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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 operation is completed first in a standard numerical expression?

Please select an answer first.

Correct answer: A

The correct answer is Operations inside grouping symbols.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Grouping symbols such as parentheses are evaluated before exponents and the other operations.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Grouping symbols such as parentheses are evaluated before exponents and the other operations.

2. QuestionMultiple choice

In 8+2×58 + 2 \times 5, which operation comes first?

Please select an answer first.

Correct answer: B

The correct answer is Multiplication.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Multiplication and division are completed before addition and subtraction.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Multiplication and division are completed before addition and subtraction.

3. QuestionMultiple choice

What is a common error when evaluating 8+2×58 + 2 \times 5?

Please select an answer first.

Correct answer: C

The correct answer is Adding 8 and 2 before multiplying by 5..

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: The multiplication must be completed first: 2×5=102 \times 5 = 10, then add 8.
  3. Check the value: Substitute carefully and compare the result with the original expression.

The multiplication must be completed first: 2×5=102 \times 5 = 10, then add 8.

4. QuestionMultiple choice

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

Please select an answer first.

Correct answer: D

The correct answer is 1818.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 3(4+2)=3×6=183(4 + 2) = 3 \times 6 = 18.
  3. Check the value: Substitute carefully and compare the result with the original expression.

3(4+2)=3×6=183(4 + 2) = 3 \times 6 = 18.

5. QuestionMultiple choice

What is a reasonable estimate for 19+3×419 + 3 \times 4?

Please select an answer first.

Correct answer: A

The correct answer is 3131.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: The exact value is 19+12=3119 + 12 = 31, so 31 is the reasonable estimate.
  3. Check the value: Substitute carefully and compare the result with the original expression.

The exact value is 19+12=3119 + 12 = 31, so 31 is the reasonable estimate.

6. QuestionMultiple choice

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

Please select an answer first.

Correct answer: B

The correct answer is 6+2x6 + 2x.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Distribute 2: 2(3+x)=6+2x2(3 + x) = 6 + 2x.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Distribute 2: 2(3+x)=6+2x2(3 + x) = 6 + 2x.

7. QuestionMultiple choice

Which expression has a value of 20?

Please select an answer first.

Correct answer: C

The correct answer is 42+44^2 + 4.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 42+4=16+4=204^2 + 4 = 16 + 4 = 20.
  3. Check the value: Substitute carefully and compare the result with the original expression.

42+4=16+4=204^2 + 4 = 16 + 4 = 20.

8. QuestionMultiple choice

Which equation has a value of 4?

Please select an answer first.

Correct answer: D

The correct answer is 24÷(2+4)=424 \div (2 + 4) = 4.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 2+4=62 + 4 = 6, and 24÷6=424 \div 6 = 4.
  3. Check the value: Substitute carefully and compare the result with the original expression.

2+4=62 + 4 = 6, and 24÷6=424 \div 6 = 4.

9. QuestionMultiple choice

What makes a numerical expression unambiguous?

Please select an answer first.

Correct answer: A

The correct answer is Clear operation symbols and grouping symbols when needed..

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Grouping symbols and standard operation symbols show exactly how the expression should be evaluated.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Grouping symbols and standard operation symbols show exactly how the expression should be evaluated.

10. QuestionMultiple choice

Which summary best describes Grade 6 Numerical Expressions?

Please select an answer first.

Correct answer: B

The correct answer is Numerical expressions use numbers, operations, variables, grouping symbols, and exponents to represent and evaluate quantities..

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: A complete summary connects order of operations, equivalent forms, substitution, exponents, and mathematical language.
  3. Check the value: Substitute carefully and compare the result with the original expression.

A complete summary connects order of operations, equivalent forms, substitution, exponents, and mathematical language.

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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.