Which of the following is equivalent to (x^(2)+1)+(2x-1) ? Choose 1 answer: (A) x^(2)-2x+2 (B) x^(2)+2x (C) x^(2)+2x+1 (D) 3x^(2)

Combine like terms: Combine like terms from the given expression. (x^(2) + 1) + (2x - 1) = x^(2) + 1 + 2x - 1Simplify expression: Simplify the expression by adding/subtracting the constants. x^(2) + 1 + 2x - 1 = x^(2) + 2x + (1 - 1) = x^(2) + 2x + 0 = x^(2) + 2xMatch simplified expression: Match the simplified expression with the given choices. The simplified expression is x^(2) + 2x, which matches choice (B).

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Which of the following is equivalent to
(x^(2)+1)+(2x-1) ?
Choose 1 answer:
(A)
x^(2)-2x+2
(B)
x^(2)+2x
(C)
x^(2)+2x+1
(D)
3x^(2)

Which of the following is equivalent to $\left(x^{2}+1\right)+(2 x-1)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $x^{2}-2 x+2$ $\newline$ (B) $x^{2}+2 x$ $\newline$ (C) $x^{2}+2 x+1$ $\newline$ (D) $3 x^{2}$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Which of the following is equivalent to

\left(x^{2}+1\right)+(2 x-1)

\newline

Choose

1

answer:

\newline

(A)

x^{2}-2 x+2

\newline

(B)

x^{2}+2 x

\newline

(C)

x^{2}+2 x+1

\newline

(D)

3 x^{2}

Combine like terms: Combine like terms from the given expression. $\newline$ $(x^{2} + 1) + (2x - 1)$ $\newline$ $= x^{2} + 1 + 2x - 1$
Simplify expression: Simplify the expression by adding/subtracting the constants. $\newline$ $x^{2} + 1 + 2x - 1$ $\newline$ = $x^{2} + 2x + (1 - 1)$ $\newline$ = $x^{2} + 2x + 0$ $\newline$ = $x^{2} + 2x$
Match simplified expression: Match the simplified expression with the given choices. $\newline$ The simplified expression is $x^{2} + 2x$ , which matches choice (B).