3
QuizMultiple Choice

Linear Equations — Test

Question 3 • Mathematics 8

Katrina is solving the equation x minus 2 times open paren x plus 3 close paren is equal to 4 times open paren 2 x plus 3 close paren minus open paren x plus 4 close paren Which equivalent equations might Katrina use? Choose two correct answers.

Answer
A
negative x minus 6 is equal to 7 x plus 8
B
x minus 2 x plus 3 is equal to 8 x plus 3 minus x plus 4
C
x minus 2 x minus 6 is equal to 8 x plus 12 minus x plus 4
D
x minus 2 x minus 6 is equal to 8 x plus 12 minus x minus 4
E
x minus 2 x plus 6 is equal to 8 x plus 12 minus x plus 4
F
negative x plus 6 is equal to 7 x plus 16
G
negative x minus 6 is equal to 7 x plus 16
H
negative x plus 3 is equal to 7 x plus 7

Explanation

Distribute −2 across (x + 3) to get x − 2x − 6. On the right, distribute 4 and then subtract both terms in (x + 4): 8x + 12 − x − 4, which gives choice D. Simplifying both sides gives −x − 6 = 7x + 8, which is choice A.

AI-written and checked against the verified answer.

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