NumicornNumicornLearn, solve, progress

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.

Select a test

5 Tests
1. Test2. Test3. Test4. Test5. Test

2. 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

Which expression means 5 more than nn?

Please select an answer first.

Correct answer: A

The correct answer is n+5n + 5.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: More than indicates addition, so the expression is n+5n + 5.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

More than indicates addition, so the expression is n+5n + 5.

2. QuestionMultiple choice

Which expression means 3 less than yy?

Please select an answer first.

Correct answer: B

The correct answer is y−3y - 3.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Less than the quantity y means subtract 3 from y.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Less than the quantity y means subtract 3 from y.

3. QuestionMultiple choice

Which expression means 4 times pp?

Please select an answer first.

Correct answer: C

The correct answer is 4p4p.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Times indicates multiplication, so four times p is 4p4p.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Times indicates multiplication, so four times p is 4p4p.

4. QuestionMultiple choice

Which expression represents the sum of xx and 8?

Please select an answer first.

Correct answer: D

The correct answer is x+8x + 8.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: The sum of two quantities is found by addition: x+8x + 8.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

The sum of two quantities is found by addition: x+8x + 8.

5. QuestionMultiple choice

Which expression represents the quotient of zz and 6?

Please select an answer first.

Correct answer: A

The correct answer is z÷6z \div 6.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: A quotient is the result of division, so the expression is z÷6z \div 6.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

A quotient is the result of division, so the expression is z÷6z \div 6.

6. QuestionMultiple choice

Which expression means twice nn plus 1?

Please select an answer first.

Correct answer: B

The correct answer is 2n+12n + 1.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Twice n is 2n2n, and then 1 is added.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Twice n is 2n2n, and then 1 is added.

7. QuestionMultiple choice

Which expression means 10 minus 3 times xx?

Please select an answer first.

Correct answer: C

The correct answer is 10−3x10 - 3x.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Multiply x by 3, then subtract that quantity from 10: 10−3x10 - 3x.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Multiply x by 3, then subtract that quantity from 10: 10−3x10 - 3x.

8. QuestionMultiple choice

Which expression represents 5 groups of (a+2)(a + 2)?

Please select an answer first.

Correct answer: D

The correct answer is 5(a+2)5(a + 2).

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: The entire quantity a plus 2 is repeated five times, so use 5(a+2)5(a + 2).
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

The entire quantity a plus 2 is repeated five times, so use 5(a+2)5(a + 2).

9. QuestionMultiple choice

Which expression means the product of 2 and bb, decreased by 7?

Please select an answer first.

Correct answer: A

The correct answer is 2b−72b - 7.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: The product is 2b2b, and decreased by 7 gives 2b−72b - 7.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

The product is 2b2b, and decreased by 7 gives 2b−72b - 7.

10. QuestionMultiple choice

Which expression means half of xx plus 4?

Please select an answer first.

Correct answer: B

The correct answer is x÷2+4x \div 2 + 4.

  1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
  2. Rewrite or evaluate: Half of x is x÷2x \div 2, then 4 is added.
  3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Half of x is x÷2x \div 2, then 4 is added.

Previous testNext test

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.