7th Grade Distributive Property And Symplifying Like Terms

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  • 1/10 Questions

    Simplify and combine like terms for 9(a+b) + 4(3a+2b)

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About This Quiz

Students will demonstate the ability to use the distributive property and combine like terms.

7th Grade Distributive Property And Symplifying Like Terms - Quiz

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  • 2. 

    Simplify and combine like terms for 5(x+4y+2x)

    Explanation
    To simplify and combine like terms for 5(x+4y+2x), we distribute the 5 to each term inside the parentheses, resulting in 5x+20y+10x. Then, we combine the like terms, which are the x terms, giving us 15x+20y.

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  • 3. 

    Simplify and combine like terms for 6(3+2y) + 3y=

    Explanation
    To simplify and combine like terms for 6(3+2y) + 3y, we first distribute the 6 to both terms inside the parentheses. This gives us 18 + 12y. Then we add the 3y to this expression, resulting in 18 + 15y.

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  • 4. 

    5(q-p) expands to become

    • 5q-5p

    • 5q-p

    • 5q+5p

    • Q-5p

    Correct Answer
    A. 5q-5p
    Explanation
    The given expression, 5(q-p), can be expanded by distributing the 5 to both q and -p. This results in 5q - 5p. Therefore, the correct answer is 5q - 5p.

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  • 5. 

    Simplify and combine like terms for -7(9x + 3y) + 7(3x + 5y)=

    Correct Answer
    -42x+14y
    Explanation
    To simplify and combine like terms for the given expression, we distribute the -7 and 7 to the terms inside the parentheses. This gives us -63x - 21y + 21x + 35y. Then, we combine like terms by adding the coefficients of x and y. This results in -42x + 14y.

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  • 6. 

    Simplify and combine like terms for  8(k+m) + 15(2k+5m)

    Correct Answer
    38k+73m
    Explanation
    To simplify and combine like terms for 8(k+m) + 15(2k+5m), we distribute the 8 and 15 to each term inside the parentheses. This gives us 8k + 8m + 30k + 75m. Next, we combine like terms by adding the coefficients of the k and m terms. This gives us 38k + 83m. Therefore, the simplified and combined expression is 38k + 73m.

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  • 7. 

    Simplify and combine like terms for 2(8w-4) +10 =

    Correct Answer
    18w+2
    Explanation
    The given expression is 2(8w-4) + 10. To simplify this expression, we first distribute the 2 to both terms inside the parentheses. This gives us 16w - 8 + 10. Combining like terms, we have 16w + 2. Therefore, the simplified expression is 18w + 2.

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  • 8. 

    Simplify 5y+7+y

    • 6y+7

    • 12y

    • 5y+8

    • 4y+7

    Correct Answer
    A. 6y+7
    Explanation
    The given expression is 5y+7+y. To simplify this expression, we can combine the like terms, which are the terms with the same variable, y. Adding 5y and y gives us 6y. The constant term, 7, remains unchanged. Therefore, the simplified form of the expression is 6y+7.

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  • 9. 

    Simplify 7z+3w-4z+3w+6

    • 15zw

    • 3z+6w+6

    • 11z+6w+6

    • 3z+6w

    Correct Answer
    A. 3z+6w+6
    Explanation
    The given expression is a combination of terms with variables z and w. To simplify the expression, we can combine like terms. The terms 7z and -4z can be combined to give 3z. Similarly, the terms 3w and 3w can be combined to give 6w. The constant term 6 remains unchanged. Therefore, the simplified expression is 3z + 6w + 6.

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  • 10. 

    -4(3x+2) expands to become

    • 12x-2

    • -12x+4

    • -12x+8

    • -12x-8

    Correct Answer
    A. -12x-8
    Explanation
    When we distribute -4 to each term inside the parentheses, we multiply -4 with each term. This gives us -12x for the first term and -8 for the second term. Therefore, the expanded form of -4(3x+2) is -12x - 8.

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  • Current Version
  • Dec 02, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 25, 2012
    Quiz Created by
    Teajay11
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