Question

To reason about the value of x in 1/4(12x - 8) =10, Joy and Paulo each rewrite the equation. Joy rewrites the equation as 3x - 2 = 10. Paulo rewrites the equation as
12x - 8 = 40. What are their strategies? Explain your reasoning.

Answer 1

Answer:

For Joy:

Strategy: Multiply through by 4

For Paulo:

Strategy: Evaluate the bracket

Explanation:

Given

$\frac{1}{4}(12x - 8)=10$

Required:

Determine the strategies

For Joy:

Strategy: Multiply through by 4

$4 * \frac{1}{4}(12x - 8)=10 * 4$

$12x - 8 = 40$

Done

For Paulo:

Strategy: Evaluate the bracket

$\frac{1}{4}*12x - \frac{1}{4}*8=10$

$3x - 2 = 10$

Done