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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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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 (−6)(4)(-6)(4)?

Please select an answer first.

Correct answer: A

The correct answer is −24-24.

  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: A negative factor times a positive factor is negative, and 6⋅4=246\cdot4=24.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

A negative factor times a positive factor is negative, and 6⋅4=246\cdot4=24.

2. QuestionMultiple choice

What is (−45)÷(−9)(-45)\div(-9)?

Please select an answer first.

Correct answer: B

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: A negative divided by a negative is positive, and 45÷9=545\div9=5.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

A negative divided by a negative is positive, and 45÷9=545\div9=5.

3. QuestionMultiple choice

What is (−3)3(-3)^3?

Please select an answer first.

Correct answer: C

The correct answer is −27-27.

  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: An odd number of negative factors gives a negative result: (−3)(−3)(−3)=−27(-3)(-3)(-3)=-27.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

An odd number of negative factors gives a negative result: (−3)(−3)(−3)=−27(-3)(-3)(-3)=-27.

4. QuestionMultiple choice

What is (−2)4(-2)^4?

Please select an answer first.

Correct answer: D

The correct answer is 1616.

  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: An even number of negative factors gives a positive result: 24=162^4=16.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

An even number of negative factors gives a positive result: 24=162^4=16.

5. QuestionMultiple choice

What is 7(−3)+57(-3)+5?

Please select an answer first.

Correct answer: A

The correct answer is −16-16.

  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: Multiply first: 7(−3)=−217(-3)=-21, then add 5 to get −16-16.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Multiply first: 7(−3)=−217(-3)=-21, then add 5 to get −16-16.

6. QuestionMultiple choice

What is 48÷(−6)+248\div(-6)+2?

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: Divide first: 48÷(−6)=−848\div(-6)=-8, then −8+2=−6-8+2=-6.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Divide first: 48÷(−6)=−848\div(-6)=-8, then −8+2=−6-8+2=-6.

7. QuestionMultiple choice

Which product is positive?

Please select an answer first.

Correct answer: C

The correct answer is (−5)(−2)(-5)(-2).

  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 product of two negative numbers is positive, so (−5)(−2)=10(-5)(-2)=10.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

The product of two negative numbers is positive, so (−5)(−2)=10(-5)(-2)=10.

8. QuestionMultiple choice

What is 0÷(−8)0\div(-8)?

Please select an answer first.

Correct answer: D

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: Zero divided by any nonzero number equals zero.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Zero divided by any nonzero number equals zero.

9. QuestionMultiple choice

What is the greatest common factor of 1818 and 3030?

Please select an answer first.

Correct answer: A

The correct answer is 66.

  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 common factors are 1, 2, 3, and 6; the greatest is 6.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

The common factors are 1, 2, 3, and 6; the greatest is 6.

10. QuestionMultiple choice

What is (−2)(3)(−4)(-2)(3)(-4)?

Please select an answer first.

Correct answer: B

The correct answer is 2424.

  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: There are two negative factors, so the product is positive; 2⋅3⋅4=242\cdot3\cdot4=24.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

There are two negative factors, so the product is positive; 2⋅3⋅4=242\cdot3\cdot4=24.

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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.