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

For Joy:

Strategy: Multiply through by 4

For Paulo:

Strategy: Evaluate the bracket

Step-by-step explanation:

Given

`(1)/(4)(12x - 8)=10`

Required:

Determine the strategies

For Joy:

Strategy: Multiply through by 4

`4 * (1)/(4)(12x - 8)=10 * 4`

`12x - 8 = 40`

Done

For Paulo:

Strategy: Evaluate the bracket

`(1)/(4)*12x - (1)/(4)*8=10`

`3x - 2 = 10`

Done