Grade 7 Math · Expressions and Equations

Grade 7 Expressions and Equations Practice Test

Build Grade 7 Math skills with five 10-question practice tests on order of operations, simplifying expressions, the distributive property, verbal expressions, and basic equations.

Expressions and Equations Practice Tests

These Grade 7 Math practice tests help students evaluate, simplify, translate, and solve algebraic expressions and equations. Students work with order of operations, like terms, the distributive property, verbal phrases, and inverse operations.

Skills covered

  • Applying order of operations to numerical expressions
  • Combining like terms and simplifying algebraic expressions
  • Using the distributive property
  • Translating verbal phrases into algebraic expressions
  • Solving basic one-step and two-step equations
  • Checking solutions by substitution

How to use these practice tests

Evaluate powers and grouped expressions before multiplication, division, addition, and subtraction. Combine only like terms, distribute a factor to every term inside parentheses, and use inverse operations to isolate the variable when solving equations.

For more Grade 7 Math practice, return to the Grade 7 Math category.

3. Test

Grade 7 Expressions and Equations Practice Tests

A 10-question Grade 7 Math practice test on order of operations, simplifying expressions, the distributive property, translating phrases, and basic equations.

Follow the order of operations, combine like terms, use the distributive property, translate verbal phrases, and perform inverse operations to solve equations.

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

Use the distributive property to simplify 3(x+4)3(x+4).

Please select an answer first.

Correct answer: A

The correct answer is 3x+123x+12.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Multiply 3 by each term: 3⋅x+3⋅4=3x+123\cdot x+3\cdot4=3x+12.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Multiply 3 by each term: 3⋅x+3⋅4=3x+123\cdot x+3\cdot4=3x+12.

2. QuestionMultiple choice

Use the distributive property to simplify 5(2y−3)5(2y-3).

Please select an answer first.

Correct answer: B

The correct answer is 10y−1510y-15.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Multiply 5 by both terms: 5⋅2y−5⋅3=10y−155\cdot2y-5\cdot3=10y-15.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Multiply 5 by both terms: 5⋅2y−5⋅3=10y−155\cdot2y-5\cdot3=10y-15.

3. QuestionMultiple choice

Use the distributive property to simplify −2(a+6)-2(a+6).

Please select an answer first.

Correct answer: C

The correct answer is −2a−12-2a-12.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Multiply -2 by each term: −2⋅a+(−2)⋅6=−2a−12-2\cdot a+(-2)\cdot6=-2a-12.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Multiply -2 by each term: −2⋅a+(−2)⋅6=−2a−12-2\cdot a+(-2)\cdot6=-2a-12.

4. QuestionMultiple choice

Simplify 4(3m+2)−m4(3m+2)-m.

Please select an answer first.

Correct answer: D

The correct answer is 11m+811m+8.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Distribute first: 4(3m+2)=12m+84(3m+2)=12m+8. Then combine 12m−m=11m12m-m=11m.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Distribute first: 4(3m+2)=12m+84(3m+2)=12m+8. Then combine 12m−m=11m12m-m=11m.

5. QuestionMultiple choice

Simplify 6(p−5)+2p6(p-5)+2p.

Please select an answer first.

Correct answer: A

The correct answer is 8p−308p-30.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Distribute: 6p−30+2p6p-30+2p. Combine like terms to get 8p−308p-30.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Distribute: 6p−30+2p6p-30+2p. Combine like terms to get 8p−308p-30.

6. QuestionMultiple choice

Simplify 7(2n+1)−3n7(2n+1)-3n.

Please select an answer first.

Correct answer: B

The correct answer is 11n+711n+7.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Distribute: 14n+7−3n14n+7-3n. Combine to get 11n+711n+7.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Distribute: 14n+7−3n14n+7-3n. Combine to get 11n+711n+7.

7. QuestionMultiple choice

Simplify 9−2(r+3)9-2(r+3).

Please select an answer first.

Correct answer: C

The correct answer is 3−2r3-2r.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Distribute -2: 9−2r−69-2r-6. Combine constants: 3−2r3-2r.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Distribute -2: 9−2r−69-2r-6. Combine constants: 3−2r3-2r.

8. QuestionMultiple choice

Simplify 3(4q−1)+2q3(4q-1)+2q.

Please select an answer first.

Correct answer: D

The correct answer is 14q−314q-3.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Distribute: 12q−3+2q12q-3+2q. Combine like terms to get 14q−314q-3.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Distribute: 12q−3+2q12q-3+2q. Combine like terms to get 14q−314q-3.

9. QuestionMultiple choice

Simplify 2(5b+4)−3b2(5b+4)-3b.

Please select an answer first.

Correct answer: A

The correct answer is 7b+87b+8.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Distribute: 10b+8−3b10b+8-3b. Combine the variable terms to get 7b+87b+8.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Distribute: 10b+8−3b10b+8-3b. Combine the variable terms to get 7b+87b+8.

10. QuestionMultiple choice

Simplify 8(t−2)+t8(t-2)+t.

Please select an answer first.

Correct answer: B

The correct answer is 9t−169t-16.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Distribute: 8t−16+t8t-16+t. Combine 8t+t=9t8t+t=9t.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Distribute: 8t−16+t8t-16+t. Combine 8t+t=9t8t+t=9t.

Frequently asked questions about Grade 7 Expressions and Equations

What topics are covered?

The page covers order of operations, combining like terms, the distributive property, translating verbal phrases, and solving basic equations.

What are like terms?

Like terms have the same variable parts with the same exponents, so their coefficients can be combined.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Expressions and Equations questions in total.