1.

what is the value of r in the equation 4r – 8 = 5r + 12? (4 points)

–20

–1

1

20

2.

which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y? (4 points)

5y = 2

5y = 10

11y = 2

11y = 10

3.

what is the value of n in the equation 3n + 2(n + 2) = 9n + 12? (4 points)

–4

–2

2

4

4.

how many solutions can be found for the equation –4x – 11 = 2(x – 3x) + 13? (4 points)

none

one

two

infinitely many

5.

the work of a student trying to solve the equation 2(2x – 3) = 6 + 2x + 4 is shown below:

step 1: 2(2x – 3) = 6 + 2x + 4

step 2: 4x – 3 = 10 + 2x

step 3: 4x – 2x = 10 + 3

step 4: 2x = 13

step 5: x = 6.5

in which step did the student first make an error and what is the correct step? (4 points)

step 2: 4x – 6 = 10 + 2x

step 2: 4x – 3 = 2 + 2x

step 3: 4x + 2x = 10 + 3

step 3: 4x – 2x = 10 - 3