Question

1.

How many solutions does the equation 5x + 10 = 5x –8 have? (4 points)


Zero
One
Two
Infinitely many
2.
What is the value of y in the equation 2(4y –1) = 6? (4 points)


0
1
6
8
3.
The steps below show the incomplete solution to find the value of x for the equation

6x + 10 –4x = –4 –11:

Step 1: 6x + 10 –4x = –4 –11

Step 2: 6x + 10 –4x = –15

Step 3: 2x + 10 = –15

Which of these is most likely the next step? (4 points)


2x = 5
2x = –25
2x = 25
2x = 150
4.
What is the value of x in the equation 2(2x –5 –4) = 160 –17? (4 points)


40.25
62.25
80.25
143.0
5.
What is the solution to the following equation?

2(3x –7) + 18 = 10 (4 points)


1
3
5
6

Answer 1

The answer is A: 0

Explanation:

Answer 2

Question 1:

5x + 10 = 5x –8

5x - 5x + 10 = -8

10 ≠ -8

Hence, the answer is A.

Question 2:

2(4y –1) = 6

8y - 2 = 6

8y = 6 + 2

8y = 8

y =
`(8)/(8)`

y = 1

Hence, the answer is B.

Question 3:

6x + 10 –4x = –4 –11

2x = -15 -10

2x = -25

x =
`(-25)/(2)`

x = -12.5

Hence, the answer is B.

Question 4:

2(2x –5 –4) = 160 –17

4x -10 -8 = 143

4x -18 = 143

4x = 143 + 18

4x = 161

x =
`(161)/(4)`

x = 40.25

Hence, the answer is A.

Question 5:

2(3x –7) + 18 = 10

6x - 14 + 18 = 10

6x + 4 = 10

6x = 10 -4

6x = 6

x =
`(6)/(6)`

x = 1

Hence, the answer is A.