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.

5. 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

Solve x+7=19x+7=19.

Please select an answer first.

Correct answer: A

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: Subtract 7 from both sides: x=19−7=12x=19-7=12.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Subtract 7 from both sides: x=19−7=12x=19-7=12.

2. QuestionMultiple choice

Solve y−5=13y-5=13.

Please select an answer first.

Correct answer: B

The correct answer is 1818.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Add 5 to both sides: y=13+5=18y=13+5=18.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Add 5 to both sides: y=13+5=18y=13+5=18.

3. QuestionMultiple choice

Solve 4m=284m=28.

Please select an answer first.

Correct answer: C

The correct answer is 77.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Divide both sides by 4: m=28÷4=7m=28\div4=7.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Divide both sides by 4: m=28÷4=7m=28\div4=7.

4. QuestionMultiple choice

Solve n3=9\frac{n}{3}=9.

Please select an answer first.

Correct answer: D

The correct answer is 2727.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Multiply both sides by 3: n=9⋅3=27n=9\cdot3=27.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Multiply both sides by 3: n=9⋅3=27n=9\cdot3=27.

5. QuestionMultiple choice

Solve 2p+3=152p+3=15.

Please select an answer first.

Correct answer: A

The correct answer is 66.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Subtract 3: 2p=122p=12. Divide by 2: p=6p=6.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Subtract 3: 2p=122p=12. Divide by 2: p=6p=6.

6. QuestionMultiple choice

Solve 5q−4=215q-4=21.

Please select an answer first.

Correct answer: B

The correct answer is 55.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Add 4: 5q=255q=25. Divide by 5: q=5q=5.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Add 4: 5q=255q=25. Divide by 5: q=5q=5.

7. QuestionMultiple choice

Solve r4+2=5\frac{r}{4}+2=5.

Please select an answer first.

Correct answer: C

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: Subtract 2: r4=3\frac{r}{4}=3. Multiply by 4: r=12r=12.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Subtract 2: r4=3\frac{r}{4}=3. Multiply by 4: r=12r=12.

8. QuestionMultiple choice

Solve 3s+6=243s+6=24.

Please select an answer first.

Correct answer: D

The correct answer is 66.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Subtract 6: 3s=183s=18. Divide by 3: s=6s=6.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Subtract 6: 3s=183s=18. Divide by 3: s=6s=6.

9. QuestionMultiple choice

Solve 7t−2=337t-2=33.

Please select an answer first.

Correct answer: A

The correct answer is 55.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Add 2: 7t=357t=35. Divide by 7: t=5t=5.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Add 2: 7t=357t=35. Divide by 7: t=5t=5.

10. QuestionMultiple choice

Solve u5−1=3\frac{u}{5}-1=3.

Please select an answer first.

Correct answer: B

The correct answer is 2020.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Add 1: u5=4\frac{u}{5}=4. Multiply by 5: u=20u=20.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Add 1: u5=4\frac{u}{5}=4. Multiply by 5: u=20u=20.

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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.