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Delaware State Assessments · DeSSA · Math · Grade 7

Delaware Grade 7 DeSSA Math Practice Test

Build Grade 7 Delaware DeSSA Math readiness with five focused 10-question practice sets covering rational numbers, ratios, percent, expressions, equations, geometry, statistics, probability, and problem solving.

Grade 7 DeSSA Math practice sets

This Delaware Grade 7 DeSSA Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets cover rational numbers, ratios, rates, percent, expressions, equations, geometry, statistics, probability, and problem solving.

Skills covered

  • Rational number operations, negative decimals, fraction division, unit rates, temperature, absolute value, and estimation
  • Ratios, percent change, probability, map scales, equivalent ratios, discounts, proportional reasoning, and rates
  • Expressions, substitution, two-step equations, distribution, exponents, tables, rate of change, and writing equations
  • Circle area, triangle angles, prism volume, mean, interquartile range, supplementary angles, reflections, probability, scale drawings, and range
  • Grade 7 review problems combining rates, fractions, percent, area, integers, equations, statistics, decimals, maps, and volume

How to use this page

Complete one 10-question set at a time. Show equations, label units, simplify fractions, and review the explanation after each response.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. It does not replace current Delaware Department of Education guidance, official DeSSA materials, accommodations, or testing policies.

For the Delaware assessment hub, visit Delaware State Assessments.

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Delaware Grade 7 DeSSA Math Practice Questions

A 10-question Delaware Grade 7 DeSSA Math practice set on expressions and equations, with answers and explanations.

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

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

Which expression represents “twice the sum of x and 5”?

Please select an answer first.

Correct answer: A

The correct answer is 2(x + 5).

  1. Read the problem: Identify the quantities, operation, relationship, expression, or geometric information in the problem.
  2. Show the strategy: The sum x plus 5 must be multiplied by 2, giving 2(x + 5).
  3. Check the result: Make sure the answer matches the units and the context of the Delaware Grade 7 DeSSA Math task.

The sum x plus 5 must be multiplied by 2, giving 2(x + 5).

2. QuestionMultiple choice

If a = -3, what is a squared + 4?

Please select an answer first.

Correct answer: B

The correct answer is 13.

  1. Read the problem: Identify the quantities, operation, relationship, expression, or geometric information in the problem.
  2. Show the strategy: A squared is 9, and 9 plus 4 equals 13.
  3. Check the result: Make sure the answer matches the units and the context of the Delaware Grade 7 DeSSA Math task.

A squared is 9, and 9 plus 4 equals 13.

3. QuestionMultiple choice

Solve: 4x - 7 = 21.

Please select an answer first.

Correct answer: C

The correct answer is x = 7.

  1. Read the problem: Identify the quantities, operation, relationship, expression, or geometric information in the problem.
  2. Show the strategy: Add 7 to get 4x = 28, then divide by 4 to get x = 7.
  3. Check the result: Make sure the answer matches the units and the context of the Delaware Grade 7 DeSSA Math task.

Add 7 to get 4x = 28, then divide by 4 to get x = 7.

4. QuestionMultiple choice

Solve: y/3 + 2 = 8.

Please select an answer first.

Correct answer: D

The correct answer is y = 18.

  1. Read the problem: Identify the quantities, operation, relationship, expression, or geometric information in the problem.
  2. Show the strategy: Subtract 2 to get y/3 = 6, then multiply by 3 to get y = 18.
  3. Check the result: Make sure the answer matches the units and the context of the Delaware Grade 7 DeSSA Math task.

Subtract 2 to get y/3 = 6, then multiply by 3 to get y = 18.

5. QuestionMultiple choice

Which expression is equivalent to 5(2n - 3)?

Please select an answer first.

Correct answer: A

The correct answer is 10n - 15.

  1. Read the problem: Identify the quantities, operation, relationship, expression, or geometric information in the problem.
  2. Show the strategy: Distributing 5 gives 10n minus 15.
  3. Check the result: Make sure the answer matches the units and the context of the Delaware Grade 7 DeSSA Math task.

Distributing 5 gives 10n minus 15.

6. QuestionMultiple choice

What is the value of 18 - 3 squared?

Please select an answer first.

Correct answer: B

The correct answer is 9.

  1. Read the problem: Identify the quantities, operation, relationship, expression, or geometric information in the problem.
  2. Show the strategy: Evaluate the exponent first: 3 squared is 9, and 18 minus 9 is 9.
  3. Check the result: Make sure the answer matches the units and the context of the Delaware Grade 7 DeSSA Math task.

Evaluate the exponent first: 3 squared is 9, and 18 minus 9 is 9.

7. QuestionMultiple choice

Which equation represents a number increased by 9 equals 23?

Please select an answer first.

Correct answer: C

The correct answer is n + 9 = 23.

  1. Read the problem: Identify the quantities, operation, relationship, expression, or geometric information in the problem.
  2. Show the strategy: Increased by 9 means add 9 to the number.
  3. Check the result: Make sure the answer matches the units and the context of the Delaware Grade 7 DeSSA Math task.

Increased by 9 means add 9 to the number.

8. QuestionMultiple choice

A line passes through (0, 3) and (2, 7). What is its rate of change?

Please select an answer first.

Correct answer: D

The correct answer is 2.

  1. Read the problem: Identify the quantities, operation, relationship, expression, or geometric information in the problem.
  2. Show the strategy: The change in y is 4 and the change in x is 2, so the rate is 2.
  3. Check the result: Make sure the answer matches the units and the context of the Delaware Grade 7 DeSSA Math task.

The change in y is 4 and the change in x is 2, so the rate is 2.

9. QuestionMultiple choice

Which table follows the rule y = 4x - 1?

Please select an answer first.

Correct answer: A

The correct answer is x: 1,2,3; y: 3,7,11.

  1. Read the problem: Identify the quantities, operation, relationship, expression, or geometric information in the problem.
  2. Show the strategy: Substitution gives 3, 7, and 11 for x values 1, 2, and 3.
  3. Check the result: Make sure the answer matches the units and the context of the Delaware Grade 7 DeSSA Math task.

Substitution gives 3, 7, and 11 for x values 1, 2, and 3.

10. QuestionMultiple choice

The perimeter of a rectangle is 34 units. Its length is 10 units. What is the width?

Please select an answer first.

Correct answer: B

The correct answer is 7 units.

  1. Read the problem: Identify the quantities, operation, relationship, expression, or geometric information in the problem.
  2. Show the strategy: 2(10 + w) = 34, so 10 + w = 17 and w = 7.
  3. Check the result: Make sure the answer matches the units and the context of the Delaware Grade 7 DeSSA Math task.

2(10 + w) = 34, so 10 + w = 17 and w = 7.

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Frequently asked questions about Delaware Grade 7 DeSSA Math Practice

Which grade is covered?

This page is organized for Grade 7 Delaware DeSSA Math practice, with rational numbers, ratios, percent, expressions, equations, geometry, statistics, probability, and problem-solving tasks.

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 DeSSA questions?

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