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Grade 6 Math · Numerical Expressions

Grade 6 Numerical Expressions Practice Test

Build Grade 6 Math skills with five 10-question practice tests on order of operations, parentheses, exponents, equivalent expressions, variables, and evaluation.

Numerical Expressions Practice Tests

These Grade 6 Math practice tests help students read, write, simplify, and evaluate numerical and algebraic expressions. Students practice the order of operations, grouping symbols, exponents, variable substitution, equivalent expressions, distributive property, decimal and fraction values, and mathematical language.

Skills covered

  • Applying the order of operations
  • Using parentheses and other grouping symbols
  • Evaluating exponents and mixed numerical expressions
  • Translating words into algebraic expressions
  • Substituting values for variables
  • Using the distributive property and combining equivalent forms
  • Estimating and checking the reasonableness of an expression value

How to use these practice tests

Read the expression from left to right, but follow the order of operations rather than calculating every operation in reading order. Complete grouping symbols, exponents, multiplication or division, and addition or subtraction. When a variable appears, substitute the given value carefully and use parentheses when needed.

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

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Grade 6 Numerical Expressions Practice Tests

A 10-question Grade 6 Math practice test on order of operations, parentheses, exponents, equivalent expressions, variables, and evaluation.

Read grouping symbols first, apply the order of operations, substitute values carefully, and check each result.

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. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: More than means addition, so 5 more than n is n+5n + 5.
  3. Check the value: Substitute carefully and compare the result with the original expression.

More than means addition, so 5 more than n is n+5n + 5.

2. QuestionMultiple choice

Which expression means twice xx?

Please select an answer first.

Correct answer: B

The correct answer is 2x2x.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Twice a number means multiply it by 2: 2×x=2x2 \times x = 2x.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Twice a number means multiply it by 2: 2×x=2x2 \times x = 2x.

3. QuestionMultiple choice

Which expression means 7 less than yy?

Please select an answer first.

Correct answer: C

The correct answer is y−7y - 7.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Seven less than y means subtract 7 from y: y−7y - 7.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Seven less than y means subtract 7 from y: y−7y - 7.

4. QuestionMultiple choice

Which expression represents the product of 4 and mm, then adds 3?

Please select an answer first.

Correct answer: D

The correct answer is 4m+34m + 3.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: The product is 4m4m, and then 3 is added, giving 4m+34m + 3.
  3. Check the value: Substitute carefully and compare the result with the original expression.

The product is 4m4m, and then 3 is added, giving 4m+34m + 3.

5. QuestionMultiple choice

Which expression is equivalent to 3(a+2)3(a + 2)?

Please select an answer first.

Correct answer: A

The correct answer is 3a+63a + 6.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Use the distributive property: 3(a+2)=3a+63(a + 2) = 3a + 6.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Use the distributive property: 3(a+2)=3a+63(a + 2) = 3a + 6.

6. QuestionMultiple choice

Which expression is equivalent to 2x+42x + 4?

Please select an answer first.

Correct answer: B

The correct answer is 2(x+2)2(x + 2).

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Factor out 2: 2x+4=2(x+2)2x + 4 = 2(x + 2).
  3. Check the value: Substitute carefully and compare the result with the original expression.

Factor out 2: 2x+4=2(x+2)2x + 4 = 2(x + 2).

7. QuestionMultiple choice

What is the value of 2n+12n + 1 when n=6n = 6?

Please select an answer first.

Correct answer: C

The correct answer is 1313.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Substitute 6: 2(6)+1=12+1=132(6) + 1 = 12 + 1 = 13.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Substitute 6: 2(6)+1=12+1=132(6) + 1 = 12 + 1 = 13.

8. QuestionMultiple choice

What is the value of p÷3−2p \div 3 - 2 when p=15p = 15?

Please select an answer first.

Correct answer: D

The correct answer is 33.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Substitute and divide first: 15÷3−2=5−2=315 \div 3 - 2 = 5 - 2 = 3.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Substitute and divide first: 15÷3−2=5−2=315 \div 3 - 2 = 5 - 2 = 3.

9. QuestionMultiple choice

Which expression represents 4 groups of (x+2)(x + 2)?

Please select an answer first.

Correct answer: A

The correct answer is 4(x+2)4(x + 2).

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Four groups of the entire quantity (x+2)(x + 2) are written as 4(x+2)4(x + 2).
  3. Check the value: Substitute carefully and compare the result with the original expression.

Four groups of the entire quantity (x+2)(x + 2) are written as 4(x+2)4(x + 2).

10. QuestionMultiple choice

Which expression is equivalent to 5+3x5 + 3x?

Please select an answer first.

Correct answer: B

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

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Addition is commutative, so the terms can be reordered: 5+3x=3x+55 + 3x = 3x + 5.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Addition is commutative, so the terms can be reordered: 5+3x=3x+55 + 3x = 3x + 5.

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Frequently asked questions about Grade 6 Numerical Expressions

What topics are covered?

The page covers order of operations, grouping symbols, exponents, numerical and algebraic expressions, variable substitution, equivalent expressions, and estimation.

Why are parentheses important?

Parentheses show which operations belong together and can change the value of an expression by changing the order of calculation.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 6 Numerical Expressions questions in total.