Testinar Grade 5 math

Writing and Interpreting Numerical Expressions

Students will write and interpret numerical expressions from words and situations.

CH07-02 Expressions and Patterns
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. Which expression represents "4 times the sum of 8 and 3, then subtract 2 times 6"?

    1. \(4 \times 8 + 3 - 2 \times 6\)
    2. \(4 + (8 + 3) - 2 \times 6\)
    3. \(4 \times (8 + 3) - 2 \times 6\)
    4. \(4 \times (8 + 3 - 2) \times 6\)

  2. Which expression represents "the sum of 7 and 5, multiplied by 3"?

    1. \(7 + 5 \times 3\)
    2. \((7+5) \times 3\)
    3. \(7 \times (5+3)\)
    4. \(7 + (5 \times 3)\)

  3. Which expression represents "9 less than the product of 6 and 4"?

    1. \(9 - 6 \times 4\)
    2. \((6+4) - 9\)
    3. \(9 \times (6-4)\)
    4. \(6 \times 4 - 9\)

  4. Which expression represents "twice the sum of 8 and 5"?

    1. \(2 \times 8 + 5\)
    2. \(2 + (8+5)\)
    3. \(2 \times (8+5)\)
    4. \(8 + 2 \times 5\)

  5. Which verbal statement matches the expression \((20 - 4) \div 2\)?

    1. Divide 20 by 4, then subtract 2
    2. The difference of 20 and 4, divided by 2
    3. 20 minus the quotient of 4 and 2
    4. Twice the difference of 20 and 4

  6. Marissa bought 3 bags with 5 apples in each bag and then ate 2 apples. Which expression shows how many apples she has left?

    1. \(3 + 5 - 2\)
    2. \(3 \times 5 - 2\)
    3. \(3 \times (5 - 2)\)
    4. \((3+5) \times 2\)

  7. Which expression represents "the product of 6 and the sum of 3 and 4"?

    1. \(6 + (3+4)\)
    2. \(6 \times 3 + 4\)
    3. \(6 \times (3 + 4)\)
    4. \((6+3) \times 4\)

  8. Which expression represents adding 7 to \(4 \times 9\)?

    1. \(7 + 4 + 9\)
    2. \(4 \times 9 + 7\)
    3. \(7 \times (4 + 9)\)
    4. \(4 \times (9 + 7)\)
Teacher and parent reference

Answer key and explanations

  1. C. \(4 \times (8 + 3) - 2 \times 6\)

    The phrase "the sum of 8 and 3" means group \(8+3\). Then multiply by 4 and subtract the product \(2 \times 6\).

  2. B. \((7+5) \times 3\)

    The words "the sum of 7 and 5" mean 7 and 5 must be grouped together as \((7+5)\). Then multiply that whole sum by 3.

  3. D. \(6 \times 4 - 9\)

    The product of 6 and 4 is \(6 \times 4\). The phrase "9 less than" means subtract 9 from that product, so the expression is \(6 \times 4 - 9\).

  4. C. \(2 \times (8+5)\)

    "Twice" means multiply by 2. Since it is twice the whole sum, group \(8+5\) first: \(2 \times (8+5)\).

  5. B. The difference of 20 and 4, divided by 2

    The parentheses show the difference happens first: \(20-4\). Then that whole difference is divided by 2, matching choice B.

  6. B. \(3 \times 5 - 2\)

    First find the apples Marissa bought: \(3\) bags times \(5\) apples is \(3 \times 5\). Then subtract the 2 apples she ate.

  7. C. \(6 \times (3 + 4)\)

    The phrase "the sum of 3 and 4" needs parentheses. The product with 6 is \(6 \times (3+4)\).

  8. B. \(4 \times 9 + 7\)

    Start with the product \(4 \times 9\). Adding 7 to that product gives \(4 \times 9 + 7\).

Free Testinar sample Reviewed November 6, 2026 testinar.com
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