Question

Which student's expression has a coefficient of 1 when simplified?

Answer 1

Nate

Explanation:

Hunter 5(3x+2) +1 = 15x+10+1 = 15x+11

Michael 6x -1 +5x =11x-1

Nate 7+x+1 = 8+x

Spenser = 2x-2+2 = 2x

The coefficient is the number in front of the x

Nate has 1 in front of the x

Answer 2

C

Explanation:

When it's saying "coefficient of 1", it means that the variable x has a coefficient of 1. x that has a coefficient of 1 looks like: x.

Analyse each person:

- Hunter: 5(3x + 2) + 1 = 15x + 10 + 1 = 15x + 11 - no because the coefficient is 15, not 1.

- Michael: 6x - 1 + 5x = 11x - 1 - no because the coefficient is 11, not 1.

- Nate: 7 + (x + 1) = x + 8 - yes because we have x

- Spencer: (2x - 2) + 2 = 2x - 2 + 2 = 2x - no because the coefficient is 2, not 1

The answer is C.