AnswersMathematics 8Linear Equations — TestQuestion 22
22
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Linear Equations — Test

Question 22 • Mathematics 8

Carey solves the equation 4 times open paren 2 x minus 1 close paren plus 5 is equal to 3 plus 2 times open paren x plus 1 close paren by applying the distributive property on both sides of the equation. The result is 8 x minus 4 plus 5 is equal to 3 plus 2 x plus 2 Carey then wants to combine like terms. Which are the terms Carey should combine?

Answer
A
4 plus 5 and 3 plus 2
B
8 x plus 2 x
C
negative 4 plus 5 and 3 plus 2
D
negative 4 plus 5 plus 3 plus 2

Explanation

After distributing, the equation is 8x − 4 + 5 = 3 + 2x + 2. Like terms have the same variable part, so Carey should combine the constants −4 and 5 on the left, and the constants 3 and 2 on the right. That matches choice C, “negative 4 plus 5 and 3 plus 2.”

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