Practice Problems

Hints

  1. The simplified expression is ‍\(-16n -41\).
    • Distribute the 2 to each term inside the first set of parentheses:
    • \(2(-n-3)-7(5+2n) = -2n -6 -7 (5+2n)\)
    • Distribute the -7 to each term inside the second set of parentheses:
    • \(-2n-6-7(5+2n) = -2n -6 -35 -14n\)
    • Rewrite the expression to group the n‍-terms and numeric terms, and then combine like terms:

    • \(-2n-14n-6-35 = -16n -41\)

  2. The simplified expression is ‍\(-2z+2\).
    • The minus sign in front of the parentheses means we multiply each term inside the parentheses by -1:
    • \(-3z-1(-z-2) = -3z+z+2\)
    • Combine the ‍z-terms:

    • \(-3z+z+2 = -2z+2\)

  3. The simplified expression is ‍\(2k-13\).
    • Distribute the -3 to each term inside the first set of parentheses:
    • \(-3(2+4k) + 7(2k-1) = -6-12k + 7(2k-1)\)
    • Distribute the 7 to each term inside the second set of parentheses:
    • \(-6-12k + 7(2k-1) = -6-12k+14k-7\)
    • Rewrite the expression to group the k-terms and numeric terms, and then combine like terms:

    • \(-12k + 14k-6-7 = 2k-13\)

  4. The simplified expression is ‍\(-20p-2\).
    • Distribute the -4 to each term inside the parentheses:
    • \(2-4(5p+1)=2-20p-4\)
    • Combine the numeric terms:
    • \(2-20p-4=-20p-2\)
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