9
QuizMultiple Choice

Equations in One Variable — Quiz

Question 9 • Integrated Math II CR SUSD (EX)

Carina begins to solve the equation negative 4 minus 2 thirds x is equal to negative 6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true? Choose three correct answers.

Answer
A
After adding 4 to both sides, the equation is negative 2 thirds x is equal to negative 10 .
B
The equation can be solved for x using exactly one more step by dividing both sides by negative two thirds .
C
The equation can be solved for x using exactly one more step by multiplying both sides by negative 3 halves .
D
The equation can be solved for x using exactly one more step by multiplying both sides by negative 2 thirds .
E
After adding 4 to both sides, the equation is negative 2 thirds x is equal to negative 2 .

Explanation

Adding 4 to both sides gives −(2/3)x = −2, so statement A is correct; the right side is −2, not −10. To isolate x, divide both sides by −2/3, or equivalently multiply both sides by its reciprocal, −3/2. Thus C and E are also correct, while multiplying by −2/3 would not isolate x.

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