10
practice testMultiple Choice

Practice Test

Question 10 • Grade 7 Mathematics

Jada is solving the following equation. negative 1 half times open paren x plus 4 close paren is equal to 6 Which is a possible first step to begin to simplify the equation? Choose two correct answers.

Answer
A
Distribute negative 2 over open paren x plus 4 close paren .
B
Multiply both sides of the equation by negative 2 .
C
Subtract 4 from both sides of the equation.
D
Divide both sides of the equation by negative 2 .
E
Distribute negative 1 half over open paren x plus 4 close paren .

Explanation

You can multiply both sides by −2 to cancel the coefficient −1/2, giving x + 4 = −12. You can also distribute −1/2 across the parentheses, giving −1/2x − 2 = 6. Both are valid first steps that simplify the equation; distributing −2 is not valid because −2 is not the factor shown.

AI-written and checked against the verified answer.

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