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Worksheets

Exam Review!

Total questions: 110

Worksheet time: 5hrs 30mins

Name
Class
Date
1.

Simplify:

(3xy)(2x3y)\left(3xy\right)\left(2x^3y\right)  

(Remember:  Multiply coefficients and add exponents.)

a)

5x4y5x^4y  

b)

6x4y26x^4y^2  

c)

6x3y6x^3y  

2.
Simplify the expression. 
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
3.
Simplify (c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
4.
Simplify   (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
5.
Simplify the expression.
(x4 )(x12)
a)
x3
b)
x48
c)
x16
d)
x8
6.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
7.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
8.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
9.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
10.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
11.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function 
12.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
13.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
14.
-6x = 18
a)
3
b)
-3
c)
6
d)
-6
15.
3y = -15
a)
-5
b)
5
c)
-3
d)
3
16.
12x = 144
a)
x = 12
b)
x = 4
c)
x = 2
d)
x = 132
17.
2b = -16
a)
8
b)
4
c)
-8
d)
3
18.

j(j9)=0j\left(j-9\right)=0  

a)

j=0, j=9j=0,\ j=9  

b)

j=0, j=9j=0,\ j=-9  

c)

j=9j=9  

d)

j=9j=-9  

19.

(u2)(u+8)=0\left(u-2\right)\left(u+8\right)=0  

a)

u=2, u=8u=2,\ u=-8  

b)

u=2, u=8u=-2,\ u=8  

c)

u=2, u=8u=2,\ u=8  

d)

u=2, u=8u=-2,\ u=-8  

20.

(h+8)(h+5)=0\left(h+8\right)\left(h+5\right)=0  

a)

h=8, h=5h=-8,\ h=-5  

b)

h=8, h=5h=8,\ h=5  

c)

h=8, h=5h=-8,\ h=5  

d)

h=8, h=5h=8,\ h=-5  

21.

(c+6)(c7)=0\left(c+6\right)\left(c-7\right)=0  

a)

c=6, c=7c=-6,\ c=7  

b)

c=6, c=7c=6,\ c=-7  

c)

c=6, c=7c=6,\ c=7  

d)

c=6, c=7c=-6,\ c=-7  

22.

(2q+1)(q9)=0\left(2q+1\right)\left(q-9\right)=0  

a)

q=12, q=9q=-\frac{1}{2},\ q=9  

b)

q=12, q=9q=\frac{1}{2},\ q=-9  

c)

q=12, q=9q=-\frac{1}{2},\ q=-9  

d)

q=12, q=9q=\frac{1}{2},\ q=9  

23.

What is the leading coefficient of:

5x2+x-4

a)

5

b)

1

c)

-4

d)

-5

24.

Write the polynomial in standard form.
5y42y+9y25-y^4-2y+9y^2  

a)

5y42y+9y25-y^4-2y+9y^2  

b)

y4+9y22y+5-y^4+9y^2-2y+5  

c)

y4+9y22y+5y^4+9y^2-2y+5  

d)

9y2+52yy49y^2+5-2y-y^4  

25.

What is the degree of the monomial

6x3y2

a)

5

b)

3

c)

6

d)

1

26.

What is the degree of the polynomial

3x4 + 2x2 + 5x ?

a)

1

b)

2

c)

3

d)

4

27.

What type of polynomial is

3x4 + 2x2 + 5x ?

a)

monomial

b)

binomial

c)

trinomial

28.
Which of the following is a 5th degree trinomial with a leading coefficient of -2? 
a)
-2x5 + 3x - 1
b)
5x-2 +3x - 1
c)
-2x5 + 3x4 + 2x3 + x2 - 10
d)
2x + 5
29.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
30.
Classify by the DEGREE:
2x2 - 5
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
31.
Classify by number of terms:
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
32.

What is the degree of this polynomial?

2x4-3x5+x

a)

-3

b)

2

c)

4

d)

5

33.
Which polynomial is written in standard form?
a)
-3x + 8x2 + 9x3 - 11
b)
9x3 + 8x- 3x - 11
c)
8x+ 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
34.
Is this expression in Standard Form?
6w2 - 9w3
a)
Yes
b)
No
35.

x + 4 is a...

a)

Monomial

b)

Binomial

c)

Trinomial

36.

x2 - 7y + 8z3 is a...

a)

Trinomial

b)

Monomial

c)

Binomial

37.

x + 7 is a...

a)

Monomial

b)

Trinomial

c)

Binomial

38.

5x2y4z2 is a...

a)

Binomial

b)

Monomial

c)

Trinomial

39.

Which among the following is an expression?

a)

2x + 3y = 7

b)

42 + 4xy

c)

2x = 2xc

d)

3xy (4x + 1) = 3z

40.

Which symbol is present in every equation?

a)

x

b)

+

c)

-

d)

=

41.

What is a variable?

a)

It's a number equation.

b)

A letter representing an unknown number in an equation.

c)

The symbols in an equation that aren't letters or numbers.

d)

Any equation with an equals sign.

42.

What property of equality is shown below?

y - 6 = 20

y - 6 + 6 = 20 + 6

a)

addition property of equality

b)

subtraction property of equality

c)

multiplication property of equality

d)

division property of equality

43.
Which property of real numbers justifies the work shown from Step 1 to Step 2?
a)
Distributive Property
b)
Commutative Property
c)
Identity Property
d)
Associative Property
44.

Which property justifies the work in solving this equation?

a)

Addition Property of Equality

b)

Multiplication Property of Equality

c)

Commutative Property of Addition

d)

Subtraction Property of Equality

45.

What property of equality is shown below?

25 + d = 36

25 + d - 25 = 36 - 25

a)

addition property of equality

b)

subtraction property of equality

c)

division property of equality

d)

multiplication property of equality

46.

Which inequality matches the translation?

the sum of twice a number and five is less than ten

a)

2x - 5 > 10

b)

2x - 5 < 10

c)

2x + 5 < 10

d)

2x + 5 > 10

47.
a)

x2+4x+8

b)

x2+8x+8

c)

x2+8x+6

d)

x2+6x+8

48.
a)

x2+11x+16

b)

x2+5x+24

c)

x2+11x+24

d)

2x2+11x+24

49.
a)

x2+x-20

b)

x2-x-20

c)

x2-9x-20

d)

x2-x+20

50.
a)

x2+6x-16

b)

x2+10x-16

c)

x2+6x+16

d)

x2-6x-16

51.
Factor d2 - 10d + 25
a)
(d + 5) (d - 5)
b)
(d - 15) (d + 10)
c)
(d + 5) (d - 20)
d)
(d - 5) (d - 5)
52.
Factor x2+12x+35
a)
(x+5)(x+7)
b)
(x+4)(x+3)
c)
(x+7)(x-5)
d)
Prime
53.

Factor:

x2 + 7x + 12

a)

(x+3)(x+4)

b)

(x+2)(x+6)

c)

(x+1)(x+12)

d)

(x+1)(x+7)

54.
Factor:
 n+ 10n + 25
a)
(n + 5)(n - 5)
b)
(n + 25)(n + 1)
c)
(n - 5)2
d)
(n + 5)2
55.

What is the common difference of the sequence :

6 , 12, 18, 24, . . .

a)

6

b)

- 6

c)

30

d)
  • 30
56.

What is the common difference of the sequence :

22, 25, 28, . . .

a)

-3

b)

4

c)

3

d)

-4

57.

What is the common difference of the sequence :

-10, -7, -4, . . .

a)

3

b)

-4

c)

-3

d)

4

58.
Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...
a)
45, 54, 63
b)
49, 59, 69
c)
39, 49, 59
d)
59, 69, 79
59.

(18x)38\left(18x\right)^{\frac{3}{8}}  

a)

(18x8)3\left(\sqrt[8]{18x}\right)^3  

b)

(18x3)8\left(\sqrt[3]{18x}\right)^8  

c)

(18x3)3\left(\sqrt[3]{18x}\right)^3  

d)

(18x8)8\left(\sqrt[8]{18x}\right)^8  

60.
a)

x < 0 or x ≥ 2

b)

x < 0 or x > 2

c)

x ≤ 0 or x ≥ 2

d)

x ≤ 0 or x > 2

61.
What does the L in FOIL stand for?
a)
Least
b)
Lark
c)
Last
d)
Lyrical
62.
Which of the following are ways to find the rate of change?
a)
change in y over change in x
b)
rise over run
c)

slope

d)
all of the above
63.

Solve F = ma for a

a)

a= m/F

b)

a=F/m

c)

a= F- m

d)

a= F + m

64.

Combine the like terms: x+x+t+t

a)

2x+2t

b)

3x+2t

c)

3+2t

d)

5t

65.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
66.

What is the domain?

a)

(, 3]\left(-\infty,\ -3\right]

b)

[3, )\left[3,\ -\infty\right)

c)

(,3]\left(-\infty,3\right]

d)

(,)\left(-\infty,\infty\right)

e)

None of the answer choices

67.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

68.
What is the y -intercept on this graph?
a)
(0,6)
b)
 (5,0)
c)
(0,5)
d)
(0,0)
69.

35+753\sqrt{5}+7\sqrt{5}  

a)

5\sqrt{5}  

b)

101010\sqrt{10}  

c)

10510\sqrt{5}  

d)

21521\sqrt{5}  

70.

Simplify.
10×10\sqrt{10}\times\sqrt{10}  

a)

10\sqrt{10}  

b)

1010  

c)

101010\sqrt{10}  

d)

100100  

71.
What is the 71  ?
a)
1
b)
7
c)
0
d)
14
72.
7⁰
a)
1
b)
7
c)
0
d)
-7
73.
Simplify the following: 4√5 - 6√5 + 4√3 - 2√3
a)
3√5 - 4√5 + 4√3 - 2√3
b)
-2√5 + 2√3
c)
√3
d)
10√5 + 2√3
74.
Simplify completely.
a)
2√3
b)
-8√3
c)
2√6
d)
-8√6
75.

35+753\sqrt{5}+7\sqrt{5}  

a)

5\sqrt{5}  

b)

101010\sqrt{10}  

c)

10510\sqrt{5}  

d)

21521\sqrt{5}  

76.
a)

8√6

b)

8√12

c)

12√6

d)

12√12

77.
2√5 + 4√5 =
a)
6√10
b)
8√10
c)
8√5
d)
6√5
78.

Simplify √5 ⋅ √5

a)

√5

b)

√25

c)

5

d)

25

79.

36=\sqrt{36}=  

a)

4

b)

9

c)

6

d)

12

80.

x2=100.  What does x=?x^2=100.\ \ What\ does\ x=?  

a)

0

b)

90

c)

1

d)

10

81.
What is the x-intercept for the given graph?
a)
1
b)
-2
c)
2
d)
1/2
82.

Identify the y-intercept of the graph.

a)

(0, 3)

b)

(-1, 0)

c)

(0, -1)

d)

(3, 0)

83.

Identify the graph with a x-intercept of -2 and y-intercept of 2

a)
b)
c)
d)
84.

What is the range?

a)

(, 3]\left(-\infty,\ -3\right]

b)

[3, )\left[3,\ -\infty\right)

c)

(,3]\left(-\infty,3\right]

d)

None of the answer choices

e)

[3, )\left[-3,\ \infty\right)  

85.

What is the domain?

a)

(,2]\left(\infty,-2\right]

b)

[2, )\left[-2,\ \infty\right)


c)

[-2,3]

d)

(, 2]\left(-\infty,\ -2\right]

e)

None of the answer choices

86.
What is the range of the graph?
a)
(-∞,∞)
b)
[-1,0]
c)
[-1,3]
d)
[3,∞)
87.

y0=y^0=  

a)

y

b)

0

c)

1

d)

10

88.

3650=365^0=  

a)

0

b)

1

c)

365

d)

1365\frac{1}{365}  

89.

x5x^{-5}  =

a)

1x5\frac{1}{x^{-5}}  

b)

1x5\frac{1}{x^5}  

c)

x51\frac{x^5}{1}  

d)

x51\frac{x^{-5}}{1}  

90.

x9x4\frac{x^9}{x^4}  =

a)

x13x^{13}  

b)

x36x^{36}  

c)

x5x^5  

d)

x5x^{-5}  

91.

(x7)2\left(x^7\right)^2  =

a)

x14x^{14}  

b)

x9x^9  

c)

x5x^5  

d)

2x72x^7  

92.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
93.
Which expression with a fractional exponent best represents √7 ?
a)
7 ½
b)
7¼
c)
7
d)
27
94.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
95.

When two numbers are added together, the result is the...

a)

sum

b)

difference

c)

product

d)

quotient

96.

When two numbers are multiplied together, the result is the...

a)

sum

b)

difference

c)

product

d)

quotient

97.

When two numbers are multiplied together, the result is the...

a)

sum

b)

difference

c)

product

d)

quotient

98.

When two numbers are subtracted from one another, the result is the...

a)

sum

b)

difference

c)

product

d)

quotient

99.

When one number is divided by another, the result is the...

a)

sum

b)

difference

c)

product

d)

quotient

100.

What should you do when you first wake up in the morning?

a)

PRAY! Thank God for another day of life and offer every moment and task of your whole day to Jesus (JMJ!)

b)

Hit snooze

c)

Play games on your phone

101.
3 + (-9)
a)
6
b)
-12
c)
-6
d)
12
102.
-7 + -6
a)
-1
b)
11
c)
1
d)
-13
103.
0 - 16
a)
16
b)
0
c)
-16
d)
5
104.
(-4) + 8 =
a)
12
b)
4
c)
-4
d)
-12
105.
19 + (-6) =
a)
-25
b)
25
c)
13
d)
-13
106.
5 - 13 =
a)
-8
b)
8
c)
-18
d)
18
107.
If you are adding 2 negative numbers, will your answer be positive or negative?
a)
negative
b)
positive
108.
-2 - (-1) =
a)
3
b)
-1
c)
1
d)
-3
109.
-9 - (-5) =
a)
-4
b)
4
c)
-14
d)
14
110.
9 - 16 =
a)
8
b)
-7
c)

7

d)
25