How many solutions does the equation 4s + 8 = 3 + 5 + 4s have?

Two
None
One
Infinitely many
Question 3(Multiple Choice Worth 5 points)
(07.05 LC)

What is the value of x in the equation −x = 3 − 4x + 6?

−9
−3
3
9
Question 4(Multiple Choice Worth 5 points)
(07.06 LC)

Which statement is true about the equation fraction 3 over 4z − fraction 1 over 4z + 1 = fraction 2 over 4z + 1?

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.
Question 5(Multiple Choice Worth 5 points)
(07.03 LC)

How many solutions does the equation 6z − 3z − 7 = −2 + 3 have?

Two
None
Infinitely many
One
Question 6(Multiple Choice Worth 5 points)
(07.06 MC)

What is the solution to the equation 1.2m − 0.8 = −2.0m?

m = 0.25
m = 0.4
m = 1
m = 4
Question 7(Multiple Choice Worth 5 points)
(07.03 MC)

What is the value of z in the equation 2(4z − 9 − 7) = 166 − 46?

19
21
26
34
Question 8(Multiple Choice Worth 5 points)
(07.01 LC)

What is the value of x in the equation −6 + x = −2?

8
4
−4
−8
Question 9(Multiple Choice Worth 5 points)
(07.02 LC)

How many solutions does the equation −5a + 5a + 9 = 8 have?

None
One
Two
Infinitely many
Question 10(Multiple Choice Worth 5 points)
(07.05 MC)

Which of these is a simplified form of the equation 7y + 7 = 9 + 2y + 2y?

3y = 2
7y = 6
11y = 16
4y = 16
Question 11(Multiple Choice Worth 5 points)
(07.03 LC)

The steps below show the incomplete solution to find the value of m for the equation 4m − 2m + 4 = −1 + 13:

Step 1: 4m − 2m + 4 = −1 + 13
Step 2: 4m − 2m + 4 = 12
Step 3: 2m + 4 = 12

Which of these is most likely the next step?

2m = 3
2m = 8
2m = 16
2m = 18
Question 12(Multiple Choice Worth 5 points)
(07.05 HC)

The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:

Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6

In which step did the student first make an error and what is the correct step?

Step 2; 8x − 4 = 2(6 + x + 6)
Step 2; 8x − 16 = 16 + 2x
Step 3; 6x − 2x = 16 − 8
Step 3; 6x + 2x = 16 + 8