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.

5. Test

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

Solve x+7=12x + 7 = 12.

Please select an answer first.

Correct answer: A

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: Subtract 7 from both sides: x=12−7=5x = 12 - 7 = 5.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Subtract 7 from both sides: x=12−7=5x = 12 - 7 = 5.

2. QuestionMultiple choice

Solve y−4=9y - 4 = 9.

Please select an answer first.

Correct answer: B

The correct answer is 1313.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Add 4 to both sides: y=9+4=13y = 9 + 4 = 13.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Add 4 to both sides: y=9+4=13y = 9 + 4 = 13.

3. QuestionMultiple choice

Solve 3n=213n = 21.

Please select an answer first.

Correct answer: C

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 both sides by 3: n=21÷3=7n = 21 \div 3 = 7.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Divide both sides by 3: n=21÷3=7n = 21 \div 3 = 7.

4. QuestionMultiple choice

Solve p÷5=6p \div 5 = 6.

Please select an answer first.

Correct answer: D

The correct answer is 3030.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Multiply both sides by 5: p=6×5=30p = 6 \times 5 = 30.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Multiply both sides by 5: p=6×5=30p = 6 \times 5 = 30.

5. QuestionMultiple choice

Solve 2x+3=112x + 3 = 11.

Please select an answer first.

Correct answer: A

The correct answer is 44.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Subtract 3 and divide by 2: 2x=82x = 8, so x=4x = 4.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Subtract 3 and divide by 2: 2x=82x = 8, so x=4x = 4.

6. QuestionMultiple choice

Which inverse operation undoes subtracting 8?

Please select an answer first.

Correct answer: B

The correct answer is Adding 8.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Addition and subtraction are inverse operations, so adding 8 undoes subtracting 8.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Addition and subtraction are inverse operations, so adding 8 undoes subtracting 8.

7. QuestionMultiple choice

Does x=6x = 6 satisfy x+4=10x + 4 = 10?

Please select an answer first.

Correct answer: C

The correct answer is Yes, because 6+4=106 + 4 = 10.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Substitute 6: 6+4=106 + 4 = 10, so the equation is true.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Substitute 6: 6+4=106 + 4 = 10, so the equation is true.

8. QuestionMultiple choice

Which equation represents 3 more than nn is 18?

Please select an answer first.

Correct answer: D

The correct answer is n+3=18n + 3 = 18.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Three more than n is n+3n + 3, and it equals 18.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Three more than n is n+3n + 3, and it equals 18.

9. QuestionMultiple choice

What is a common error when simplifying 3x+2y3x + 2y?

Please select an answer first.

Correct answer: A

The correct answer is Combining unlike terms as if they were like terms..

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: x terms and y terms are unlike, so 3x+2y3x + 2y cannot be combined into a single term.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

x terms and y terms are unlike, so 3x+2y3x + 2y cannot be combined into a single term.

10. QuestionMultiple choice

Which summary best describes Grade 6 Variables and Algebraic Expressions?

Please select an answer first.

Correct answer: B

The correct answer is Variables and expressions use symbols, coefficients, constants, operations, and properties to represent and solve quantity relationships..

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: A complete summary connects algebraic vocabulary, translation, simplification, substitution, and equations.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

A complete summary connects algebraic vocabulary, translation, simplification, substitution, and equations.

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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.