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.

4. 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

Which expression means "5 more than 3 times xx"?

Please select an answer first.

Correct answer: A

The correct answer is 3x+53x+5.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Three times xx is 3x3x, and 5 more means add 5: 3x+53x+5.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Three times xx is 3x3x, and 5 more means add 5: 3x+53x+5.

2. QuestionMultiple choice

Which expression means "7 less than twice nn"?

Please select an answer first.

Correct answer: B

The correct answer is 2n−72n-7.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Twice nn is 2n2n, and 7 less means subtract 7.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Twice nn is 2n2n, and 7 less means subtract 7.

3. QuestionMultiple choice

Four notebooks cost nn dollars each, plus a $6 fee. Which expression gives the total cost?

Please select an answer first.

Correct answer: C

The correct answer is 4n+64n+6.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: The notebook cost is 4n4n. Add the fixed fee: 4n+64n+6.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

The notebook cost is 4n4n. Add the fixed fee: 4n+64n+6.

4. QuestionMultiple choice

A square has side length ss. Which expression gives its perimeter?

Please select an answer first.

Correct answer: D

The correct answer is 4s4s.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: A square has four equal sides, so its perimeter is s+s+s+s=4ss+s+s+s=4s.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

A square has four equal sides, so its perimeter is s+s+s+s=4ss+s+s+s=4s.

5. QuestionMultiple choice

Which expression means "three less than twice yy"?

Please select an answer first.

Correct answer: A

The correct answer is 2y−32y-3.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Twice yy is 2y2y, and three less means subtract 3.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Twice yy is 2y2y, and three less means subtract 3.

6. QuestionMultiple choice

A person has xx dollars and spends $15. Which expression gives the amount remaining?

Please select an answer first.

Correct answer: B

The correct answer is x−15x-15.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Subtract the amount spent from the starting amount: x−15x-15.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Subtract the amount spent from the starting amount: x−15x-15.

7. QuestionMultiple choice

Which expression means "the product of 7 and zz, increased by 2"?

Please select an answer first.

Correct answer: C

The correct answer is 7z+27z+2.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: The product is 7z7z, and increased by 2 means add 2.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

The product is 7z7z, and increased by 2 means add 2.

8. QuestionMultiple choice

A rectangle has length ll and width 5. Which expression gives its area?

Please select an answer first.

Correct answer: D

The correct answer is 5l5l.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Area is length times width: l⋅5=5ll\cdot5=5l.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Area is length times width: l⋅5=5ll\cdot5=5l.

9. QuestionMultiple choice

Which expression means "half of pp plus 9"?

Please select an answer first.

Correct answer: A

The correct answer is p2+9\frac{p}{2}+9.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Half of pp is p2\frac{p}{2}, then add 9.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Half of pp is p2\frac{p}{2}, then add 9.

10. QuestionMultiple choice

Which expression means "four times kk, then subtract 11"?

Please select an answer first.

Correct answer: B

The correct answer is 4k−114k-11.

  1. Read the expression or equation: Identify the operations, variables, coefficients, and constants shown in the problem.
  2. Apply the algebraic rule: Four times kk is 4k4k, then subtract 11.
  3. Check the result: Substitute values or simplify again to confirm that the expression or equation is equivalent.

Four times kk is 4k4k, then subtract 11.

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.