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Grade 7 Math · Operations with Fractions and Integers

Grade 7 Operations with Fractions and Integers Practice Test

Build Grade 7 Math skills with five 10-question practice tests on integer operations, fraction addition, subtraction, multiplication, division, mixed numbers, equations, order of operations, and applications.

Operations with Fractions and Integers Practice Tests

These Grade 7 Math practice tests help students add, subtract, multiply, and divide integers, fractions, and mixed numbers. Students also apply order of operations, solve equations, simplify results, and use rational number operations in distance, time, recipes, money, and measurement problems.

Skills covered

  • Adding and subtracting positive and negative integers
  • Multiplying and dividing integers and applying positive and negative sign rules
  • Adding and subtracting fractions with common and unlike denominators
  • Multiplying and dividing fractions, mixed numbers, and zero
  • Applying order of operations with integers and fractions
  • Solving one-step equations and modeling real-world situations with rational operations

How to use these practice tests

For integer operations, track the signs before calculating. For fraction addition and subtraction, use a common denominator. For fraction division, multiply by the reciprocal. Follow the order of operations, simplify the final result, and use estimation or substitution to check whether the answer is reasonable.

For more Grade 7 Math practice, return to the Grade 7 Math category.

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5 Tests
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1. Test

Grade 7 Operations with Fractions and Integers Practice Tests

A 10-question Grade 7 Math practice test on integer operations, fraction addition, subtraction, multiplication, division, mixed numbers, order of operations, equations, and applications.

Apply sign rules, common denominators, reciprocal multiplication, order of operations, simplification, and estimation to solve each problem.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is −7+12-7+12?

Please select an answer first.

Correct answer: A

The correct answer is 55.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: −7+12=5-7+12=5 because adding a positive number moves 12 units to the right from -7.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

−7+12=5-7+12=5 because adding a positive number moves 12 units to the right from -7.

2. QuestionMultiple choice

What is −15−(−9)-15-(-9)?

Please select an answer first.

Correct answer: B

The correct answer is −6-6.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Subtracting a negative is addition: −15+9=−6-15+9=-6.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Subtracting a negative is addition: −15+9=−6-15+9=-6.

3. QuestionMultiple choice

What is 8+(−13)8+(-13)?

Please select an answer first.

Correct answer: C

The correct answer is −5-5.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: The numbers have different signs, so subtract absolute values and keep the sign of the larger absolute value: 13−8=513-8=5, negative.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

The numbers have different signs, so subtract absolute values and keep the sign of the larger absolute value: 13−8=513-8=5, negative.

4. QuestionMultiple choice

What is −4−11-4-11?

Please select an answer first.

Correct answer: D

The correct answer is −15-15.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Subtracting 11 from -4 moves 11 units left: −4−11=−15-4-11=-15.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Subtracting 11 from -4 moves 11 units left: −4−11=−15-4-11=-15.

5. QuestionMultiple choice

What is 18+(−25)+718+(-25)+7?

Please select an answer first.

Correct answer: A

The correct answer is 00.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Combine in order: 18−25+7=−7+7=018-25+7=-7+7=0.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Combine in order: 18−25+7=−7+7=018-25+7=-7+7=0.

6. QuestionMultiple choice

What is −3−(−8)+(−4)-3-(-8)+(-4)?

Please select an answer first.

Correct answer: B

The correct answer is 11.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Rewrite subtraction of a negative: −3+8−4=5−4=1-3+8-4=5-4=1.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Rewrite subtraction of a negative: −3+8−4=5−4=1-3+8-4=5-4=1.

7. QuestionMultiple choice

Which expression has the same value as 9−(−6)9-(-6)?

Please select an answer first.

Correct answer: C

The correct answer is 9+69+6.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Subtracting a negative is equivalent to adding its positive opposite, so 9−(−6)=9+69-(-6)=9+6.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Subtracting a negative is equivalent to adding its positive opposite, so 9−(−6)=9+69-(-6)=9+6.

8. QuestionMultiple choice

A number is 55 units left of −2-2 on a number line. What is the number?

Please select an answer first.

Correct answer: D

The correct answer is −7-7.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Moving 5 units left means subtract 5: −2−5=−7-2-5=-7.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Moving 5 units left means subtract 5: −2−5=−7-2-5=-7.

9. QuestionMultiple choice

What is the sum of −2.75-2.75 and 1.51.5?

Please select an answer first.

Correct answer: A

The correct answer is −1.25-1.25.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: −2.75+1.50=−1.25-2.75+1.50=-1.25.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

−2.75+1.50=−1.25-2.75+1.50=-1.25.

10. QuestionMultiple choice

Which statement is true about adding integers?

Please select an answer first.

Correct answer: B

The correct answer is The sum of two integers is always an integer..

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Integers are closed under addition, so adding any two integers gives another integer.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Integers are closed under addition, so adding any two integers gives another integer.

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Frequently asked questions about Grade 7 Operations with Fractions and Integers

What topics are covered?

The page covers integer addition, subtraction, multiplication, division, exponents, fraction addition, subtraction, multiplication, division, mixed numbers, order of operations, equations, and applications.

How should students avoid errors?

Track signs, use common denominators for addition and subtraction, multiply by reciprocals when dividing fractions, follow operation order, simplify, and check with estimation or substitution.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Operations with Fractions and Integers questions in total.