64
2353874
Ivy Global
Score Report
Ivy Global - ACT Online Exam
Date: May 9, 2021
ACT is a registered trademark of ACT Incorporated, which is not affiliated with and does not endorse this product.
View report online at:  ivy.gl/ihfla
For additional study resources, visit prep.ivyglobal.com

# Overview

## No Questions Completed

1 36
1 – 1

1 36
1 – 2

1 36
1 – 2

1 36
1 – 2

1 36
1 – 2

### Estimated* ELA Score: 1

1 36
1 – 2

* Essay score not entered

1 36
1 – 2

### English

• Organization - 0.00%
• Punctuation - 0.00%
• Grammar - 0.00%
• Sentence Structure - 0.00%
• Key Ideas - 0.00%
• Style - 0.00%

### Math

• Algebra - 0.00%
• Functions - 0.00%
• Geometry - 0.00%
• Number and Quantity - 0.00%
• Statistics and Probability - 0.00%

• Craft and Structure - 0.00%
• Central Ideas, Themes, and Summaries - 0.00%
• Relationships - 0.00%
• Integration of Knowledge and Ideas - 0.00%

### Science

• Understanding - 0.00%
• Synthesis - 0.00%
• Experimental Design - 0.00%
• Knowledge - 0.00%
• Analysis - 0.00%

Your composite score combines area scores in English, Reading, Math and Science. It does not include your essay score.

Your subscores are based on particular question types within each test section. These scores assess skills specific to the English, Math and Science tests alone. Two will be related to particular questions in the English Test: Usage/Mechanics and Rhetorical Skills. Three will relate to specific types of questions on the Math Test: Pre-Algebra/Elem. Algebra, Algebra/Coord. Geometry, and Plane Geometry/Trigonometry. The last two refer to certain questions of the Reading Test: Social Studies/Sciences, and Arts/Literature. These scores are on a scale from 1 to 18.

Subscore Area Correct Incorrect Omitted Total Subscores Breakdown English 0 0 10 10 1 0 0 10 10 1 0 0 12 12 1 0 0 15 15 1 0 0 14 14 1 0 0 14 14 1 Reading 0 0 22 22 1 0 0 11 11 1 0 0 2 2 1 0 0 3 3 1 0 0 2 2 1 Math 0 0 22 22 1 0 0 13 13 1 0 0 18 18 1 0 0 4 4 1 0 0 3 3 1 Science 0 0 7 7 1 0 0 13 13 1 0 0 5 5 1 0 0 4 4 1 0 0 11 11 1

## Suggested Review

 Look over any questions you answered incorrectly and try to solve them again. Did you just make some avoidable errors, or did you get questions wrong because you did not know how to solve them? You can find detailed answer explanations for these problems online. Create a study plan and schedule for your ACT preparation. Make sure you leave enough time to review and practice each concept you'd like to improve as well as some time to refresh your memory on concepts you're already familiar with.

# English: 1

1 36
1 – 2

Correct Incorrect Omitted Total Scaled Score
0 0 75 75 1

## English Section Breakdown

Subject Area Correct Incorrect Omitted Total
Organization
0 0 10 10
Punctuation
0 0 10 10
Grammar
0 0 12 12
Sentence Structure
0 0 15 15
Key Ideas
0 0 14 14
Style
0 0 14 14

Question:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
-
-
-
-
-
-
-
-
-
-
-
-
-
-
C
G
A
G
A
J
B
G
D
H
B
F
D
G
Topic:
P1
O7
ST3
G4
G5
ST4
SE2
SE5
P2
SE1
O2
K4
SE3
ST4
Difficulty:
3
3
4
3
3
3
2
4
3
2
4
4
2
3
Question:
15
16
17
18
19
20
21
22
23
24
25
26
27
28
-
-
-
-
-
-
-
-
-
-
-
-
-
-
D
H
B
G
C
G
A
G
B
H
B
J
A
F
Topic:
K1
SE7
ST3
SE1
P1
K4
ST1
G1
ST4
G4
SE3
G10
K2
ST5
Difficulty:
3
4
5
4
1
4
2
2
3
3
2
3
4
3
Question:
29
30
31
32
33
34
35
36
37
38
39
40
41
42
-
-
-
-
-
-
-
-
-
-
-
-
-
-
B
J
B
G
C
G
D
H
B
H
A
J
B
F
Topic:
O1
K1
SE5
ST3
G6
SE1
SE1
O5
K2
K3
P1
P4
G4
O7
Difficulty:
3
3
3
4
1
5
3
5
4
4
3
5
3
3

Question:
43
44
45
46
47
48
49
50
51
52
53
54
55
56
-
-
-
-
-
-
-
-
-
-
-
-
-
-
D
F
A
J
D
H
D
H
C
G
D
J
B
H
Topic:
ST4
O3
K1
G6
SE1
K2
P2
P6
O2
SE5
G4
O7
P1
ST4
Difficulty:
4
4
3
1
5
4
3
2
4
3
3
4
3
3
Question:
57
58
59
60
61
62
63
64
65
66
67
68
69
70
-
-
-
-
-
-
-
-
-
-
-
-
-
-
B
F
C
J
B
F
B
J
D
J
D
F
B
G
Topic:
ST4
ST3
K2
K1
G2
P2
SE2
ST3
G1
P1
O7
K3
G8
SE3
Difficulty:
3
5
5
3
3
3
2
4
4
4
3
3
2
1
Question:
71
72
73
74
75
-
-
-
-
-
A
J
A
H
A
Topic:
K4
ST1
SE7
O3
K1
Difficulty:
3
5
2
3
3

English Questions Breakdown
Category/Topic Correct Incorrect Omitted Total
Organization
0 0 10 10
0 0 1 1
Paragraph Order and Unity (O3)
0 0 2 2
Sentence Order (O2)
0 0 2 2
Transition Words (O7)
0 0 4 4
Transitions (O5)
0 0 1 1
Punctuation
0 0 10 10
Apostrophes (P2)
0 0 3 3
Colons (P4)
0 0 1 1
End-of-Sentence Punctuation (P6)
0 0 1 1
Commas (P1)
0 0 5 5
Grammar
0 0 12 12
Confusing Words (G8)
0 0 1 1
Verb Forms (G4)
0 0 4 4
Pronoun Clarity (G10)
0 0 1 1
0 0 2 2
Subject-Verb Agreement (G2)
0 0 1 1
Comparatives and Superlatives (G6)
0 0 2 2
Pronoun Forms (G5)
0 0 1 1
Sentence Structure
0 0 15 15
Misplaced Modifiers (SE5)
0 0 3 3
Tense and Voice Shifts (SE3)
0 0 3 3
Sentence Fragments (SE2)
0 0 2 2
Run-on Sentences (SE1)
0 0 5 5
Dependent Clauses (SE7)
0 0 2 2
Key Ideas
0 0 14 14
Writing Goals (K2)
0 0 4 4
Effect of a Phrase (K4)
0 0 3 3
Main Goal (K1)
0 0 5 5
Focus (K3)
0 0 2 2

English Questions Breakdown (Continued)
Category/Topic Correct Incorrect Omitted Total
Style
0 0 14 14
Appropriate Conjunctions (ST5)
0 0 1 1
Precision (ST3)
0 0 5 5
Concision (ST4)
0 0 6 6
Tone (ST1)
0 0 2 2

# Math: 1

1 36
1 – 2

Correct Incorrect Omitted Total Scaled Score
0 0 60 60 1

## Math Section Breakdown

Subject Area Correct Incorrect Omitted Total
Algebra
0 0 22 22
Functions
0 0 13 13
Geometry
0 0 18 18
Number and Quantity
0 0 4 4
Statistics and Probability
0 0 3 3

Question:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
-
-
-
-
-
-
-
-
-
-
-
-
-
-
D
G
D
J
E
H
A
J
B
H
A
H
D
G
Topic:
A8
A8
N4
F2
F1
A11
G6
F2
F3
A4
A5
A8
G1
A11
Difficulty:
2
2
3
4
3
4
1
3
4
3
3
2
3
4
Question:
15
16
17
18
19
20
21
22
23
24
25
26
27
28
-
-
-
-
-
-
-
-
-
-
-
-
-
-
E
G
D
K
C
K
E
F
D
K
A
F
C
H
Topic:
F3
A8
A6
A11
A10
S3
A11
G4
A5
N7
F2
A6
A10
S5
Difficulty:
4
2
4
3
4
4
5
5
3
5
3
3
3
4
Question:
29
30
31
32
33
34
35
36
37
38
39
40
41
42
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
H
C
H
C
H
E
H
C
G
A
H
C
H
Topic:
F3
F7
S5
G1
A5
A11
G5
G5
G4
A11
G1
A11
A8
G7
Difficulty:
4
1
5
3
3
4
3
4
3
4
3
4
2
3

Question:
43
44
45
46
47
48
49
50
51
52
53
54
55
56
-
-
-
-
-
-
-
-
-
-
-
-
-
-
D
K
E
K
B
J
E
J
B
H
B
F
A
H
Topic:
G5
G1
G5
F2
G3
G5
F4
G7
F1
F1
G2
G5
A11
G4
Difficulty:
3
3
4
3
3
4
5
4
3
4
3
4
5
5
Question:
57
58
59
60
-
-
-
-
D
K
A
F
Topic:
N5
A11
N2
F1
Difficulty:
5
5
5
5

Math Questions Breakdown
Category/Topic Correct Incorrect Omitted Total
Algebra
0 0 22 22
Components of Algebra (A4)
0 0 1 1
Exponents (A5)
0 0 3 3
Ratios and Percent (A11)
0 0 9 9
Multistep Arithmetic (A8)
0 0 5 5
Inequalities (A6)
0 0 2 2
0 0 2 2
Functions
0 0 13 13
Building Functions (F2)
0 0 4 4
Applying Functions (F1)
0 0 4 4
Sequences (F7)
0 0 1 1
Logarithms and Trigonometry (F4)
0 0 1 1
Graphing Functions (F3)
0 0 3 3
Geometry
0 0 18 18
Triangles and Trigonometry (G7)
0 0 2 2
Circles (G3)
0 0 1 1
Angles (G1)
0 0 4 4
Area and Perimeter (G2)
0 0 1 1
Length (G6)
0 0 1 1
Coordinate Geometry (G5)
0 0 6 6
Concepts and Formulas (G4)
0 0 3 3
Number and Quantity
0 0 4 4
Matrices (N5)
0 0 1 1
Fractions (N4)
0 0 1 1
Complex Numbers (N2)
0 0 1 1
Properties of Real Numbers (N7)
0 0 1 1
Statistics and Probability
0 0 3 3
Counting (S3)
0 0 1 1
Statistical Analysis (S5)
0 0 2 2

1 36
1 – 2

Correct Incorrect Omitted Total Scaled Score
0 0 40 40 1

Subject Area Correct Incorrect Omitted Total
Craft and Structure
0 0 22 22
0 0 11 11
Central Ideas, Themes, and Summaries
0 0 2 2
Relationships
0 0 3 3
Integration of Knowledge and Ideas
0 0 2 2

Question:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
-
-
-
-
-
-
-
-
-
-
-
-
-
-
B
G
C
H
D
G
C
F
D
H
B
J
B
F
Topic:
W2
W2
C2
P2
C1
C2
T1
R2
T1
T2
T2
C1
W2
C1
Difficulty:
2
3
2
2
4
3
5
4
3
4
4
3
2
3
Question:
15
16
17
18
19
20
21
22
23
24
25
26
27
28
-
-
-
-
-
-
-
-
-
-
-
-
-
-
C
F
D
G
A
G
A
H
D
G
C
F
B
G
Topic:
T2
C2
W2
P2
R2
C3
P1
P2
C1
R2
W2
C2
W1
C2
Difficulty:
3
5
3
3
4
4
3
1
2
3
4
3
2
2
Question:
29
30
31
32
33
34
35
36
37
38
39
40
-
-
-
-
-
-
-
-
-
-
-
-
D
F
A
G
D
G
C
F
C
F
B
H
Topic:
W1
I1
P1
W1
W2
I2
C1
T1
T2
W2
M2
M2
Difficulty:
2
3
4
3
1
5
4
4
3
3
2
3

Category/Topic Correct Incorrect Omitted Total
Craft and Structure
0 0 22 22
Word Meaning (W2)
0 0 7 7
Word Choice (W1)
0 0 3 3
Role of Sentence or Phrase (T1)
0 0 3 3
Point of View (P2)
0 0 3 3
Purpose (P1)
0 0 2 2
Paragraph Function (T2)
0 0 4 4
0 0 11 11
Details (C1)
0 0 5 5
Drawing Conclusions (C2)
0 0 5 5
Paraphrase (C3)
0 0 1 1
Central Ideas, Themes, and Summaries
0 0 2 2
Summarize (I2)
0 0 1 1
Central Idea (I1)
0 0 1 1
Relationships
0 0 3 3
Comparative (R2)
Integration of Knowledge and Ideas
0 0 2 2
Combine Passages (M2)

# Science: 1

1 36
1 – 2

Correct Incorrect Omitted Total Scaled Score
0 0 40 40 1

## Science Section Breakdown

Subject Area Correct Incorrect Omitted Total
Understanding
0 0 7 7
Synthesis
0 0 13 13
Experimental Design
0 0 5 5
Knowledge
0 0 4 4
Analysis
0 0 11 11

Question:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
-
-
-
-
-
-
-
-
-
-
-
-
-
-
B
G
D
J
C
F
C
F
A
F
D
G
D
H
Topic:
U4
A5
S2
A3
E2
E1
K1
U4
U2
S3
S3
A3
S3
S1
Difficulty:
1
3
3
4
3
3
2
1
2
3
3
3
5
3
Question:
15
16
17
18
19
20
21
22
23
24
25
26
27
28
-
-
-
-
-
-
-
-
-
-
-
-
-
-
D
G
B
H
C
J
A
H
D
G
D
G
A
J
Topic:
S2
A2
S3
S3
S2
K1
U2
S2
E1
A5
A4
K1
E1
U5
Difficulty:
3
3
5
3
3
3
3
3
5
3
3
2
5
1
Question:
29
30
31
32
33
34
35
36
37
38
39
40
-
-
-
-
-
-
-
-
-
-
-
-
C
H
A
H
A
J
B
F
B
G
C
J
Topic:
U4
A5
A2
A5
K1
U4
S3
A3
A3
S3
E1
S1
Difficulty:
2
3
3
3
2
3
3
3
4
5
5
4

Science Questions Breakdown
Category/Topic Correct Incorrect Omitted Total
Understanding
0 0 7 7
Locate Information in a Figure (U4)
0 0 4 4
Determine Relationships (U2)
0 0 2 2
Locate Information in the Text (U5)
0 0 1 1
Synthesis
0 0 13 13
Compare and Contrast Figures (S1)
0 0 2 2
Compare and Contrast Text (S2)
0 0 4 4
Evaluate Multiple Claims (S3)
0 0 7 7
Experimental Design
0 0 5 5
Apply Experimental Design (E1)
0 0 4 4
Understand Experimental Design (E2)
0 0 1 1
Knowledge
0 0 4 4
Define Scientific Terms (K1)
Analysis
0 0 11 11
Interpolate and Extrapolate (A4)
0 0 1 1
Make Predictions (A5)
0 0 4 4
Evaluate claims (A3)
0 0 4 4
Create a Figure (A2)
0 0 2 2

# Question Topics

The following tables list the types of questions that appear in every section of the test.

English Section
CodeDescriptionExample
G1 Adverbs and Adjectives: Distinguish between adverb and adjective forms of words, and determine which is necessary in particular situations. "Lucinda bakes extreme deliciously brownies."
G2 Subject-Verb Agreement: Use the form of a verb that agrees with the subject of the sentence in number and person. "Miguel prefer to run early in the morning, when it's still cool out."
G3 Pronoun-Antecedent Agreement: Use the form of a pronoun that agrees with its antecedent in number and person, and that is correctly personal or non-personal. "While Lee's day-job is in the service industry, their vocation is in the performing arts."
G4 Verb Forms: Identify and correct verbs that have incorrectly formed tenses: simple tenses for regular and irregular verbs, and complex tenses that use helping verbs. "I couldn't believe what I had sawn: a whale—a real, live whale!"
G5 Pronoun Forms: Use the correct forms of pronouns, including object, subject, possessive, and reflexive pronoun forms. "When UNICEF published they report on the treatment of refugees, it made headlines."
G6 Comparatives and Superlatives: Correctly incorrectly formed comparatives or superlatives, and distinguish between comparatives and superlatives and select the correct forms for specific situations. "We thought that we might save money by going to another mechanic, but the second quote was even more worse than the first."
G7 Prepositions: Use logical and idiomatic prepositions. "Revolutionary fighters lined up their cannons among the edge of the ridge, even though the didn't have the ammunition to fire them."
G8 Confusing Words: Distinguish between the forms of commonly confused words (e.g., "their" vs. "there") and select the correct forms for specific situations. "ER doctors may try to mitigate the affects of certain poisons by having patients consume charcoal "shakes," which prevent the absorption of poisons in the digestive tract."
G9 Idioms: Identify and correct unidiomatic expressions, and distinguish between different senses of idiomatic expressions and select the correct senses for specific situations. "We want to encourage students to aim in the direction of stars because we believe that great ambition leads to great success."
G10 Pronoun Clarity: Idenfity pronouns that have unclear antecedents, and select clearer pronouns or substitute more specific nouns. "Liu bought a used car from Steve, but he wasn't happy with the deal."

English Section (Continued)
CodeDescriptionExample
K1 Main Goal: Determine whether a passage satisfies a certain purpose stated as the writer's goal, and why it does or does not. "Suppose the writer's goal had been to write an essay explaining why it is important to begin obedience training early in a dog's life. Would this essay accomplish this goal?"
K2 Writing Goals: Determine whether certain changes should be made, or which specific changes should be made to accomplish stated goals. "At this point in the essay, the writer wants to add information that describes the appearance of the burial vessels. Which choice best accomplishes this goal?"
K3 Focus: Determine the relevance of material in terms of the paragraph or the passage as a whole, and delete irrelevant material. "The writer is consdiering deleting the underlined phrase. Should the writer make this deletion?"
K4 Effect of a Phrase: Correctly identify the effect that a certain phrase or sentence has on a sentence, paragraph, or passage, especially in terms of how the meaning would change if the phrase or sentence were removed. "If the preceding sentence were deleted, the essay would primarily lose:"
O1 Adding Information: Determine where a proposed addition should be added to the passage. "After writing this essay, the writer came across the following true statement in her notes. Where should this statement be added to the essay?"
O2 Sentence Order: Reorganize sentences within a pagraph to ensure the logical progression of events and ideas. "For the sake of logic and coherence, Sentence 4 should be placed:"
O3 Paragraph Order and Unity: Reorganize paragraphs within a passage to ensure the logical progression of events and ideas. "For the sake of logic and coherence, Paragraph 2 should be placed:"
O4 Introductions: Select appropriate introductions for paragraphs or passages. "Which of the following choices provides the most effective introduction for Paragraph 2?"
O5 Transitions: Select sentences that provide appropriate transitions between parts of a paragraph, or between two paragraphs. "Which of the following choices provides the most effective transition between Paragraph 1 and Paragraph 2?"
O6 Conclusions: Select appropriate concluding sentences for paragraphs or the passage as a whole. "Which of the following choices provides the most effective conclusion for this essay as a whole?"
O7 Transition Words: Select appropriate transitional words and phrase to express logical relationships between parts of a sentence, sentences, or paragraphs. "There are 28 Jesuit colleges and universities in the United States. As a result, students are not required to be Catholics in order to attend these institutions."
P1 Commas: Idendify problems with comma use, and delete unnecessary commas, or use commas for various purposes. "The deer, on the other hand were not so pleased with the new fence."
P2 Apostrophes: Identify situations where apostrophes are needed to form possessives, where they have been incorrectly added to plural nouns, or other errors. "Doctors were concerned about the legislation's potential effects on patients right's."
P3 Semicolons: Delete unnecessary semicolons, or use semicolons to connect indepdent clauses. "Most forensic science is shaky, at best; however, DNA testing is based on solid science."
P4 Colons: Delete unnecessary colons, or use colons to introduce examples and elaborations. "Murano glass chandeliers are known for: their elaborate, colorful ornamentation."
P5 Dashes: Delete unnecessary dashes, or use dashes to set off parenthetical elements. "While people typically think of Dinosaurs as reptiles—and older classifications categorize them as "mammal-like reptiles," they may actually have been much more closely related to mammals than reptiles. "
P6 End-of-Sentence Punctuation: Use the correct punctuation to logically end a complete sentence. "So, how do schools get funded. Most schools receive"

English Section (Continued)
CodeDescriptionExample
SE1 Run-on Sentences: Identify and correct run-on sentences, including comma splices and fused sentences. "Transportation is only the second-largest source of greenhouse gases, most greenhouse gases actually come from burning fuel for electricity."
SE2 Sentence Fragments: Correct sentence fragments by connecting phrases to independent clauses. "There was a major flaw with the phone. An exploding battery."
SE3 Tense and Voice Shifts: Correct inappropriate and illogical shifts in verb tense and voice within sentences, or between sentences in the passage. "I slept in that morning, and miss my bus as a result. I ended up arriving nearly an hour late."
SE4 Pronoun Shifts: Correct inappropriate and illogical shifts in pronoun use, where different pronouns are used to refer to the same antecedent. "When you develop your reading skills, one develops your ability to learn all kinds of things."
SE5 Misplaced Modifiers: Correctly place modifiers next to the objects that they modify, and correct confusing modifier placement. "Sparkling in the pan, the panner noticed a few flecks of gold."
SE6 Parallel Structure: Ensure that phrases in sentences have parallel structure, including phrases in lists or series and phrases around correlative conjunctions. "You must not only make a plan, but also you should execute it."
SE7 Dependent Clauses: Identify and correct errors in which dependent marker words are added to clauses that should be independent or where they are omitted from dependent clauses where they are needed, and correct punctuation and conjunctions used with dependent clauses. "While I loved the city, though I hated the smell."
ST1 Tone: Identify and correct words and phrases that deviate from the overall style and tone of the passage. "When they at last mounted the towering peak, and could see for the first time the land over the ridge, the exlorers were awe-struck: a very, very big lake sprawled before them, stretching even to the horizon."
ST2 Clarity: Revise clunky, awkward sentences to improve their clarity. "The authority is, that is, vested in the people, that of the congress—their power—it's from the people."
ST3 Precision: Make word choices that precisely express the intended meaning of a sentence. "Everyone thought that a rough plan would be enough, but the plan ended up being so muffled that nobody on the team knew exactly what their role was."
ST4 Concision: Revise wordy or redundant phrases so that they are more concise. "When it came to expressing his thoughts, he did not believe the idea that he should not express his ideas when they were unconventional ideas."
ST5 Appropriate Conjunctions: Use appropriate conjunctions to signal logical relationships between clauses (e.g. "and" vs. "but" vs. "so"). "Around half of the attendees left when the air conditioning malfunctioned, so the rest complained to the organizers."

Math Section
CodeDescriptionExample
A1 Absolute Value: Identify and solve inequalities or equations involving absolute value signs, and understand them in terms of distance. "$$| 9 - 21 |- | 8 + 3 - 16 | = ?$$"
A2 Algebraic Principles: Solve questions and draw conclusions based on the fundamental principles of algebra (identifying expressions, first-degree equations etc.), making use of rounding and scientific notation. "In scientific notation, $0.00000729 =?$"
A3 Complex Equations: Manipulate complex algebraic expressions and identify where they are undefined. "Let $u$, $v$, and $w$ be positive integers such that $u = \frac{3v}{5}$ and $v = \frac{4}{w}$. Which of the following expresses $w$ in terms of $u$?"
A4 Components of Algebra: Use the basic components of algebra such as substitution, combining like terms, and addition or subtraction of expressions. "If $a$ is half of $b$, and $c$ is $3$ times $a$, how many times greater than $b$ is $c$? "
A5 Exponents: Work with powers and roots of 2, 3, or any positive integer. "If $x$ is a real number such that $\sqrt{x} = 2$, then $x^2 + x^3 = ?$"
A6 Inequalities: Solve linear, simple, or compound inequalities, and match them to their graphs on the number line. "Which of the following systems of inequalities represents the shaded region on the graph below? "
A7 Linear Equations and Systems: Solve simple, one-step linear equations, as well as systems involving two linear equations. "If $6z + 2 = 5 – 11z$, then $z = ?$"
A8 Multistep Arithmetic: Solve arithmetic problems (e.g. unit conversions, comparing percentages/averages) that require multiple steps, planning, or strategic manipulation. "Phil and Jose are purchasing boards. Phil has a $\$6$budget for purchasing boards and Jose has a$\$9$ budget for purchasing boards. If fourteen boards cost $\$26$, how many more boards can Jose purchase than Phil? " A9 Polynomials: Multiply binomials. Add, subtract, multiply, and apply the remainder theorem to polynomials. "If$\frac{a}{b} = \frac{x - \frac{1}{2}}{x + \frac{1}{3}}$and$x \neq -\frac{1}{3}$, which of the following expressions is equal to$ab$? 1.$x^2 - \frac{1}{6}x - \frac{1}{6}$2.$x^2 - \frac{1}{6}$3.$x^2 + \frac{1}{2}x - \frac{1}{6}$" A10 Quadratics: Factor and solve quadratic equations, and match simple quadratic inequalities to their graphs on a number line. "Which values of$x$satisfy the equation$x^2 - 16x = 0?$" Math Section (Continued) CodeDescriptionExample A11 Ratios and Percent: Solve word or multi-step arithmetic problems relating to rates, proportions, percentages, or scale factors. "In a drama class of$60$students,$\frac{1}{4}$participate in musical theater. Of the students in musical theater,$\frac{1}{3}$do not play an instrument. How many students in the class participate in musical theater and play an instrument?" A12 Slope: Understand the meaning of slope and determine the slope of a line from an equation. "The table below shows values of$x$and$f(x)$for the function$f (x) = mx + 4$. What is the value of$m$? $xf(x)0417210313416519$" A13 Word and Real-World Problems: Solve word problems relating to topics such as money or common unit conversions. Build functions, expressions, equations, or inequalities for common algebra settings (e.g. rate, distance, cost/demand/profit). "In order to win an election, the top candidate must receive at least$30$votes more than the runner-up candidate. If the top candidate receives$a$votes, and the runner-up candidate receives$b$votes, which of the following expresses this rule?" F1 Applying Functions: Evaluate linear, polynomial, composite, and trigonometric functions at given values. Identify function asymptotes. "If$f(x) = 2x^2 + 1$and$g(x) = \frac{1}{x}$, what is$f(g(2))$?" F2 Building Functions: Build linear, exponential, inversely proportional, or composite functions. "A strain of bacteria doubles during every half-hour growth interval, and began with an initial population of$50$bacteria. Which of the following equations accurately expresses the growth of the strain per hour?" F3 Graphing Functions: Identify and relate graphs to given functions, translate graphs vertically or horizontally, and draw conclusions from graphs. "Which of the following equations represents the line below? " F4 Logarithms and Trigonometry: Use unit circle trigonometry and basic identities. Exhibit knowledge of logarithms. "What is the value of$log_{2}128 - log_{2}64$?" F5 Modeling Using Functions: Understand the concept of modelling a real-life situation in a function, and compare graphical models to the real-life of a situation that is given. "Otto is a traveling beach salesman. He sells beach balls for$\$17$ and bags of cotton candy for $\$4$. Every day, he travels along the same beach, and a fisherman gives him a$\$2$ tip. Which of the following expressions represents Otto’s daily profit, in dollars, if he sells $b$ beach balls and $c$ bags of cotton candy?"

Math Section (Continued)
CodeDescriptionExample
F6 Properties of Functions: Understand the concept of a function, how to determine its domain and range, and the use of function notation. "Which of the following graphs function $f(x)$, $g(x)$, and $h(x)$ for $-2 < 2x \leq 2$? $$f(x) = -x^2 - 1$$ $$g(x) = \frac{x}{2} + \frac{1}{2}$$ $$h(x) = 1 - x$$"
F7 Sequences: Identify and extend recursive, arithmetic, or geometric sequences. "What is the sum of the first $12$ terms of the arithmetic sequence $19, 13, 7, 1...$?"
G1 Angles: Use properties of parallel lines and special sums of angles to compute unknown angle measures. "In the figure below, lines $m$ and $n$ are parallel, and transversals $q$ and $s$ intersect to form the equilateral triangle $\bigtriangleup BCD$. If $\angle E$ is equal to $\angle C$, what is the value of $x$?
"
G2 Area and Perimeter: Compute the perimeter or area of triangles, rectangles, polygons, and composite geometric figures. "In the figure shown below, each pair of intersecting line segments meets at a right angle, and all the lengths are given in meters. What is the perimeter, in meters, of the figure?
"
G3 Circles: Compute the area and circumference of circles, and use relationships between angles, arcs, and distances within a circle. "If the arc length of a sector of a circle with radius $1$ is $\frac{\pi}{2}$, what is the measure of the sector's angle, in degrees?"
G4 Concepts and Formulas: Use given geometric formulas or relations, and solve complex geometrical problems that require multiple concepts and planning. "The volume of a sphere can be expressed by the equation $V = \frac{4}{3}\pi r^3$, where $r$ is the radius. What would happen to the volume of a sphere if its radius is tripled?"
G5 Coordinate Geometry: Find coordinates, distances, slopes, equations, and midpoints of lines and points on the coordinate plane. Identify vertices and centers of parabolas and circles. Apply translations, reflections, and rotations in the xy-coordinate plane. "The function $f(x) = x^3 + 3$ is modified to create $g(x)$. If $g(-x) = -g(x)$, how is $f(x)$ modified to create $g(x)$?"
G6 Length: Estimate or calculate lengths of line segments based on geometric figures or lengths of overlapping line segments. "Point $P$ is $6$ units east of point $M$ on a line, and point $Q$ lies $9$ units east of point $N$ on the same line. If point $N$ is $2$ units east of point $M$, how many units are between point $P$ and point $Q$? "

Math Section (Continued)
CodeDescriptionExample
G7 Triangles and Trigonometry: Use properties of similar and isosceles triangles, the pythagorean theorem, or basic trigonometric ratios to solve triangles. Relate basic trigonometric expressions to right triangles. "A radar on a boat records the positions of 2 islands, $A$ and $B$, and the angle between them, as shown in the diagram below. If the units on the diagram are in miles, what is the distance $d$ between islands $A$ and $B$ to the closest mile?
"
N1 Applying Properties of Exponents: Apply properties of rational exponents and write powers of 10 using exponents. "If $10^{3x+2} = \frac{(10^{5})^{-2} (10^4)}{10^{2}}$, what is the value of $x$?"
N2 Complex Numbers: Exhibit knowledge of the complex number system. Multiply, add, and subtract complex numbers. "What is the value of $i^{1023}$? (Note: $i = \sqrt{-1}$)"
N3 Concepts and Factors: Apply number properties involving prime factorization, greatest common factors, lowest common multiples, and even/odd numbers. "What is the least common multiple of $12$, $48$, and $72$?"
N4 Fractions: Recognize equivalent fractions and order different fractions. "Danielle, Arthur, and Carlos are responsible for bringing marshmallows to a party. Danielle has $1\frac{3}{4}$ bags, Arthur has $4\frac{2}{3}$, and Carlos has $3\frac{1}{2}$. How many bags do they have in total?"
N5 Matrices: Apply addition, subtraction, and scalar or regular multiplication of matrices. "$$\begin{bmatrix} -1 & 2 \newline 2 & 4 \end{bmatrix} \times \begin{bmatrix} 4 \newline 2 \end{bmatrix} = ?$$ "
N6 Number Lines: Use the number line to locate numbers and to calculate distances. "Which of the following number lines represents the solution of the inequality $1 < \frac{1}{x}$?"
N7 Properties of Real Numbers: Apply, analyze, and draw conclusions on properties of real numbers and the real number system, including properties of irrational numbers. "Which of the following graphs functions $f(x)$, $g(x)$, and $h(x)$ for $-2 < 2x \leq 2$? $$f(x) = -x^{2} - 1$$ $$g(x) = \frac{x}{2} + \frac{1}{2}$$ $$h(x) = 1 - x$$"

Math Section (Continued)
CodeDescriptionExample
N8 Vectors: Use relations involving addition, subtraction, and scalar multiplication of vectors. "Vector $\vec{BC}$ is shown in the standard $(x,y)$ coordinate plane below. Which of the following is the component form of $\vec{BC}$?
"
S1 Analysis: Read, interpret, compare, and manipulate data from tables and charts. "Every day, Fred and Angela make daily deposits, in dollars, into their savings accounts, as shown in the table below.
 $Day$ $Fred$ $Angela$ $June \, 1$ $25$ $1$ $June \, 2$ $30$ $2$ $June \, 3$ $35$ $4$ $June \, 4$ $40$ $8$ $June \, 5$ $45$ $16$

If Fred’s deposits continue to increase at the same daily rate, how much money will he have after 10 days?"
S2 Arithmetic Mean: Determine the average or weighted average of given numerical data, and determine values of data given an average or weighted average. "The average of $2$ numbers is $184$. The smaller of the $2$ numbers is $170$. What is the value of the larger number?"
S3 Counting: Apply counting techniques and the use of Venn diagrams in counting. "Alex owns $5$ shirts, $5$ pants, $3$ sweaters, and $4$ pairs of sandals. A complete outfit consists of a shirt, a pair of pants, a sweater, and a pair of sandals. If he loses a pair of sandals and a shirt, how many complete outfit options does he lose?"
S4 Probability: Compute simple, conditional, and joint probabilities. Analyze and compute, the probability of a single event and that of its complement, and that of multiple events (e.g., using and, or, and not). "Anabel and Oliver have a 2-year-old son. Anabel is expecting a second child soon. What is the probability that their second child is a boy?"
S5 Statistical Analysis: Understand, interpret and draw conclusions from a set of data, chart, or table. Analyze data by identifying properties such as mode, median, and mean. "Wilson has a set of data consisting of $7$ integers. If $2$ numbers greater than the median and $2$ less than the median are added to the set, which of the following statements must be true?
1. The mean has stayed the same
2. The median has stayed the same
3. The mode has stayed the same
"

CodeDescriptionExample
A1 Support Claim: Analyze how sentences offer reasons or support a claim "The author uses the description of the tax laws in Connecticut in order to make the point that:"
A2 Identify Claim: Identify a passage's central claim "One of the primary arguments that the author is trying to make in the passage is that:"
C1 Details: Locate details ranging from basic facts to subtle information requiring interpretation "According to the passage, when is user engagement with the product the greatest?"
C2 Drawing Conclusions: Draw conclusions ranging from simple to complex, based on information in passages "It can reasonably be inferred from the passage that Anthony:"
C3 Paraphrase: Paraphrase statements as they are used "When the author says that she is “extending the offer” (line 12), she most likely means that she:"
I1 Central Idea: Identify or infer a topic, central idea, or theme "One of the main points that the author seeks to make in the passage is that:"
I2 Summarize: Summarize key supporting ideas and details "As described in the passage, the effect the Mars Rover has had on space exploration can best be summarized by which of the following statements?"
M1 Compare Passages: Make comparisons between two passages, ranging from simple to complex "Both Passage A and Passage B are concerned with:"
M2 Combine Passages: Draw logical conclusions using information from two passages "How would the author of Passage B respond to the author of Passage A's claim that DDT does not affect robins' health?"
P1 Purpose: Identify or infer the purpose of a passage as a whole "The primary purpose of the passage is to:"
P2 Point of View: Understand the point of view of authors or those mentioned in passages "The point of view from which the passage is told is best described as that of:"
R1 Order Events: Order sequences of events provided in the passage "According to the narrator, what did Dr. Henry do prior to publishing his paper?"
R2 Comparative: Identify or understand comparative relationships "Which of the following best describes the difference between the narrator's experience at the stadium and the narrator's experience at the auditorium?"
R3 Cause-Effect: Identify or understand cause-effect relationships "It can logically be inferred from the passage that the reason it Heather and Lisa have not seen each other for a few months is because:"
T1 Role of Sentence or Phrase : Analyze how sentence(s) or phrase(s) relate to the whole passage (purpose/role of sentence) "The author states that “the witness's testimony varied over the course of the trial” (lines 7-10) in order to:"
T2 Paragraph Function: Identify or infer the function of paragraphs "Which of the following best describes the way the second paragraph functions in the passage?"
T3 Overall Structure: Analyze the overall structure of a passage "The passage as a whole can primarily be characterized as the narrator’s:"
W1 Word Choice: Analyze how specific words or phrases shape the meaning or tone of passages "The author calls some of the early films “groundbreaking” in line 22 most likely because they:"
W2 Word Meaning: Interpret words and phrases as they are used in passages "As it is used in line 2, the word "favor" most nearly means:"

Science Section
CodeDescriptionExample
A1 Apply Relationships: Use simple and complex mathematical relationships that exist between data. "
Experimental design adapted from Manupati Prasanth, “Antimicrobial Efficacy of Different Toothpastes and Mouthrinses: An In Vitro Study.” © 2011 by Dental Research Journal. PMC3177399

A student treated E. coli with a 1:4 dilution of Toothpaste 4. Based on the data of Toothpaste 1 in tables 1 and 2, which of the following was most likely the average inhibition zone diameter in this experiment?"
A2 Create a Figure: Translate information into a table, graph, or diagram. "Which of the following figures best depicts the location of the treeline? "
A3 Evaluate claims: Determine whether an idea, hypothesis, prediction, or conclusion is consistent with or supported by the information provided, or vice-versa. "The reproductive efficiency of a cotton plant is defined as the total number of seeds released by a cotton plant divided by the number of bolls produced. The researchers conclude that S2 plants have a lower average reproductive efficiency than S1 plants. Which of the following could explain this observation?"

Science Section (Continued)
CodeDescriptionExample
A4 Interpolate and Extrapolate: Perform interpolation or extrapolation using data in a table or graph. "
According to Figure 3, the inertial force acting on an object with a mass of $7.5 \times 10^{5} kg$ traveling at $50m/s$ at $90^{\circ} N$ latitude would be:
1. less than $50 \, N$.
2. between $50 \, N$ and $100 \, N$.
3. between $100 \, N$ and $150 \, N$.
4. greater than $150 \, N$.
"
A5 Make Predictions: Analyze information provided in order to make a prediction (ex: the results of a new trial). "Based on Figure 2, if the scientists had measured the UV absorbance of circular DNA in $95 \%$ DMF at $75^{\circ} C$, the absorbance would most likely have been:
1. lower than $0.2$
2. between $0.2$ and $0.35$
3. between $0.35$ and $0.5$
4. greater than $0.5$
"
E1 Apply Experimental Design: Know how the experiment works; be able to predict the effect of modifications and explain how to produce specified results. "After Study 1 was completed, it was discovered that the HCl used was contaminated with an unknown amount of pink dye, which absorbs light at $425 \, nm$. What effect, if any, did this contamination have on the results of Study 1?"
E2 Understand Experimental Design: Be able to identify controls, errors, and hypotheses in order to understand why the methods and tools used were or were not effective. "What was the dependent variable in Study 1?"
K1 Define Scientific Terms: Know scientific terminology. "Which of the following best describes the forces between positively charged particles and negatively charged particles?"

Science Section (Continued)
CodeDescriptionExample
S1 Compare and Contrast Figures: Compare or combine data from two or more data presentations (ex: using one table to categorize another). "

According to Figures 1 and 2, how do displacement and strain differ?"
S2 Compare and Contrast Text: Identify which models or experiments are supported or contradicted by given information; note similarities and differences with their methodology and presented information. "If a black hole were to form near a star, it would accumulate matter from that star. The accumulated matter would then emit single particles. Which scientist, if any, would be likely to claim that these particles would be observable from Earth?"
S3 Evaluate Multiple Claims: Determine which hypothesis, prediction, conclusion, or model supports or contradicts experimental results or information in the text. "There are two classes of aging hypotheses. The Program Hypothesis states that aging is biologically determined. The Error Hypothesis states that aging is caused by damage accumulated over time. Which scientist(s) would agree with the Error Hypothesis?"

Science Section (Continued)
CodeDescriptionExample
U1 Basic Calculations: Compare or combine data from a single data presentation. "Based on Figure 2, the average displacement for bare concrete for the $200 \, ms$ during and after the explosion of $2 \, kg$ of TNT was closest to which of the following?"
U2 Determine Relationships: Determine how variables depend on one another due to a linear or nonlinear relationship that exist between data. "
According to Figure 2, as latitude increases from the Equator to the North Pole, the rate of Earth’s rotation:"
U3 Implications and Assumptions: Identify assumptions and implications of a model. "When attempting to replicate Studies 1 and 2, one of the students decides to use water, instead of acetone, as her solvent. Will she be able to compare her results to the results of Studies 1 and 2?"
U4 Locate Information in a Figure: Find data or basic features of a graph, table, or diagram. "
According to Figure 1, which of the following correctly orders the 5 pollen strains from shortest average pollen tube at $30°C$ to longest average pollen tube at $30°C$? "
U5 Locate Information in the Text: Find information from the text that describes an experiment or data presentation. "Which of the following observations would indicate the presence of a black hole, in Scientist A’s view?"