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.

1. 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

Evaluate 3+4⋅23+4\cdot2.

Please select an answer first.

Correct answer: A

The correct answer is 1111.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Multiply first: 4⋅2=84\cdot2=8. Then add 3: 3+8=113+8=11.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Multiply first: 4⋅2=84\cdot2=8. Then add 3: 3+8=113+8=11.

2. QuestionMultiple choice

Evaluate 18−63\frac{18-6}{3}.

Please select an answer first.

Correct answer: B

The correct answer is 44.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Subtract in the numerator first: 18−6=1218-6=12. Then 12÷3=412\div3=4.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Subtract in the numerator first: 18−6=1218-6=12. Then 12÷3=412\div3=4.

3. QuestionMultiple choice

Evaluate 52−95^2-9.

Please select an answer first.

Correct answer: C

The correct answer is 1616.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Evaluate the exponent: 52=255^2=25. Then 25−9=1625-9=16.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Evaluate the exponent: 52=255^2=25. Then 25−9=1625-9=16.

4. QuestionMultiple choice

Evaluate 242+4\frac{24}{2+4}.

Please select an answer first.

Correct answer: D

The correct answer is 44.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Evaluate the denominator first: 2+4=62+4=6. Then 24÷6=424\div6=4.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Evaluate the denominator first: 2+4=62+4=6. Then 24÷6=424\div6=4.

5. QuestionMultiple choice

Evaluate 7+3(5−2)7+3(5-2).

Please select an answer first.

Correct answer: A

The correct answer is 1616.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: First 5−2=35-2=3, then 3⋅3=93\cdot3=9, and finally 7+9=167+9=16.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

First 5−2=35-2=3, then 3⋅3=93\cdot3=9, and finally 7+9=167+9=16.

6. QuestionMultiple choice

Evaluate 23+42^3+4.

Please select an answer first.

Correct answer: B

The correct answer is 1212.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Evaluate the exponent: 23=82^3=8. Then 8+4=128+4=12.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Evaluate the exponent: 23=82^3=8. Then 8+4=128+4=12.

7. QuestionMultiple choice

Evaluate 30−2(6+4)30-2(6+4).

Please select an answer first.

Correct answer: C

The correct answer is 1010.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: First 6+4=106+4=10, then 2⋅10=202\cdot10=20, and finally 30−20=1030-20=10.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

First 6+4=106+4=10, then 2⋅10=202\cdot10=20, and finally 30−20=1030-20=10.

8. QuestionMultiple choice

Evaluate 3(4+22)3(4+2^2).

Please select an answer first.

Correct answer: D

The correct answer is 2424.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Evaluate the exponent and parentheses: 22=42^2=4 and 4+4=84+4=8. Then 3⋅8=243\cdot8=24.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Evaluate the exponent and parentheses: 22=42^2=4 and 4+4=84+4=8. Then 3⋅8=243\cdot8=24.

9. QuestionMultiple choice

Evaluate 486+5\frac{48}{6}+5.

Please select an answer first.

Correct answer: A

The correct answer is 1313.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Divide first: 48÷6=848\div6=8. Then add 5: 8+5=138+5=13.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Divide first: 48÷6=848\div6=8. Then add 5: 8+5=138+5=13.

10. QuestionMultiple choice

Evaluate 20−(32+2)20-(3^2+2).

Please select an answer first.

Correct answer: B

The correct answer is 99.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Evaluate inside the parentheses: 32+2=9+2=113^2+2=9+2=11. Then 20−11=920-11=9.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Evaluate inside the parentheses: 32+2=9+2=113^2+2=9+2=11. Then 20−11=920-11=9.

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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.