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.

2. 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

Combine like terms: 3x+5x3x+5x.

Please select an answer first.

Correct answer: A

The correct answer is 8x8x.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Add the coefficients of the like terms: 3x+5x=(3+5)x=8x3x+5x=(3+5)x=8x.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Add the coefficients of the like terms: 3x+5x=(3+5)x=8x3x+5x=(3+5)x=8x.

2. QuestionMultiple choice

Simplify 7a−2a+47a-2a+4.

Please select an answer first.

Correct answer: B

The correct answer is 5a+45a+4.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Combine the variable terms: 7a−2a=5a7a-2a=5a. The constant 4 remains, giving 5a+45a+4.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Combine the variable terms: 7a−2a=5a7a-2a=5a. The constant 4 remains, giving 5a+45a+4.

3. QuestionMultiple choice

Simplify 6y+3−2y6y+3-2y.

Please select an answer first.

Correct answer: C

The correct answer is 4y+34y+3.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Combine 6y−2y=4y6y-2y=4y and keep the constant 3: 4y+34y+3.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Combine 6y−2y=4y6y-2y=4y and keep the constant 3: 4y+34y+3.

4. QuestionMultiple choice

Simplify 9m−4+2m+79m-4+2m+7.

Please select an answer first.

Correct answer: D

The correct answer is 11m+311m+3.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Combine variables and constants: 9m+2m=11m9m+2m=11m and −4+7=3-4+7=3.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Combine variables and constants: 9m+2m=11m9m+2m=11m and −4+7=3-4+7=3.

5. QuestionMultiple choice

Simplify 2p+6−5p2p+6-5p.

Please select an answer first.

Correct answer: A

The correct answer is −3p+6-3p+6.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Combine the variable terms: 2p−5p=−3p2p-5p=-3p. The constant 6 remains.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Combine the variable terms: 2p−5p=−3p2p-5p=-3p. The constant 6 remains.

6. QuestionMultiple choice

Simplify 4n+3n−24n+3n-2.

Please select an answer first.

Correct answer: B

The correct answer is 7n−27n-2.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Add the coefficients: 4n+3n=7n4n+3n=7n, then keep the constant -2.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Add the coefficients: 4n+3n=7n4n+3n=7n, then keep the constant -2.

7. QuestionMultiple choice

Simplify 8r−3+2r+58r-3+2r+5.

Please select an answer first.

Correct answer: C

The correct answer is 10r+210r+2.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Combine 8r+2r=10r8r+2r=10r and −3+5=2-3+5=2.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Combine 8r+2r=10r8r+2r=10r and −3+5=2-3+5=2.

8. QuestionMultiple choice

Simplify 5q−2q+95q-2q+9.

Please select an answer first.

Correct answer: D

The correct answer is 3q+93q+9.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Subtract the coefficients: 5q−2q=3q5q-2q=3q. The constant 9 remains.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Subtract the coefficients: 5q−2q=3q5q-2q=3q. The constant 9 remains.

9. QuestionMultiple choice

Combine like terms: 11b−6b11b-6b.

Please select an answer first.

Correct answer: A

The correct answer is 5b5b.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Subtract the coefficients: 11b−6b=(11−6)b=5b11b-6b=(11-6)b=5b.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Subtract the coefficients: 11b−6b=(11−6)b=5b11b-6b=(11-6)b=5b.

10. QuestionMultiple choice

Simplify 4t+2−7t+54t+2-7t+5.

Please select an answer first.

Correct answer: B

The correct answer is −3t+7-3t+7.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Combine variables: 4t−7t=−3t4t-7t=-3t, and constants: 2+5=72+5=7.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Combine variables: 4t−7t=−3t4t-7t=-3t, and constants: 2+5=72+5=7.

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.