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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

What is the value of 3x+23x + 2 when x=4x = 4?

Please select an answer first.

Correct answer: A

The correct answer is 1414.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Substitute 4: 3(4)+2=12+2=143(4) + 2 = 12 + 2 = 14.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Substitute 4: 3(4)+2=12+2=143(4) + 2 = 12 + 2 = 14.

2. QuestionMultiple choice

What is the value of 5a−15a - 1 when a=3a = 3?

Please select an answer first.

Correct answer: B

The correct answer is 1414.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: 5(3)−1=15−1=145(3) - 1 = 15 - 1 = 14.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

5(3)−1=15−1=145(3) - 1 = 15 - 1 = 14.

3. QuestionMultiple choice

What is the value of 2(y+5)2(y + 5) when y=2y = 2?

Please select an answer first.

Correct answer: C

The correct answer is 1414.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: 2(2+5)=2×7=142(2 + 5) = 2 \times 7 = 14.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

2(2+5)=2×7=142(2 + 5) = 2 \times 7 = 14.

4. QuestionMultiple choice

What is the value of 4m+3n4m + 3n when m=2m = 2 and n=1n = 1?

Please select an answer first.

Correct answer: D

The correct answer is 1111.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: 4(2)+3(1)=8+3=114(2) + 3(1) = 8 + 3 = 11.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

4(2)+3(1)=8+3=114(2) + 3(1) = 8 + 3 = 11.

5. QuestionMultiple choice

What is the value of p÷2+6p \div 2 + 6 when p=8p = 8?

Please select an answer first.

Correct answer: A

The correct answer is 1010.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: 8÷2+6=4+6=108 \div 2 + 6 = 4 + 6 = 10.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

8÷2+6=4+6=108 \div 2 + 6 = 4 + 6 = 10.

6. QuestionMultiple choice

What is the value of 7−2q7 - 2q when q=2q = 2?

Please select an answer first.

Correct answer: B

The correct answer is 33.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: 7−2(2)=7−4=37 - 2(2) = 7 - 4 = 3.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

7−2(2)=7−4=37 - 2(2) = 7 - 4 = 3.

7. QuestionMultiple choice

What is the value of 3a23a^2 when a=2a = 2?

Please select an answer first.

Correct answer: C

The correct answer is 1212.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Evaluate the exponent first: 22=42^2 = 4, then 3×4=123 \times 4 = 12.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Evaluate the exponent first: 22=42^2 = 4, then 3×4=123 \times 4 = 12.

8. QuestionMultiple choice

What is the value of (x+4)÷2(x + 4) \div 2 when x=6x = 6?

Please select an answer first.

Correct answer: D

The correct answer is 55.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: (6+4)÷2=10÷2=5(6 + 4) \div 2 = 10 \div 2 = 5.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

(6+4)÷2=10÷2=5(6 + 4) \div 2 = 10 \div 2 = 5.

9. QuestionMultiple choice

What is the value of 2b+3c2b + 3c when b=1b = 1 and c=4c = 4?

Please select an answer first.

Correct answer: A

The correct answer is 1414.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: 2(1)+3(4)=2+12=142(1) + 3(4) = 2 + 12 = 14.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

2(1)+3(4)=2+12=142(1) + 3(4) = 2 + 12 = 14.

10. QuestionMultiple choice

What is the value of 10−z÷510 - z \div 5 when z=15z = 15?

Please select an answer first.

Correct answer: B

The correct answer is 77.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Divide first: 15÷5=315 \div 5 = 3, then 10−3=710 - 3 = 7.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Divide first: 15÷5=315 \div 5 = 3, then 10−3=710 - 3 = 7.

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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.