Question

Jada is solving the equation shown below. Negative one-half (x + 4) = 6 Which is a possible first step to begin to simplify the equation? Select two options. Divide both sides of the equation by –2. Subtract 4 from both sides of the equation. Multiply both sides of the equation by –2. Distribute –2 over (x + 4). Distribute Negative one-half over (x + 4).

Answer 1

• C. Multiply both sides of the equation by –2
• E. Distribute Negative one-half over (x + 4)

Explanation:

Given equation:

• - 1/2(x + 4) = 6

Solving with steps

Scenario 1

• - 1/2(x + 4) * (-2) = 6 * (- 2)
• x + 4 = - 12
• x = - 12 - 4
• x = - 16

Scenario 2

• - 1/2(x) - 1/2(4) = 6
• - 1/2x - 2 = 6
• - 1/2x = 6 + 2
• - 1/2x = 8
• x = 8 * (- 2)
• x = - 16

Correct choices are C and E