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Adding and Subtracting Integers and Rational Numbers: Grade 7 Math Test – PDF Download

    Adding and Subtracting Integers and Rational Numbers – Grade 7 math test
    This 45-minute test covers adding and subtracting integers, decimals, and fractions, plus distance on a number line (7.NS.A.1). It has nine questions worth 20 points in all. Show your work, and include units and signs in every answer.
    Test information
    • Grade: Grade 7
    • Chapter: Adding and Subtracting Integers and Rational Numbers
    • Common Core: 7.NS.A.1a, 7.NS.A.1b, 7.NS.A.1c, 7.NS.A.1d
    • 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: 2 pts; Question 7: 3 pts; Question 8: 3 pts; Question 9: 2 pts)

    Question 1: Opposites (2 points)

    1. Write the opposite of \(-13\). (1 point)
    2. Find \(-18.5 + 18.5\). (1 point)

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

    The number line shows a jump that starts at \(-5\).

    −8−7−6−5−4−3−2−1012345678+8
    Jump starting at \(-5\).

    Write the addition equation the number line shows.

    Question 3: Adding Integers (2 points)

    Find each sum.

    1. \(-14 + 9\) (1 point)
    2. \(-8 + (-6)\) (1 point)

    Question 4: Subtracting Integers (2 points)

    Find each difference.

    1. \(7 – 15\) (1 point)
    2. \(-3 – (-9)\) (1 point)

    Question 5: Decimals and Fractions (2 points)

    Evaluate each expression.

    1. \(-2.75 + 1.5\) (1 point)
    2. \(-\frac{1}{2} – \frac{3}{4}\) (1 point)

    Question 6: Overnight Temperatures (2 points)

    The thermometer shows the temperature at midnight. By noon it had risen \(15^{\circ}\text{F}\). By evening it had fallen \(11^{\circ}\text{F}\) from the noon temperature.

    −15−10−50510150−8°F
    Midnight temperature.
    1. Find the noon temperature. (1 point)
    2. Find the evening temperature. (1 point)

    Question 7: Distance Between Points (3 points)

    Points \(A\) and \(B\) are plotted on the number line.

    −10−9−8−7−6−5−4−3−2−1012345678910AB
    Points \(A\) and \(B\).
    1. Find the distance between \(A\) and \(B\). (2 points)
    2. Point \(C\) is \(5.5\) units to the right of \(B\). Find the coordinate of \(C\). (1 point)

    Question 8: Account Balance (3 points)

    Jamal\’s account balance is \(-\$18.40\). He makes the two transactions on the receipt.

    Account activityDeposit+$50.00Store purchase−$37.85
    Jamal’s transactions.
    1. Find the balance after the deposit. (1 point)
    2. Find the balance after the purchase. (1 point)
    3. How much more must Jamal deposit to reach a balance of \(\$0\)? (1 point)

    Question 9: Find the Error (2 points)

    Liam wrote \(-6 – (-2) = -8\).

    1. Explain Liam\’s error. (1 point)
    2. Find the correct value. (1 point)

    Adding and Subtracting Integers and Rational Numbers: Grade 7 test answer key

    See every chapter on the Grade 7 math page.

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