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Grade 6 Math · Variables and Algebraic Expressions

Grade 6 Variables and Algebraic Expressions Practice Test

Build Grade 6 Math skills with five 10-question practice tests on variables, coefficients, constants, terms, expressions, substitution, simplification, and equations.

Variables and Algebraic Expressions Practice Tests

These Grade 6 Math practice tests help students read, write, simplify, and evaluate algebraic expressions. Students practice variables, coefficients, constants, terms, translating words into expressions, equivalent forms, distributive property, substitution, and one-step equations.

Skills covered

  • Identifying variables, coefficients, constants, and terms
  • Translating verbal phrases into algebraic expressions
  • Combining like terms and using the distributive property
  • Finding equivalent algebraic expressions
  • Substituting values into expressions
  • Solving and checking simple equations
  • Interpreting algebraic relationships in mathematical language

How to use these practice tests

Read the wording carefully and identify which quantity is the variable. Translate operations in the correct order, combine only like terms, distribute multiplication across every term inside parentheses, and substitute values with parentheses when needed. Check an equation by placing the solution back into both sides.

For more Grade 6 Math practice, return to the Grade 6 Math category.

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Grade 6 Variables and Algebraic Expressions Practice Tests

A 10-question Grade 6 Math practice test on variables, coefficients, constants, terms, algebraic expressions, equivalent forms, substitution, and equations.

Identify each algebraic part, translate phrases carefully, combine like terms, substitute values, and check equations.

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

Simplify 3x+2x3x + 2x.

Please select an answer first.

Correct answer: A

The correct answer is 5x5x.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Combine the coefficients of like terms: 3x+2x=5x3x + 2x = 5x.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Combine the coefficients of like terms: 3x+2x=5x3x + 2x = 5x.

2. QuestionMultiple choice

Simplify 7a−3a7a - 3a.

Please select an answer first.

Correct answer: B

The correct answer is 4a4a.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Subtract the coefficients of like terms: 7a−3a=4a7a - 3a = 4a.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Subtract the coefficients of like terms: 7a−3a=4a7a - 3a = 4a.

3. QuestionMultiple choice

Which expression is equivalent to 2(y+4)2(y + 4)?

Please select an answer first.

Correct answer: C

The correct answer is 2y+82y + 8.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Use the distributive property: 2(y+4)=2y+82(y + 4) = 2y + 8.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Use the distributive property: 2(y+4)=2y+82(y + 4) = 2y + 8.

4. QuestionMultiple choice

Simplify 5m+3−2m+15m + 3 - 2m + 1.

Please select an answer first.

Correct answer: D

The correct answer is 3m+43m + 4.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Combine like terms: 5m−2m=3m5m - 2m = 3m and 3+1=43 + 1 = 4.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Combine like terms: 5m−2m=3m5m - 2m = 3m and 3+1=43 + 1 = 4.

5. QuestionMultiple choice

Simplify x+x+2x + x + 2.

Please select an answer first.

Correct answer: A

The correct answer is 2x+22x + 2.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: The two x terms combine to 2x2x, leaving the constant 2.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

The two x terms combine to 2x2x, leaving the constant 2.

6. QuestionMultiple choice

Simplify 4p−2+3p+54p - 2 + 3p + 5.

Please select an answer first.

Correct answer: B

The correct answer is 7p+37p + 3.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Combine variable terms and constants: 4p+3p=7p4p + 3p = 7p and −2+5=3-2 + 5 = 3.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Combine variable terms and constants: 4p+3p=7p4p + 3p = 7p and −2+5=3-2 + 5 = 3.

7. QuestionMultiple choice

Which expression is equivalent to 3(2n−1)3(2n - 1)?

Please select an answer first.

Correct answer: C

The correct answer is 6n−36n - 3.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Distribute 3: 3(2n−1)=6n−33(2n - 1) = 6n - 3.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Distribute 3: 3(2n−1)=6n−33(2n - 1) = 6n - 3.

8. QuestionMultiple choice

Simplify 8q÷48q \div 4.

Please select an answer first.

Correct answer: D

The correct answer is 2q2q.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Divide the coefficient by 4: 8q÷4=2q8q \div 4 = 2q.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Divide the coefficient by 4: 8q÷4=2q8q \div 4 = 2q.

9. QuestionMultiple choice

Simplify 2a+3b+a2a + 3b + a.

Please select an answer first.

Correct answer: A

The correct answer is 3a+3b3a + 3b.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Combine the two a terms, while the b term remains: 2a+a=3a2a + a = 3a.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Combine the two a terms, while the b term remains: 2a+a=3a2a + a = 3a.

10. QuestionMultiple choice

Simplify 6r−2(r+1)6r - 2(r + 1).

Please select an answer first.

Correct answer: B

The correct answer is 4r−24r - 2.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Distribute negative 2: 6r−2r−2=4r−26r - 2r - 2 = 4r - 2.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Distribute negative 2: 6r−2r−2=4r−26r - 2r - 2 = 4r - 2.

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Frequently asked questions about Grade 6 Variables and Algebraic Expressions

What topics are covered?

The page covers variables, coefficients, constants, terms, verbal expressions, equivalent expressions, like terms, substitution, the distributive property, and simple 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 6 Variables and Algebraic Expressions questions in total.