Question

1.

What is the value of b in the equation b + 8 = 13? (4 points)


5
8
13
21
2.
How many solutions can be found for the equation 3x – 2 = 3x + 5? (4 points)


Zero
One
Two
Infinitely Many
3.
What is the value of q in the equation 5q – 10 = 75? (4 points)


17
60
65
85
4.
What is the value of t in the equation 3(2t + 5) = 5t + 25? (4 points)


5
6
10
35
5.
The steps below show the incomplete solution to find the value of x for the equation 6x – 2x – 5 = –6 + 21:

Step 1: 6x – 2x – 5 = –6 + 21

Step 2: 6x – 2x – 5 = 15

Step 3: 4x – 5 = 15Which of these is most likely the next step? (4 points)


4x = 10
4x = 3
4x = 45
4x = 20
6. Asher solved the equation below:

4x = 64
4x – 4 = 64 – 4
x = 60

Is Asher's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (5 points)



7.
An equation is shown below:

5(2x - 8) + 15 = -15

Write the steps you will use to solve the equation and explain each step. (5 points)

Answer 1

Question 1:

b + 8 = 13

b = 13 - 8

b = 5

Hence, the answer is A.

Question 2:

3x – 2 = 3x + 5

3x - 3x -2 = 5

-2 ≠ 5

Hence, the answer is A.

Question 3:

5q – 10 = 75

5q = 75 + 10

5q = 85

q =
`(85)/(5)`

q = 17

Hence, the answer is A.

Question 4:

3(2t + 5) = 5t + 25

6t + 15 = 5t + 25

6t - 5t = 25 - 15

t = 10

Hence, the answer is C.

Question 5:

6x – 2x – 5 = –6 + 21

4x = 15 + 5

4x = 20

x =
`(20)/(4)`

x = 5

Hence, the answer is D.

Question 6:

4x = 64

x =
`(64)/(4)`

x = 16

Hence, Asher is wrong. You have to divide by 4 not subtract by 4.

Question 7:

5(2x - 8) + 15 = -15

10x - 40 + 15 = -15

10x - 25 = - 15

10x = -15 + 25

10x = 10

x =
`(10)/(10)`

x = 1