Question

Multiple choice

Miss Houk asked her math class to solve the following
equation:4(2x+2)-2(x+2)=10-3(x+2) She notices that students used different strategies for their first steps. Which of the students wrote a correct first step in solving the equation

A Lynden used the distributive property 8X+8-2X-4=10-3X-6


B Whitney used the distributive property 8X+8-2x+4=10-
3x+2

C David combined like terms on the right side of the
equation 4(2x+2)-2(x+2)=7(x+2)

Answer 1

A. Lynden used the distributive property 8X+8-2X-4=10-3X-6

Explanation:

Lynden did the work properly.

Whitney misapplied the distributive property computing -2(x+2). She failed to apply the minus sign to the product of -2 and 2.

David failed to understand the order of operations: multiplication comes before addition, so the product -3( ) needs to be computed before any addition involving 10.