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Grade 7 Math · Rational Numbers

Grade 7 Rational Numbers Practice Test

Build Grade 7 Math skills with five 10-question practice tests on fractions, decimals, number lines, absolute value, comparison, operations, equations, and real-world applications.

Rational Numbers Practice Tests

These Grade 7 Math practice tests help students represent, compare, and operate with rational numbers. Students work with fractions, decimals, integers, mixed numbers, number lines, absolute value, addition, subtraction, multiplication, division, equations, and real-world applications.

Skills covered

  • Writing rational numbers as fractions, decimals, integers, and mixed numbers
  • Using number lines, opposites, absolute value, and equivalent representations
  • Comparing and ordering positive and negative rational numbers
  • Adding and subtracting rational numbers with common and unlike denominators
  • Multiplying and dividing rational numbers and applying sign rules
  • Solving equations and using rational numbers in rate, temperature, money, recipe, and area problems

How to use these practice tests

Rewrite numbers in equivalent forms when helpful. For fractions, use a common denominator for addition and subtraction, and multiply by a reciprocal when dividing. Track signs carefully, apply the order of operations, simplify final answers, and estimate to check whether the result is reasonable.

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

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Grade 7 Rational Numbers Practice Tests

A 10-question Grade 7 Math practice test on rational number representations, fractions, decimals, number lines, comparison, absolute value, operations, equations, and applications.

Use equivalent fractions, decimal representations, number lines, operation rules, and estimation to solve each Grade 7 rational numbers question.

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

What is 14+12\frac{1}{4}+\frac{1}{2}?

Please select an answer first.

Correct answer: A

The correct answer is 34\frac{3}{4}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Rewrite 12\frac{1}{2} as 24\frac{2}{4} and add: 14+24=34\frac{1}{4}+\frac{2}{4}=\frac{3}{4}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Rewrite 12\frac{1}{2} as 24\frac{2}{4} and add: 14+24=34\frac{1}{4}+\frac{2}{4}=\frac{3}{4}.

2. QuestionMultiple choice

What is −23+16-\frac{2}{3}+\frac{1}{6}?

Please select an answer first.

Correct answer: B

The correct answer is −12-\frac{1}{2}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Use denominator 6: −23=−46-\frac{2}{3}=-\frac{4}{6}, then −46+16=−36=−12-\frac{4}{6}+\frac{1}{6}=-\frac{3}{6}=-\frac{1}{2}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Use denominator 6: −23=−46-\frac{2}{3}=-\frac{4}{6}, then −46+16=−36=−12-\frac{4}{6}+\frac{1}{6}=-\frac{3}{6}=-\frac{1}{2}.

3. QuestionMultiple choice

What is 58−34\frac{5}{8}-\frac{3}{4}?

Please select an answer first.

Correct answer: C

The correct answer is −18-\frac{1}{8}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Rewrite 34\frac{3}{4} as 68\frac{6}{8}: 58−68=−18\frac{5}{8}-\frac{6}{8}=-\frac{1}{8}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Rewrite 34\frac{3}{4} as 68\frac{6}{8}: 58−68=−18\frac{5}{8}-\frac{6}{8}=-\frac{1}{8}.

4. QuestionMultiple choice

What is −1.2−(−0.7)-1.2-(-0.7)?

Please select an answer first.

Correct answer: D

The correct answer is −0.5-0.5.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Subtracting a negative is addition: −1.2+0.7=−0.5-1.2+0.7=-0.5.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Subtracting a negative is addition: −1.2+0.7=−0.5-1.2+0.7=-0.5.

5. QuestionMultiple choice

What is −35+(−45)-\frac{3}{5}+(-\frac{4}{5})?

Please select an answer first.

Correct answer: A

The correct answer is −75-\frac{7}{5}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: The denominators match, so add the numerators: −3+(−4)=−7-3+(-4)=-7, giving −75-\frac{7}{5}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

The denominators match, so add the numerators: −3+(−4)=−7-3+(-4)=-7, giving −75-\frac{7}{5}.

6. QuestionMultiple choice

What is 76−53\frac{7}{6}-\frac{5}{3}?

Please select an answer first.

Correct answer: B

The correct answer is −12-\frac{1}{2}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Rewrite 53=106\frac{5}{3}=\frac{10}{6}, then 76−106=−36=−12\frac{7}{6}-\frac{10}{6}=-\frac{3}{6}=-\frac{1}{2}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Rewrite 53=106\frac{5}{3}=\frac{10}{6}, then 76−106=−36=−12\frac{7}{6}-\frac{10}{6}=-\frac{3}{6}=-\frac{1}{2}.

7. QuestionMultiple choice

What is −214+312-2\frac{1}{4}+3\frac{1}{2}?

Please select an answer first.

Correct answer: C

The correct answer is 1141\frac{1}{4}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Convert to fourths: −94+144=54=114-\frac{9}{4}+\frac{14}{4}=\frac{5}{4}=1\frac{1}{4}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Convert to fourths: −94+144=54=114-\frac{9}{4}+\frac{14}{4}=\frac{5}{4}=1\frac{1}{4}.

8. QuestionMultiple choice

What is 512−(−16)\frac{5}{12}-(-\frac{1}{6})?

Please select an answer first.

Correct answer: D

The correct answer is 712\frac{7}{12}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Add the opposite: 512+212=712\frac{5}{12}+\frac{2}{12}=\frac{7}{12}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Add the opposite: 512+212=712\frac{5}{12}+\frac{2}{12}=\frac{7}{12}.

9. QuestionMultiple choice

Why is the sum of two rational numbers always rational?

Please select an answer first.

Correct answer: A

The correct answer is Rational numbers are closed under addition..

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Adding two ratios of integers produces another ratio of integers with a nonzero denominator.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Adding two ratios of integers produces another ratio of integers with a nonzero denominator.

10. QuestionMultiple choice

What is (34−12)+18\left(\frac{3}{4}-\frac{1}{2}\right)+\frac{1}{8}?

Please select an answer first.

Correct answer: B

The correct answer is 38\frac{3}{8}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: First calculate 34−12=14\frac{3}{4}-\frac{1}{2}=\frac{1}{4}, then add 18\frac{1}{8} to get 38\frac{3}{8}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

First calculate 34−12=14\frac{3}{4}-\frac{1}{2}=\frac{1}{4}, then add 18\frac{1}{8} to get 38\frac{3}{8}.

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Frequently asked questions about Grade 7 Rational Numbers

What topics are covered?

The page covers rational number definitions, equivalent fractions, decimals, integers, mixed numbers, number lines, comparison, absolute value, addition, subtraction, multiplication, division, equations, and applications.

How should students solve rational number problems?

Choose an equivalent form, apply the correct operation rule, track signs, simplify the answer, and use estimation or a number line to check the result.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Rational Numbers questions in total.