Which of the following expressions is equivalent to: (4x^(3)-5x)+(8x-3x^(3))? Choose 1 answer: (A) x^(3)+3x (B) x^(3)-3x (C) 7x^(3)-3x (D) 7x^(3)+3x

Combine like terms: Combine like terms by adding the coefficients of the terms with the same variable and exponent. (4x^(3)-5x) + (8x-3x^(3)) = 4x^(3) - 3x^(3) - 5x + 8xPerform addition and subtraction: Perform the addition and subtraction of the coefficients for the like terms. 4x^(3) - 3x^(3) = (4 - 3)x^(3) = 1x^(3) or simply x^(3) -5x + 8x = (8 - 5)x = 3xWrite simplified expression: Write down the simplified expression. x^(3) + 3x

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Which of the following expressions is equivalent to:

(4x^(3)-5x)+(8x-3x^(3))?
Choose 1 answer:
(A)
x^(3)+3x
(B)
x^(3)-3x
(C)
7x^(3)-3x
(D)
7x^(3)+3x

Which of the following expressions is equivalent to: $\newline$ $\left(4 x^{3}-5 x\right)+\left(8 x-3 x^{3}\right) ?$ $\newline$ Choose $1$ answer: $\newline$ (A) $x^{3}+3 x$ $\newline$ (B) $x^{3}-3 x$ $\newline$ (C) $7 x^{3}-3 x$ $\newline$ (D) $7 x^{3}+3 x$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Which of the following expressions is equivalent to:

\newline

\left(4 x^{3}-5 x\right)+\left(8 x-3 x^{3}\right) ?

\newline

Choose

1

answer:

\newline

(A)

x^{3}+3 x

\newline

(B)

x^{3}-3 x

\newline

(C)

7 x^{3}-3 x

\newline

(D)

7 x^{3}+3 x

Combine like terms: Combine like terms by adding the coefficients of the terms with the same variable and exponent. $\newline$ $(4x^{3}-5x) + (8x-3x^{3})$ $\newline$ $= 4x^{3} - 3x^{3} - 5x + 8x$
Perform addition and subtraction: Perform the addition and subtraction of the coefficients for the like terms. $\newline$ $4x^{3} - 3x^{3} = (4 - 3)x^{3} = 1x^{3}$ or simply $x^{3}$ $\newline$ $-5x + 8x = (8 - 5)x = 3x$
Write simplified expression: Write down the simplified expression. $x^{3} + 3x$