Testinar Grade 7 math

Solving Real-World Problems with Rational Numbers

Students will build Grade 7 mastery of solving real-world problems with rational numbers using models, equations, and test-style reasoning.

CH03-08 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. The temperature dropped 2.5°F each hour for \(4\) hours. What was the total change in temperature?

    1. -10°F
    2. -6.5°F
    3. 6.5°F
    4. 10°F

  2. A diver descends \(3.5\) meters below sea level each minute. After \(6\) minutes, what is the diver's depth relative to sea level?

    1. \(-21\) m
    2. \(-10.5\) m
    3. \(10.5\) m
    4. \(21\) m

  3. Maria has a bank account balance of \($145.50\). She withdraws \($28.75\), then deposits \($52.25\). What is her new balance?

    1. \($116.75\)
    2. \($118.75\)
    3. \($169.00\)
    4. \($226.50\)

  4. A football team loses \(7\) yards on one play and gains \(13\) yards on the next. What is the net change in yards?

    1. \(-20\) yards
    2. \(-6\) yards
    3. \(6\) yards
    4. \(20\) yards

  5. A recipe calls for \(\frac{3}{4}\) cup of sugar. If you are making \(\frac{1}{2}\) of the recipe, how much sugar do you need?

    1. \(\frac{3}{8}\) cup
    2. \(\frac{1}{2}\) cup
    3. \(\frac{5}{4}\) cups
    4. \(1\frac{1}{2}\) cups

  6. The temperature at 6 AM was -8°C. It rose by 3.5°C by 9 AM. What was the temperature at 9 AM?

    1. -11.5°C
    2. -4.5°C
    3. 4.5°C
    4. 11.5°C

  7. An elevator starts at the 5th floor, goes down 8 floors, then up 6 floors. On which floor does it end?

    1. Floor \(-3\)
    2. Floor \(1\)
    3. Floor \(3\)
    4. Floor \(19\)

  8. Over \(5\) weeks, an account loses \($12.50\) per week. What is the total change in the account balance?

    1. \(-$62.50\)
    2. \(-$7.50\)
    3. \($7.50\)
    4. \($62.50\)
Teacher and parent reference

Answer key and explanations

  1. A. -10°F

    A drop of 2.5°F is \(-2.5\). Over \(4\) hours: \(4\times(-2.5)=-10°\)F.

  2. A. \(-21\) m

    Each descent of \(3.5\) m is negative: \(-3.5 \times 6 = -21\) m.

  3. C. \($169.00\)

    \(145.50 - 28.75 + 52.25 = 116.75 + 52.25 = 169.00\) dollars.

  4. C. \(6\) yards

    Loss of \(7\) yards is \(-7\); gain of \(13\) is \(+13\): \(-7 + 13 = 6\) yards.

  5. A. \(\frac{3}{8}\) cup

    Multiply: \(\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}\) cup.

  6. B. -4.5°C

    \(-8 + 3.5 = -4.5°\)C.

  7. C. Floor \(3\)

    Start at 5, go down 8: \(5 - 8 = -3\) (basement). Then up 6: \(-3 + 6 = 3\).

  8. A. \(-$62.50\)

    Loss of \($12.50\) per week for \(5\) weeks: \(-12.50 \times 5 = -62.50\) dollars.

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