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Worksheets

March 8th

Total questions: 117

Worksheet time: 5hrs 53mins

Name
Class
Date
1.
Factor
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
2.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
3.

Factor:

5x3 - 7x2

a)

x2(5x - 7)

b)

x(5x2 - 7x)

c)

x3(5 - 7x)

d)

Prime

4.

Factor: 25x2 - 9

a)

(5x + 3)(5x - 3)

b)

(x + 5)(x - 3)

c)

(x - 3)(x + 5)

d)

(5x + 3)(3x + 5)

5.
Factor:
x2 + 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x + 6)(x - 4)
d)
(x + 12)(x - 2)
6.
Factor:
x2 - 10x + 24
a)
(x - 6)(x - 4)
b)
(x + 6)(x + 4)
c)
(x - 12)(x + 2)
d)
(x - 8)(x - 3)
7.
What are the factors of x2+3x-40
a)
(x+10)(x-4)
b)
(x+8)(x-5)
c)
(x+20)(x-2)
d)
(x+1)(x-3)
8.
Factor:
24c5 - 12c3
a)
6(4c5 - 2c3)
b)
12c3(2c2)
c)
12c3(2c2 - 1)
d)
12c3(2c2 - 0)
9.
Factor d2 - 10d + 25
a)
(d + 5) (d - 5)
b)
(d - 15) (d + 10)
c)
(d + 5) (d - 20)
d)
(d - 5) (d - 5)
10.
Factor:  6x2 + 9x
a)
(6x + 1)(x + 3)
b)
(3x + 1)(2x + 3)
c)
3x(2x + 3)
d)
6x(x + 3)
11.
   Factor:
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
12.
Factor:
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
13.
Find GCF 15n3+25n2
a)
5
b)
15n
c)
5n2
d)
5n
14.
Factor:
5x3-7x2
a)
x2(5x-7)
b)
x(5x2-7x)
c)
x3(5-7x)
d)
Prime
15.
Factor: 49x2 - 100
a)
(49x + 100)(x - 1)
b)
(7x - 10)(7x + 10)
c)
(49x - 10)(x + 10)
d)
(7x -10)(7x - 10)
16.

x2+4x-32=0

a)

x= -8, 4

b)

x= 8, -4

c)

x= -8, -4

17.
a)
A
b)
B
c)
C
d)
D
18.
What are the factors of x2-8x-48
a)
(x-12)(x+4)
b)
(x+12)(x-4)
c)
(x+12)(x+4)
d)
(x-12)(x-4)
19.
Find the factors of x2-81
a)
(x-9)(x+9)
b)
(x+9)(x+9)
c)
(x-9)(x-9)
d)
Can't be factored
20.

Factor:

5x2 + 20

a)

5(x + 4)

b)

5x(x + 4)

c)

5(x2 + 4)

d)

5x2(x + 4)

21.
Simplify:
[25-(13+4)+4] ÷ 3
a)
6
b)
2
c)
3
d)
4
22.
Solve the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
23.
(7 + 41) ÷ 2 – 15
a)
19
b)
9
c)
25
d)
3
24.
18 + (6 – 2) × 2
a)
26
b)
29
c)
44
d)
40
25.
(82 ÷ 2) × 3 – 17
a)
206
b)
100
c)
106
d)
5
26.
15 + 7 × 2 – 11 + 35=
a)
38
b)
251
c)
53
d)
50
27.
15 x 19 + 18 ÷ 6 = 
a)
250
b)
199
c)
400
d)
288
28.
40 - 24 + 8
a)
40
b)
32
c)
24
d)
42
29.
2 + (92 - 4)
a)
16
b)
77
c)
79
d)
88
30.

Find and explain the error.

5 - 3 + 2

5 - 5

0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

They added wrong numbers

d)

Multiplied worng

31.
4 + 9 + 8 ÷ 4
a)
5.25
b)
5
c)
25
d)
15
32.
2x + 5(y - 1) when x=8 and y=5
a)
20
b)
31
c)
36
d)
-4
33.

In PEMDAS, what does the M stand for?

a)

Masterful

b)

McDonald

c)

Math

d)

Multiplication

34.
2 + (92 - 4)
a)
16
b)
77
c)
79
35.
Simplify.
3[(4 + 6) ÷ 2]
a)
15
b)
21
c)
9
d)
12
36.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
37.
112 - 8 ⋅ 7 + 2
a)
100
b)
793
c)
67
d)
49
38.
7[12 − (6 − 2) ÷ 4]
a)
7
b)
77
c)
14
d)
0
39.
4 + 9 + 8 ÷ 4
a)
5.25
b)
5
c)
25
d)
15
40.
8 ÷ 8 + 6 × 2
a)
8
b)
13
c)
14
d)
23
41.
8 + 7 × 3 – 8
a)
37
b)
21
c)
10
d)
30
42.

9 + 9 ÷ 9 + 9

a)

36

b)

19

c)

9

d)

1

43.
4 + 6 ÷ 2 + 5
a)
13
b)
12
c)
11
d)
10
44.
4 + 2 + 6 ÷ 1
a)
14
b)
13
c)
12
d)
11
45.
8 ÷ 2 × 8 + 8
a)
32
b)
8.5
c)
24
d)
40
46.
88 ÷ 44 + 44 ÷ 22
a)
22
b)
44
c)
2
d)
4
47.
21 × 3 + 21 × 7
a)
3528
b)
210
c)
441
d)
320
48.
91 + 27 ÷ (72 ÷ 24)
a)
100
b)
96
c)
90
d)
127
49.
In a problem containing addition and subtraction, which operation comes first?
a)
Addition
b)
Subtraction
c)
Depends
50.
What operation comes first?
7-(2+3)÷5?
a)
Subtraction
b)
Addition
c)
Division
d)
Multiplication
51.
What operation comes first and WHY?
(8x7-6)÷30
a)
Multiplication, because it is inside the parenthesis
b)
Multiplication, because you read left to right
c)
Division, because it comes first alphabetically
d)
Subtraction, because it's easy and gives the answer 1
52.
Paul rode his bike 6 miles on Tuesday.  He rode two times farther on Thursday.  How far did he ride on Thursday?
a)
8 miles
b)
4 miles
c)
6 miles
d)
12 miles
53.
Kelly had 15 pieces of gum.  He chewed 8 pieces.  Which is the best equation to show how many he had left?
a)
15 + 8 = 23
b)
15 x 8 = 120
c)
15 - 8 = 7 
d)
15 - 7 = 9 
54.
A fishing boat is 25 feet long.  A steam boat is 89 feet long.  How much longer is the the steam boat?
a)
64
b)
114
c)
2,225
d)
63
55.
The new Disney movie is 144 minutes.  The old Disney movie was 189 minutes long.  How much longer was the old movie?
a)
333 minutes
b)
45 minutes
c)
35 minutes
d)
323 minutes
56.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
57.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
58.
Given h(x) = 5 - 9x, find h(8). 
a)
h(8) = -360
b)
h(8) = -67
59.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
60.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
61.
Evaluate f(-2) if f(x) = x + 3
a)
-1
b)
1
c)
5
d)
-5
62.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
63.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
64.
Let w(x) = 3x - 7. If w(x) = 14, find x.
a)
7
b)
35
c)
2.33333
d)
-49
65.
If f(x) = x - 5, what is the value of x when f(x) = 15?
a)
20
b)
10
c)
5
d)
0
66.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

67.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

68.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

69.

If f(x) = -3x - 8, find f(-1).

a)

f(-1) = 5

b)

f(-1) = -5

c)

f(-1) = -12

d)

f(-1) = -10

70.

If f(x) = 6x - 9, find f(4).

a)

(4, 1)

b)

(4, 33)

c)

(4, 15)

d)

(4, -7)

71.
g(x) = 3x + 1
g(2) = _______
a)
6
b)
7
c)
8
d)
9
72.
f(x) = x2 + 7
x(2) = ______
a)
10
b)
11
c)
13
d)
12
73.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
74.
a)

6

b)

-6

c)

14

d)

-14

75.
a)

16

b)

48

c)

-28

d)

4

76.
a)

-67

b)

67

c)

77

d)

-77

77.
a)

-12

b)

-43

c)

29

d)

-29

78.
a)

-20

b)

20

c)

-24

d)

24

79.
a)

1

b)

-1

c)

19

d)

-19

80.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
81.

Given the function f(x)=2x+1, find f(4).

a)

8

b)

3/2

c)

2/3

d)

9

82.

Let g(x)=9x+24, find g(3).

a)

3

b)

33

c)

51

d)

-2.66

83.
Complete the function notation below
f(____) = 214
a)
1990
b)
1991
c)
1989
d)
1994
84.

Which three statements about the function are true?

a)

g(1) = -1

b)

g(0) = 0

c)

g(4) = -2

d)

g(1) = 1

e)

g(-1) = 1

85.

8 + x = 10

a)

18

b)

2

c)

10

d)

8

86.

4 = 2 + x

a)

6

b)

2

c)

8

d)

4

87.

w - 13.7 = 22.8

a)

36.5

b)

9.1

c)

11.1

d)

42.5

88.

n + 25\frac{2}{5} =  45\frac{4}{5}  

a)

65\frac{6}{5}  

b)

25\frac{2}{5}  

c)

1151\frac{1}{5}  

d)

2

89.

16 = m - 14

a)

30

b)

2

c)

20

d)

12

90.

5x = 10

a)

50

b)

2

c)

5

d)

15

91.

6x = 6

a)

36

b)

1

c)

12

d)

0

92.

6 = 3x

a)

2

b)

18

c)

3

d)

9

93.

3v = 18

a)

6

b)

16

c)

15

d)

54

94.

21 = 3x

a)

7

b)

18

c)

24

d)

63

95.

z16=8\frac{z}{16}=8  

a)

128

b)

2

c)

24

d)

100

96.

a14=6.8\frac{a}{14}=6.8  

a)

2.058

b)

20.8

c)

7.2

d)

95.2

97.

35=23t\frac{3}{5}=\frac{2}{3}t  

a)

910\frac{9}{10}  

b)

615\frac{6}{15}  

c)

110\frac{1}{10}  

d)

115\frac{1}{15}  

98.

Solve |x|= 9

a)

x = 9

b)

x = -9 or x = 9

c)

No Solution

d)

x = -9

99.

|x|= 2.25

a)

x = -2.25 or x = 2.25

b)

x = -2 or x = 2

c)

No Solution

d)

x = 2.25

100.

|x - 6|= 14

a)

x = 8

b)

x = 20

c)

x = -8 or x = 20

d)

No Solution

101.

|x + 1| = 8

a)

x = -7 or x = 9

b)

x = -9 or x = 7

c)

x = 7

d)

No Solution

102.

|2x - 3| = 15

a)

x = -6 or x = 9

b)

x = -9 or x = 6

c)

x = 9

d)

No Solution

103.

|4x +1| = 15

a)

x = 72x\ =\ \frac{7}{2}

b)

No Solution

c)

x = -4 or x = 4

d)

x = -4 or

x = 72x\ =\ \frac{7}{2}

104.

|7x + 2| = 23

a)

x = −25 7 or x = 3x\ =\ -\frac{25\ }{7}\ or\ x\ =\ 3

b)

x = −3 or x = 257x\ =\ -3\ or\ x\ =\ \frac{25}{7}

c)

x = 3x\ =\ 3

d)

No Solution

105.

∣5−2x∣=9\left|5-2x\right|=9  

a)

No Solution

b)

x = −7 or x = 2x\ =\ -7\ or\ x\ =\ 2   

c)

x = −2 or x = 7x\ =\ -2\ or\ x\ =\ 7  

d)

x = −2x\ =\ -2  

106.

∣10−2x∣=−4\left|10-2x\right|=-4  

a)

x=3 or x = 7x=3\ or\ x\ =\ 7  

b)

No Solution

c)

x=−3 or x =7x=-3\ or\ x\ =7  

d)

x = −7 or x = 3x\ =\ -7\ or\ x\ =\ 3  

107.

∣2x−2∣=6\left|2x-2\right|=6  

a)

x=4x=4  

b)

No Solution

c)

x = −2 or x=4x\ =\ -2\ or\ x=4  

d)

x = −4 or x = 2x\ =\ -4\ or\ x\ =\ 2  

108.
a)
x > - 4 or y < 24
b)
  - 4 < y < 24
c)
   4 < y < 24
d)
x > 24 or x < - 4
109.

Solve the inequality.

a)

4 < y < 18

b)

- 7 < y < 4

c)

- 4 < y < 24

d)

-2 < y < 18

110.
a)
x > 2 or x < 6
b)
x > 6 or x < 2
c)
- 2 < x < 6
d)
x > 9 or x < 20/7
111.
a)
- 7 < y < 3
b)
- 8 < y < 4
c)
- 7 < y < - 3
d)
- 8 < y < - 4
112.
a)
- 1/2 ≤ z ≤ 5/2
b)
1/2 ≤ z ≤ 5/2
c)
z ≥ 1/2 or z ≤ 5/2
d)
z ≤ 1/2 or z ≥ 5/2
113.
a)
- 1/3 < n or n > 5/3
b)
-1/3 < n < 5/3
c)
1/3 < n < 5/3
d)
n < -5/3 or n > 1/3
114.
a)
x > 11 or x < 5
b)
x > - 11 or x > 5
c)
5 < x < 11
d)
- 5 < x < 11
115.
a)
Infinite solutions
b)
- 2 ≤ x ≤ - 7 
c)
No Solution
d)
-7/3 ≤ x ≤ -3/7
116.
a)
- 4 ≤ x ≤ 6
b)
x ≥ - 4 or x ≤ 6
c)
x ≥ 4 or x ≤ - 6
d)
- 4 ≤ x ≤ - 6
117.
a)
- 6 < x < 26/5
b)
- 6 < x < 25
c)
x < - 6 or x > 26/5
d)
x > - 6 or x < 26/5