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California CAASPP · Grade 7 · Math

California Grade 7 CAASPP Math Practice Test

Build Grade 7 California CAASPP Math readiness with five focused 10-question practice sets covering proportional reasoning, rational numbers, algebra, geometry, statistics, and modeling.

Grade 7 CAASPP Math practice sets

This California Grade 7 CAASPP Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets support supplemental review across proportional relationships, rational numbers, expressions, equations, inequalities, geometry, probability, statistics, and mathematical modeling.

Math skills covered

  • Ratios, proportional relationships, scale factors, percent change, rational numbers, powers of ten, estimation, and unit rates
  • Expressions, equations, inequalities, slope-intercept form, arithmetic sequences, and mathematical relationships
  • Angle relationships, scale drawings, circles, area, surface area, volume, transformations, and coordinate geometry
  • Samples, populations, measures of center, variability, probability, compound events, and data displays
  • Multi-step equations, percent models, scale models, area and volume models, and reasonableness checks

How to use this page

Complete one 10-question set at a time. Show intermediate steps, label units, check signs, and review the explanation for every missed or guessed answer.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. It does not replace current California Department of Education guidance, official CAASPP blueprints, accommodations, or testing schedules.

For the broader California assessment hub, visit California State Assessments.

Select a test

5 Tests
1. Test2. Test3. Test4. Test5. Test

2. Test

California Grade 7 CAASPP Math Practice Questions

A 10-question California Grade 7 CAASPP Math practice set on expressions, equations, and inequalities, with answers and explanations.

Read each question carefully, choose one answer, and review the explanation after responding.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

Simplify 5x + 3 − 2x + 8.

Please select an answer first.

Correct answer: A

The correct answer is 3x + 11.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Combine like terms: 5x − 2x = 3x and 3 + 8 = 11.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Combine like terms: 5x − 2x = 3x and 3 + 8 = 11.

2. QuestionMultiple choice

Solve 3x − 7 = 20.

Please select an answer first.

Correct answer: B

The correct answer is x = 9.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Add 7 to both sides to get 3x = 27, then divide by 3 to get x = 9.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Add 7 to both sides to get 3x = 27, then divide by 3 to get x = 9.

3. QuestionMultiple choice

Which expression is equivalent to 4(2n − 3) + n?

Please select an answer first.

Correct answer: C

The correct answer is 9n − 12.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Distribute 4 to get 8n − 12, then combine with n to obtain 9n − 12.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Distribute 4 to get 8n − 12, then combine with n to obtain 9n − 12.

4. QuestionMultiple choice

Solve 2(y + 5) = 18.

Please select an answer first.

Correct answer: D

The correct answer is y = 4.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Divide by 2 to get y + 5 = 9, then subtract 5 to get y = 4.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Divide by 2 to get y + 5 = 9, then subtract 5 to get y = 4.

5. QuestionMultiple choice

A gym charges a 12-dollar registration fee plus 7 dollars per class. Which expression represents the cost of c classes?

Please select an answer first.

Correct answer: A

The correct answer is 12 + 7c.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: The fixed registration fee is 12 and the class charge is 7c, so the total is 12 + 7c.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The fixed registration fee is 12 and the class charge is 7c, so the total is 12 + 7c.

6. QuestionMultiple choice

Which inequality represents numbers that are at most -2?

Please select an answer first.

Correct answer: B

The correct answer is x ≤ -2.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: “At most” includes -2 and values less than -2, so the symbol is less than or equal to.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

“At most” includes -2 and values less than -2, so the symbol is less than or equal to.

7. QuestionMultiple choice

What is the solution to 5 − 2x = 17?

Please select an answer first.

Correct answer: C

The correct answer is x = -6.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Subtract 5 to get -2x = 12, then divide by -2 to get x = -6.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Subtract 5 to get -2x = 12, then divide by -2 to get x = -6.

8. QuestionMultiple choice

A line has a slope of 3 and passes through the point (0, -4). Which equation represents it?

Please select an answer first.

Correct answer: D

The correct answer is y = 3x − 4.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: The slope is 3 and the y-intercept is -4, giving y = 3x − 4.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The slope is 3 and the y-intercept is -4, giving y = 3x − 4.

9. QuestionMultiple choice

Which value makes the inequality 4m + 1 > 17 true?

Please select an answer first.

Correct answer: A

The correct answer is 5.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: For m = 5, 4(5) + 1 = 21, which is greater than 17.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

For m = 5, 4(5) + 1 = 21, which is greater than 17.

10. QuestionMultiple choice

A sequence begins 6, 10, 14, 18. Which expression gives the nth term?

Please select an answer first.

Correct answer: B

The correct answer is 4n + 2.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: The sequence increases by 4; 4(1) + 2 = 6, so the rule is 4n + 2.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The sequence increases by 4; 4(1) + 2 = 6, so the rule is 4n + 2.

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Frequently asked questions about California Grade 7 CAASPP Math Practice Test

Which Math skills are covered?

The page covers proportional relationships, rational numbers, algebra, equations, inequalities, geometry, statistics, probability, and modeling for Grade 7.

How many questions are included?

There are five practice sets with 10 questions each, for 50 questions in total. Each set can be completed separately.

Are these official CAASPP questions?

No. These are original supplemental practice questions. Check the latest California Department of Education information for official materials, standards, accommodations, and policies.