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OL Unit 3 Day 8 Quiz

Total questions: 91

Worksheet time: 23hrs 45mins

Name
Class
Date
1.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

2.

Solve: 9x + 1 = 64

a)

x = 6

b)

x = 7

c)

x = 8

d)

x = 9

3.

Match the following equations with their solutions.

a)

x = -5.5

1.

-2x + 18 = 2x + 40

b)

x = 6.5

2.

2x - 13 = 0

c)

x = -4.5

3.

-3x + 9 = 22.5

d)

x = 5.5

4.

4x - 22 = 0

4.

Match the following equations with their solutions.

a)

x = -8

1.

4x - 3 = 6x + 13

b)

x = 11

2.

5x + 6 = 6x - 5

c)

x = -11

3.

3x + 8 = 2x - 3

d)

x = 8

4.

4x - 3 = 6x - 19

5.

Match the following equations with their solutions.

a)

x = 12

1.

-10x + 40 = -80

b)

x = 4

2.

2x - 8 = 0

c)

x = -12

3.

-x - 24 = 0

d)

x = -4

4.

5x + 20 = 0

6.

Solve: 12x + 1 = 6x - 47, x = (a)  

Choose from the below words

x = 6

x = -7

x = -8

x = 9

7.

Solve: 3x + 16 = 7x + 64

a)

x = 10

b)

x = -10

c)

x = -11

d)

x = -12

8.

Solve: -3x + 20 = 2x - 40

a)

x = 15

b)

x = 12

c)

x = -15

d)

x = -12

9.

Solve: -7x - 14 = 49

a)

x = 8

b)

x = 9

c)

x = 11

d)

x = -9

10.

Solve: 14x + 16 = 13x - (a)  

Choose from the below words

x = 62

x = -65

x = -58

x = -47

11.

Solve: -9x + 2 = -43

a)

x = 6

b)

x = 5

c)

x = -5

d)

x = -6

12.

Solve: 11x - 44 = 9x - 20

a)

x = 12

b)

x = 32

c)

x = -12

d)

x = -32

13.

Solve: 5 + 12x = 5x + 47, x = (a)  

Choose from the below words

x = 5

x = 6

x = 7

x = 8

14.

Solve: 9 - 4x = 12x + 25

a)

x = 2

b)

x = 1

c)

x = -3

d)

x = -1

15.

Solve: -4x + 1 = 6x + 71

a)

x = -7

b)

x = -10

c)

x = 7

d)

x = 10

16.

Solve: -22 + 11x = 44

a)

x = 2

b)

x = -2

c)

x = -6

d)

x = 6

17.

Solve: 14x - 4 = 19x - 19

a)

x = -4

b)

x = 3

c)

x = 7

d)

x = -5

18.

Solve: 4x + 17 = 11x + 17

a)

x = 1

b)

x = 17

c)

x = -7

d)

x = 0

19.

Solve: 13x = -104

a)

x = -6

b)

x = -7

c)

x = -8

d)

x = -9

20.

Solve: 10x + 17 = 15x - 73, x = (a)  

Choose from the below words

x = -19

x = 18

x = -18

x = 19

21.

Match the following equations with their solutions.

a)

f = -5

1.

f - 10 = 5f + 15

b)

f = 5

2.

f - 4 = 6f + 26

c)

f = 6

3.

f + 2 = 4f - 10

d)

f = -6

4.

f + 6 = 2f + 18

22.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

23.

The solution to the equation
7x - 4 = 3 + 8x is (a)  

Choose from the below words

x = 7

x = -7

x = 2/7

x = 11

24.

14p - 8 = 22 + 20p

a)

p = -5

b)

p = 5

c)

p = 30

d)

p = -6

25.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. Which equation could you use to see when the two companies would charge the same amount?

a)

18x = 22x

b)

3x + 15 = x + 21

c)

15x + 3 = 21x + 1

d)

3x + 15 + 21x = 1

26.

Match the following equations with their solutions.

a)

k = 8

1.

-5k + 10 = -2k - 14

b)

k = -8

2.

-5k - 10 = -2k + 14

c)

k = 2

3.

5k + 10 = 2k + 14

d)

k = -2

4.

5k - 10 = 2k - 14

27.

7x = 4x + 33

a)

x = 3

b)

x = 11

c)

x = 21

d)

x = 88

28.

8w - 8 = -4w + 16

a)

w = 8

b)

w = 16

c)

w = 24

d)

w = 2

29.

Solve:
5y+34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

30.

Solve the equation
12x - 15 = 3(2x+3)

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

31.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same. (Use an equation to help solve the problem)

a)

3 hours

b)

4 hours

c)

1 hour

d)

2 hours

32.

Solve for x:

4(1-x) + 3x = -2x - 2

a)

x= -6

b)

x= 3

c)

x= 6

d)

x= -3

33.

Solve for x:

3 ( a + 22 ) = 12a + 30

a)

a = 8

b)

a = 2

c)

a = 4

d)

a = -2

34.

Solve for x:

3 ( x + 1 ) - 5 = 5x -2

a)

x = -1

b)

x = 0

c)

x = -2

d)

x = 1

35.

Solve for x:

2 ( x + 5 ) - 7 = 3 ( x - 2 )

a)

x = 6

b)

x = -14

c)

x = 9

d)

x = 28

36.

Solve for x:

-16 + 7n + n = 8n + 4n

a)

-4

b)

-14

c)

-16

d)

11

37.

Solve for x:

-6(2v + 4) = -8(v - 4)

a)

-8

b)

-13

c)

-14

d)

14

38.

Solve:
5y+34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

39.

2(x + 6) + 3 = 9 + 5x

a)

16

b)

2

c)

-8

d)

-10

40.

3y + 10.5 = 6.5 + 2.5y

a)

y = -8

b)

y = 4

c)

y = 8

d)

y = -4

41.
a)

x = 1

b)

x = 2

c)

x = 1/2

d)

x = 3/2

42.
a)

x = 5

b)

x = -45

c)

x = -5

d)

x = 4

43.
a)

x = 4/3

b)

x = 3/4

c)

x = 1

d)

x = 1/2

44.
a)

x = 13

b)

x = -13

c)

x = 12

d)

x = -15

45.
a)

x = 1

b)

x = 2

c)

x = 1/2

d)

x = 3/2

46.

Solve: 14y + 5 = 8y - 1

a)

y = 1

b)

y = -1

c)

y = 23\frac{2}{3}

d)

y = - 23\frac{2}{3}

47.

Solve for x

a)

3

b)

7

c)

-7

d)

3/5

48.

Which equation is represented by the balance scale?

a)

x - 1 = x + 5

b)

3x = 5x

c)

2x - 1 = x + 5

d)

2x - 1 = 5

49.

Write the equation for the model.

a)

2x - 2 = -x - 8

b)

-x - 2x = 2x - 8x

c)

-x - 2 = 2x - 8

50.

Write the equation for the model.

a)

3x + 1 = -x + 5

b)

-x + 1 = 3x + 5

c)

-x + x = 3x + 5x

51.

Write the equation for the model.

a)

2x + 7 = -3x + 2

b)

2x - 2 = 3x - 7

c)

2x + 2 = -3x + 7

52.

Write the equation for the model.

a)

2x + 3 = x + 1

b)

2x + 1 = x + 3

c)

2x - 1 = x - 3

53.
a)

-x - 4 = 2x + 2

b)

-x - 2 = 2x - 4

c)

-x + 2 = 2x - 4

54.

Write the equation for the model.

a)

5x + 5 = 3x + 1

b)

5x - 1 = 3x + 5

c)

5x + 1 = 3x + 5

55.

Write the equation for the model.

a)

3x - 7x = 2x + 5x

b)

3x + 5 = 2x - 7

c)

3x - 7 = 2x + 5

56.

3 ( a + 22 ) = 12a + 30

a)

a = 8

b)

a = 2

c)

a = 4

d)

a = -2

57.

4(2a + 3) = −3(a − 1) + 31

a)

a = 4

b)

a = -2

c)

a = -4

d)

a = 2

58.

-15 = 5a +12- 2a + 6

a)

-11

b)

-3

c)

10

d)

7

59.

-8(-8x - 6) = -6x - 22

a)

2/5

b)

-1

c)

8/7 

d)

2

60.

22 + 2a = 37 + 6 + a

a)

21

b)

-21

c)

5

d)

6

61.

5(4x  2) = 2(3 +6x)-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)  

a)

x = 2x\ =\ 2  

b)

x = .5x\ =\ .5  

c)

x = 2x\ =\ -2  

d)

x = .5x\ =\ -.5  

62.
Solve the equation:
3x - x + 2 = 4(2x - 1)
a)

x = 7

b)
x = 1
c)
x = -1
d)

x = -3

63.

5(2x + 6) = 4(5 2x)+ 3x5\left(2x\ +\ 6\right)\ =\ -4\left(-5\ -2x\right)+\ 3x  

a)

x =20x\ =-20  

b)

x = 20x\ =\ 20  

c)

x =10x\ =-10  

d)

x = 10x\ =\ 10  

64.
-(8n - 2) = 3 + 10(1 - 3n)
a)
n = 1/2
b)
n = -1/2
c)
n = 2
65.

(3v+1)+7(6v+6)=37-\left(3v+1\right)+7\left(6v+6\right)=-37  

a)

44  

b)

00  

c)

22  

d)

2-2  

66.
y + x + y + y + x 
a)
2 + 3 
b)
x + y 
c)
2x + 3y 
d)
5xy 
67.
2r + 2 + 5r - 2 + r 
a)
8r 
b)
8r - 4 
c)
12r 
d)
7r + 4 + r 
68.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
69.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
70.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
71.
-2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
72.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
73.
Simplify the following expression:
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
74.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
75.

Simplify by combining like terms:

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x2

76.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
77.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
78.

What is the simplified version of this expression? 4(8r+3)-4(8r+3)  

a)

32r12-32r-12  

b)

32r1232r-12  

c)

32r+12-32r+12  

d)

32r+1232r+12  

79.

What is the simplified version of this expression? 7(5x1)7\left(5x-1\right)  

a)

35x+735x+7  

b)

35x135x-1  

c)

35x735x-7  

d)

35x7-35x-7  

80.

What is the simplified version of this expression? 5(a+6)5(a+6)  

a)

5a+65a+6  

b)

a+30a+30  

c)

5a+305a+30  

d)

5a305a-30  

81.
a)
35x+7
b)
35x-1
c)
35x-7
d)
-35x-7
82.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

83.
Simplify the expression
11(9 + d)
a)
99 + d
b)
20 + 9d
c)
20 + d
d)
99+11d
84.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
85.
Simplify the expression:
3(2h + 3c + 2)
a)
6h + 9c + 2
b)
6h + 9c + 6
c)
2h + 3c + 6
d)
5h + 6c + 5
86.

Solve for x.

87.

What is the solution to 10 − 3(m − 5) = 2(5 − m)?

88.
Solve for x.
89.

Solve the equation below. Show the steps that lead to your final solution.

90.

​ (a)   ​ ​ (b)   ​ (c)   ​ ​ (d)   ​ (e)  

Choose from the below words
5x
-
+
4
\le

==  

10
14
x
5
91.

The model represents an equation. What is the solution to the equation? ​ (a)  

Choose from the below words
-3
3
7
-7