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Equity with Hecht-Calandra
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One year, a list or a range. Questions so far come from 2026, 2025, 2024, 2023, 2018.

Section

English 397
Math 460

Format

Equation editor 10
Fill the blanks 11
Grid-in 43
Multiple choice 776
Multiple response 11
Number line 3
Table grid 3

Question type

English

Revising/editing 71

All revising/editing 71
Punctuation 10
Sentence structure 8
Grammar and usage 7
Combining and revising sentences 6
Precise language and style 9
Transitions 7
Organization 5
Supporting details 11
Introductions and conclusions 13

Reading comprehension 326

All reading comprehension 326
Central idea and theme 71
Key details 17
Textual evidence 70
Inferences and conclusions 11
Word meaning and figurative language 49
Text structure 92
Author's purpose and point of view 32
Development of ideas and characters 30

Math

Numbers and operations 138

All numbers and operations 138
Arithmetic and order of operations 24
Fractions and decimals 55
Number properties 33
Exponents and roots 11
Number line and absolute value 27
Patterns and sequences 5

Ratios, rates and percents 143

All ratios, rates and percents 143
Ratios 18
Rates and speed 19
Proportions and scale 45
Percents 48
Unit conversion 19

Expressions and equations 93

All expressions and equations 93
Algebraic expressions 23
Linear equations 43
Inequalities 20
Two-variable problems 6
Functions and slope 1

Geometry 58

All geometry 58
Angles and lines 13
Triangles and the Pythagorean theorem 1
Area and perimeter 20
Circles 12
Volume and surface area 13
Coordinate plane 3

Statistics and probability 83

All statistics and probability 83
Mean, median, mode and range 18
Probability 40
Counting and arrangements 18
Tables, charts and graphs 13

NYS standard

English

7R reading 326

All 7R reading 326
7R1 textual evidence and inferences 132
7R2 theme or central idea 80
7R3 plot elements and ideas 92
7R4 word meaning and choice 75
7R5 structure and genre features 106
7R6 point of view and author position 45
7R8 evaluating arguments and claims 20

7W writing 42

All 7W writing 42
7W1 argument writing 10
7W1a introducing claims and counterclaims 3
7W1b supporting claims with evidence 3
7W1c precise language for arguments 1
7W1d transitions in arguments 1
7W1e concluding an argument 2
7W1f argument style and tone 1
7W2 informative/explanatory writing 32
7W2a introducing and organizing a topic 8
7W2b developing a topic 8
7W2d transitions in informative writing 10
7W2e concluding informative writing 5
7W2f informative writing style 3

7L language 83

All 7L language 83
7L1 grammar and usage conventions 20
7L2 capitalization, punctuation, and spelling 13
7L3 knowledge of language 14
7L3a precise and concise language 12
7L4 unknown and multiple-meaning words 10
7L4a context clues 9
7L4b Greek and Latin affixes and roots 1
7L5 figurative language and word relationships 38
7L5a interpreting allusions 11
7L5c connotation and denotation 13

Math

6.RP ratios and proportional relationships 100

All 6.RP ratios and proportional relationships 100
6.RP.1 ratio concepts and language 12
6.RP.2 unit rate concept 2
6.RP.3 ratio and rate reasoning 92
6.RP.3a tables of equivalent ratios 4
6.RP.3b unit rate problems 24
6.RP.3c percent as a rate per 100 29
6.RP.3d converting measurement units 24

6.NS the number system 103

All 6.NS the number system 103
6.NS.1 dividing fractions by fractions 18
6.NS.2 multi-digit division 8
6.NS.3 multi-digit decimal operations 30
6.NS.4 common factors and multiples 19
6.NS.5 positive and negative numbers 2
6.NS.6 rational numbers on number lines 12
6.NS.6c positioning rational numbers and points 12
6.NS.7 ordering and absolute value 21
6.NS.7a inequality as relative position 9
6.NS.7b order statements in context 1
6.NS.7c absolute value as distance 9
6.NS.7d absolute value versus order 2

6.EE expressions, equations, and inequalities 75

All 6.EE expressions, equations, and inequalities 75
6.EE.1 whole-number exponent expressions 8
6.EE.2 expressions with variables 29
6.EE.2a writing algebraic expressions 5
6.EE.2b parts of an expression 3
6.EE.2c evaluating expressions and order of operations 21
6.EE.3 generating equivalent expressions 2
6.EE.4 identifying equivalent expressions 1
6.EE.5 solutions and substitution 7
6.EE.6 variables representing unknown numbers 6
6.EE.7 one-step equations 17
6.EE.8 writing simple inequalities 11
6.EE.9 dependent and independent variables 3

6.G geometry 25

All 6.G geometry 25
6.G.1 area of polygons 13
6.G.2 volume with fractional edge lengths 6
6.G.3 polygons in the coordinate plane 3
6.G.4 nets and surface area 3
6.G.5 perfect squares and perfect cubes 7

6.SP statistics and probability 54

All 6.SP statistics and probability 54
6.SP.1b samples and populations 5
6.SP.3 measures of center and variation 3
6.SP.5 summarizing data sets 21
6.SP.5a number of observations 5
6.SP.5c range, center, and overall pattern 17
6.SP.6 probability from 0 to 1 4
6.SP.7 long-run relative frequency 4
6.SP.8 probability models for simple events 23
6.SP.8a uniform probability models 20
6.SP.8b probability models from observed frequencies 2

7.RP ratios and proportional relationships 87

All 7.RP ratios and proportional relationships 87
7.RP.1 unit rates with fractions 7
7.RP.2 proportional relationships 25
7.RP.2a testing for proportionality 4
7.RP.2b constant of proportionality 20
7.RP.2c proportional relationship equations 5
7.RP.2d points on proportional graphs 4
7.RP.3 multistep ratio and percent problems 55

7.NS the number system 78

All 7.NS the number system 78
7.NS.1 adding and subtracting rational numbers 39
7.NS.1a opposite quantities making 0 1
7.NS.1b rational number addition 6
7.NS.1c rational number subtraction 30
7.NS.1d properties for adding and subtracting 6
7.NS.2 multiplying and dividing rational numbers 30
7.NS.2a rational number multiplication 13
7.NS.2b rational number division 9
7.NS.2c properties for multiplying and dividing 4
7.NS.2d fractions to decimals by long division 7
7.NS.3 four operations with rational numbers 22

7.EE expressions, equations, and inequalities 98

All 7.EE expressions, equations, and inequalities 98
7.EE.1 linear expressions with rational coefficients 24
7.EE.2 rewriting expressions to show relationships 11
7.EE.3 multi-step rational number problems 9
7.EE.4 equations and inequalities from problems 67
7.EE.4a two-step equations 36
7.EE.4b two-step inequalities 19

7.G geometry 41

All 7.G geometry 41
7.G.1 scale drawings 10
7.G.3 slicing three-dimensional solids 1
7.G.4 circle area and circumference 12
7.G.5 angle relationships and equations 13
7.G.6 area, surface area, and volume 5

7.SP statistics and probability 42

All 7.SP statistics and probability 42
7.SP.1 box plots and interquartile range 10
7.SP.4 comparative inferences about populations 1
7.SP.8 compound event probability 32
7.SP.8a compound event as fraction of outcomes 16
7.SP.8b sample spaces for compound events 26

8.NS the number system 1

All 8.NS the number system 1
8.NS.1 decimal expansions and irrational numbers 1

8.EE expressions, equations, and inequalities 22

All 8.EE expressions, equations, and inequalities 22
8.EE.1 integer exponent properties 2
8.EE.2 square and cube roots 3
8.EE.7 linear equations in one variable 15
8.EE.7b linear equations with rational coefficients 12
8.EE.8 systems of linear equations 3
8.EE.8c systems in real-world problems 3

8.F functions 1

All 8.F functions 1
8.F.4 modeling with linear functions 1

8.G geometry 11

All 8.G geometry 11
8.G.4 similarity and dilations 2
8.G.5 angle sums, transversals, angle-angle similarity 9

Compared with grade 7

Below grade 7 165
At grade 7 491
Above grade 7 201

What makes it hard

Understanding the question

A lot to read 24
Complex sentences 70
Hard words 64
A question in the negative 1
An unfamiliar subject 3
Figurative or literary language 70
Turning words into math 161
Reading a figure, table or graph 108
Variables instead of numbers 51

Working it out

Many steps 99
Much to keep track of 75
No obvious method 30
Combines ideas 36
Error-prone arithmetic 168
Something you must already know 154
Reading between the lines 176
Evidence in several places 112
How, not what 90
A rule that doesn't sound wrong 19
How sentences fit together 37

Choosing the answer

A very close wrong answer 258
The right answer is reworded 51
Every choice must be checked 129
An answer in an unexpected form 69
Slow to do carefully 2

Traps and wrong-answer types

Math

Stops one step early 132
Answers a different question 116
Percent of the wrong amount 16
Units or scale 20
Counting the ends 33
Negatives and direction 60
Order of operations 21
Trusting the picture 4
Information you don't need 11
Overlapping groups 12
A formula you must know 20
Answer in another form 11
Without replacement 11
Wrong operation 89
Follows a key word 7
Equation written backwards 5
Checks only one number 6
Rounds too early 19
Wrong formula 35
Numbers taken from the question 119
A faulty procedure 73
Misunderstands the concept 123
An arithmetic slip 46
Misreads the question 94
Misreads the figure 27

Reading

True but not the answer 61
Too narrow 54
Too broad or too strong 55
Wrong part of the text 90
Outside knowledge 50
Reversed relationship 10
Half right 51
Taking figurative language literally 18
Dictionary meaning, not meaning here 15
Supports only part of the claim 59
Twists what the text says 136
Word match 24
Wrong purpose or structure 48
Reads too much in 144
Wrong tone or attitude 53

Revising and editing

Changes the meaning 6
Wordy, vague or informal 13
Fragment or run-on 1
Agreement 2
Misplaced modifier 3
Verb tense or form 3
Unclear pronoun 1
Punctuation 10
Wrong transition 12
Off the point 18
Says it twice 3
Sentence in the wrong place 5
Fixes what isn't broken 16

Either section

NOT, LEAST or EXCEPT 2
Little reason to choose it 86

6 questions match

You searched for

question type Two-variable problems ×

Take these 6 questions as a practice test

Liam and Kevin each collect stamps. Liam has twice as many stamps as Kevin. Liam gives 8 of his stamps to Kevin. Liam now…2026 Practice Test A Math, question 8
- Type Two-variable problems
- NYS standards 8.EE.8c, 7.EE.4
- Difficulty 3 of 5
- Level Above grade 7
- Format Fill the blanks
Ken has k video games, and Jeff has j video games. If Ken gives 6 video games to Jeff, Ken will have twice as…2023 Test A Math, question 40
- Type Two-variable problems
- NYS standards 7.EE.4, 6.EE.2a
- Difficulty 3 of 5
Jenny starts a game with twice as many marbles as Keiko. Jenny gives Keiko 5 marbles, but she still has 10 more than Keiko.…2018 Test A Math, question 9
- Type Two-variable problems
- NYS standards 8.EE.8c, 7.EE.4
- Difficulty 4 of 5
- Level Above grade 7
Today, Tien’s age is 1/4 of Jordan’s age. In 2 years, Tien’s age will be 1/3 of Jordan’s age. How old is Jordan today?2018 Test A Math, question 30
- Type Two-variable problems
- NYS standards 8.EE.8c, 8.EE.7b
- Difficulty 4 of 5
- Level Above grade 7
Nicole’s age now is three times Carmen’s age. If Carmen will be 17 in two years, how old was Nicole 5 years ago?2018 Test B Math, question 27
- Type Two-variable problems
- NYS standards 7.EE.4, 6.EE.7
- Difficulty 2 of 5
A large container is partially filled with n liters of water. Ito adds 10 liters of water to the container, making it 60% full.…2018 Test B Math, question 33
- Type Two-variable problems, Percents
- NYS standards 7.RP.3, 7.EE.4a
- Difficulty 4 of 5
- Level Above grade 7

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