Testinar Grade 7 math

Adding and Subtracting Rational Numbers

Students will build Grade 7 mastery of adding and subtracting rational numbers using models, equations, and test-style reasoning.

CH03-04 The Number System
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. Evaluate: \(-\frac{3}{4}+\frac{1}{2}\)

    1. \(-\frac{5}{4}\)
    2. \(-\frac{1}{4}\)
    3. \(\frac{1}{4}\)
    4. \(\frac{5}{4}\)

  2. What is \(-\frac{3}{5}+\frac{4}{5}\)?

    1. \(-\frac{7}{5}\)
    2. \(\frac{1}{5}\)
    3. \(\frac{3}{5}\)
    4. \(-\frac{1}{5}\)

  3. Evaluate: \(5.2 - 7.1\)

    1. \(-1.9\)
    2. \(1.9\)
    3. \(12.3\)
    4. \(-12.3\)

  4. Add: \(1\frac{1}{3} + 2\frac{1}{6}\)

    1. \(4\frac{1}{6}\)
    2. \(3\frac{1}{6}\)
    3. \(2\frac{1}{2}\)
    4. \(3\frac{1}{2}\)

  5. Which expression is equivalent to \(8 - 3\)?

    1. \(8 + 3\)
    2. \(8 + (-3)\)
    3. \(-8 + 3\)
    4. \(3 - 8\)

  6. Evaluate: \(-\frac{5}{6} - \frac{1}{3}\)

    1. \(\frac{7}{6}\)
    2. \(-\frac{1}{2}\)
    3. \(-\frac{5}{6}\)
    4. \(-1\frac{1}{6}\)

  7. Use the number line below. Start at \(-2\) and add \(3\). Where do you end?

    Adding and Subtracting Rational Numbers visual for G7-C03-T04-Q007
    1. \(-5\)
    2. \(1\)
    3. \(-1\)
    4. \(5\)

  8. Subtract: \(\frac{7}{8} - \frac{1}{4}\)

    1. \(\frac{3}{4}\)
    2. \(\frac{6}{8}\)
    3. \(\frac{1}{2}\)
    4. \(\frac{5}{8}\)
Teacher and parent reference

Answer key and explanations

  1. B. \(-\frac{1}{4}\)

    Find a common denominator: \(-\frac{3}{4}+\frac{2}{4}=-\frac{1}{4}\).

  2. B. \(\frac{1}{5}\)

    When denominators are the same, add the numerators: \(-\frac{3}{5}+\frac{4}{5}=\frac{1}{5}\).

  3. A. \(-1.9\)

    Since \(5.2 < 7.1\), the difference is negative: \(5.2 - 7.1 = -1.9\).

  4. D. \(3\frac{1}{2}\)

    Convert to common denominator 6: \(1\frac{2}{6} + 2\frac{1}{6} = 3\frac{3}{6} = 3\frac{1}{2}\).

  5. B. \(8 + (-3)\)

    Subtraction can be rewritten as adding the opposite: \(8 - 3 = 8 + (-3) = 5\).

  6. D. \(-1\frac{1}{6}\)

    Common denominator is 6: \(-\frac{5}{6} - \frac{2}{6} = -\frac{7}{6} = -1\frac{1}{6}\).

  7. B. \(1\)

    Starting at \(-2\) and moving right 3 units: \(-2 + 3 = 1\).

  8. D. \(\frac{5}{8}\)

    Common denominator is 8: \(\frac{7}{8} - \frac{2}{8} = \frac{5}{8}\).

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