What is the value of z in the equation 3z + 5 = 4z − 8? (4 points)

a
−13

b
−1

c
1

d
13

Question 2 (4 points)
(07.05)

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

a
5y = 2

b
5y = 10

c
11y = 2

d
11y = 10

Question 3 (4 points)
(07.05)

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

a
−4

b
−2

c
2

d
4

Question 4 (4 points)
(07.05)

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

a
None

b
One

c
Two

d
Infinitely many

Question 5 (4 points)
(07.05)

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)

a
Step 2: 4x − 6 = 10 + 2x

b
Step 2: 4x − 3 = 2 + 2x

c
Step 3: 4x + 2x = 10 + 3

d
Step 3: 4x − 2x = 10 - 3