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Multiplying and Dividing Integers and Rational Numbers: Grade 7 Math Test – PDF Download

    Multiplying and Dividing Integers and Rational Numbers – Grade 7 math test
    This 45-minute test covers multiplying and dividing integers and rational numbers: sign rules, division by zero, products of fractions and decimals, and temperature problems (7.NS.A.2). It has nine questions worth 20 points. Show your work.
    Test information
    • Grade: Grade 7
    • Chapter: Multiplying and Dividing Integers and Rational Numbers
    • Common Core: 7.NS.A.2a, 7.NS.A.2b, 7.NS.A.2c
    • Time: 45 minutes
    • Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 2 pts; Question 6: 3 pts; Question 7: 3 pts; Question 8: 2 pts; Question 9: 2 pts)

    Question 1: Products (2 points)

    Find each product.

    1. \((-9)(7)\) (1 point)
    2. \((-6)(-11)\) (1 point)

    Question 2: Product from a Number Line (2 points)

    The number line shows jumps that start at \(0\).

    −14−13−12−11−10−9−8−7−6−5−4−3−2−1012−4−4−4
    Three equal jumps from \(0\).

    Write a multiplication equation for the jumps and state the product.

    Question 3: Quotients (2 points)

    Find each quotient.

    1. \(-72 : 8\) (1 point)
    2. \(-56 : (-7)\) (1 point)

    Question 4: Zero in Division (2 points)

    1. Find \(0 : (-9)\). (1 point)
    2. Explain why \(6 : 0\) is undefined. (1 point)

    Question 5: Decimals and Fractions (2 points)

    Find each product.

    1. \((-0.5)(8.4)\) (1 point)
    2. \((-\frac{2}{3})(-\frac{9}{10})\) (1 point)

    Question 6: A Pattern of Products (3 points)

    The table multiplies \(-5\) by several factors.

    Factor3210−1−2(−5) × factor−15−10−50??
    Products of \(-5\).
    1. Find the two missing products. (1 point)
    2. Describe how the products change as the factor decreases by \(1\). (1 point)
    3. What does the pattern suggest about the product of two negative numbers? (1 point)

    Question 7: Falling Temperature (3 points)

    The temperature is shown on the thermometer. It drops \(4^{\circ}\text{F}\) every hour for \(6\) hours.

    −15−10−5051015010°F
    Starting temperature.
    1. Find the total change in temperature. (1 point)
    2. Find the final temperature. (1 point)
    3. The total change of \(-24^{\circ}\text{F}\) happened over \(6\) hours. Find the change per hour using division. (1 point)

    Question 8: Equivalent Forms (2 points)

    1. Evaluate \(-\frac{18}{6}\), \(\frac{-18}{6}\), and \(\frac{18}{-6}\). (1 point)
    2. Write \(\frac{15}{-3}\) with the negative sign in the numerator and evaluate it. (1 point)

    Question 9: Three Factors (2 points)

    Evaluate \((-2)(-5)(-3) : 6\).

    Multiplying and Dividing Integers and Rational Numbers: Grade 7 test answer key

    See every chapter on the Grade 7 math page.

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