Question

PLEASE HELP WITH QUIZ!

1. What is the value of x in the following equation 5x - x =32
A 8
B 7 1/2
C 4
D 16

2. In the equation, 8 x - 11 = -2x + 15 - 5, what are some of the steps that should be taken to solve for x? Select all that apply.
A Subtract 11 from both sides of the equation.
B Combine like terms.
C Divide both sides of the equation by 10.
D Divide both sides of the equation by 6.

3 What is the value of a in the following equation: - a = 3a + 8 ?A
A 2
B 4
C -2
D -4

4 What is the value of x in the following equation: -2x + 6 = 4x
A1
B 6
C -1
D none of these

5 What is the value of m in the following equation: 15 - 3.7m = 12.84 - 2.5m
A 8.1
B 1.8
C 3.7
D 2.5

6 What is the value of x in the following equation: 0.75x + 3 = 4.5

A 2
B 4
C 6
D 8

7 What is the value of m in the following equation: 5 (3m - 2 + 4m) = 5m + 62 - 6m ?

A = 3
B m = -4
C m = - 1/2
D m = 2

8 What is the value of m in the following equation: 3 (2m - 9 + 6m =3m + 29 - 7m ?

A -3
B 2
C 5
D 120

Answer 1

1= 8
2 = B, C
3 = C
4 =A
5 =D
6 =A
7 =C
8 =C

Answer 2

1). A

2). B and C

3). C

4). A

5). B

6). A

7). D

8). B

Explanation:

1. 5x - x = 32

4x = 32

x =
`(32)/(4)`

x = 8

Option A. is the answer.

2. 8x - 11 = -2x + 15 - 5

8x + 2x = 15 - 5 + 11

10x = 21

x =
`(21)/(10)`

x = 2.1

Options B and C are the correct options.

3). -a = 3a + 8

-a - 3a = 8

-4a = 8

a = -
`(8)/(4)`

a = -2

Option C. is the answer.

4). -2x + 6 = 4x

6 = 4x + 2x

6 = 6x

x = 1

Option A. is the answer.

5). 15 - 3.7m = 12.84 - 2.5m

15 - 12.84 = 3.7m - 2.5m

2.16 = 1.2m

m =
`(2.16)/(1.20)`

m = 1.8

Option B is the answer.

6). 0.75x + 3 = 4.5

0.75x = 4.5 - 3

0.75x = 1.5

x =
`(1.5)/(0.75)`

x = 2

Option A is the answer.

7). 5(3m - 2 + 4m) = 5m + 62 - 6m

15m - 10 + 20m = 5m - 6m + 62

15m + 20m - 5m + 6m = 10 + 62

36m = 72

m =
`(72)/(36)`

m = 2

Option D. is the answer.

8). 3(2m - 9 + 6m) = 3m + 29 - 7m

6m - 27 + 18m = 3m - 7m + 29

24m - 27 = -4m + 29

24m + 4m = 29 + 27

28m = 56

m =
`(56)/(28)`

m = 2

Option B. is the answer