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ALM S1 Final Exam Review

Total questions: 100

Worksheet time: 5hrs 2mins

Name
Class
Date
1.

Simplify the expression:

2x + 5 + 6x + 1

a)

7x + 7

b)

12x + 5

c)

8x + 6

d)

12x

2.

Simplify the expression:

4x + 9 + x + 2 + 6x

a)

11x + 11

b)

12x - 9

c)

10x + 10

d)

21x

3.

Simplify the expression:

6x + 12 - 8x - 2

a)

-2x + 10

b)

12x - 10

c)

2x + 14

d)

38x

4.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
5.
Simplify by combining like terms.
m + 9 - 4m
a)
5m
b)
m + 5m
c)
-3m + 9
d)
4m
6.
Which expression is equivalent to
v + v + v + v + v?
a)
5v
b)
v5
c)
v + 5
d)
v5
7.

What is the coefficient in the algebraic expression?

a)

4x

b)
4
c)
5
d)
9
8.
Which expression has 4 terms?
a)
3 + 5t - 24d
b)
15r + 10s - 12t + 4
c)
9stp - 3
d)
x/4 - 8p
9.

What is the Variable?

72+x57^2+x-5  

a)

7

b)

2

c)

x

d)

5

10.

What is the constant?

2x52x-5  

a)

7

b)

2

c)

x

d)

5

11.

What is the coefficient?

-b + 78

a)

b

b)

1

c)

78

d)

-1

12.

Identify the variables:

-65f + 78y -45

a)

-65, 78

b)

-45

c)

f,y

13.
How many terms are in the expression
3x + 2y + z
a)
5
b)
2
c)
4
d)
3
14.

What is the coefficient of y?

8 + 5x - y

a)
8
b)

-1

c)

1

d)
-5
15.

Combined means to

a)

Add

b)

Subtract

16.

Difference means to

a)

Add

b)

Subtract

17.

Sum is the answer to

a)

an addition problem.

b)

a subtraction problem.

18.

Less than means to

a)

add

b)

subtract

19.

What is the total means to

a)

subtract

b)

add

20.

What is another word for SUBTRACTION?

a)

times

b)

difference

c)

sum

d)

combined

21.

The result when two or more numbers are added.

a)

sum

b)

difference

c)

product

d)

quotient

22.

The result when one number is subtracted from another.

a)

product

b)

sum

c)

difference

d)

quotient

23.

The result when two or more numbers are multiplied.

a)

sum

b)

difference

c)

product

d)

quotient

24.

The result when one number is divided by another.

a)

sum

b)

difference

c)

product

d)

quotient

25.

seven less than twelve

a)

12 + 7

b)

12 - 7

c)

7 - 12

d)

7 ÷ 12

26.

the product of five and six

a)

5 + 6

b)

5 × 6

c)

5 ÷ 6

d)

5 - 6

27.

the difference of six and four

a)

6 - 4

b)

6 ÷ 4

c)

6 + 4

d)

6 × 4

28.

the sum of ten and four

a)

10 × 4

b)

10 ÷ 4

c)

10 + 4

d)

10 - 4

29.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
30.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
31.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
32.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
33.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
d)
not here
34.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
d)
not here
35.

How would you say 262^6  in word form?

a)

Six to the second power

b)

Two and six

c)

Two to the sixth power

d)

64

36.

Classify the following:

34\frac{3}{4}  

a)

Rational

b)

Irrational

c)

Neither

d)

Both 

37.

Classify the following:
17-17  

a)

Rational 

b)

Irrational

c)

Neither

d)

Both 

38.

Classify the following:
π\pi  

a)

Rational 

b)

Irrational 

c)

Neither

d)

Both 

39.

Classify the following:

0.5250.525  

a)

Rational 

b)

Irrational 

c)

Neither

d)

Both 

40.

Solve: 42+7×2Solve:\ 4^2+7\times2  

a)

46

b)

22

c)

30

d)

13

41.

Solve: 70÷523Solve:\ 70\div5-2^3  

a)

6

b)

8

c)

27

d)

14

42.

Solve: 33÷9+2Solve:\ 3^3\div9+2  

a)

3

b)

20

c)

5

d)

11

43.

Solve: 22+6×418Solve:\ 22+6\times4-18  

a)

64

b)

28

c)

94

d)

392

44.
2 + (9- 4)
a)
16
b)
77
c)
79
45.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
46.
Simplify the following:
(x3)6
a)
x9
b)
x18
c)
x6
d)
x3
47.
What is the value of:
z0
a)
z2
b)
z
c)
0
d)
1
48.
What is the value of:
(3/4)0
a)
1
b)
0
c)
3/4
d)
3/16
49.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
50.
Simplify: 
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
51.
Simplify the expression.
a)
76
b)
7-5
c)
1/75
d)
75
52.
Simplify the expression.
a)
y15
b)
y50
c)
y2
d)
y5
53.
(5³)⁷
a)
5²¹
b)
5¹⁰
c)
5⁴
d)
125²¹
54.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
55.
Simplify (-4x)0
a)
-4x
b)
-4
c)
1
d)
-1
56.

Simplify

x2x8x^2\cdot x^8  

a)

x10x^{10}  

b)

x16x^{16}  

c)

x6x^6  

d)

x4x^4  

57.
Simplify
(x2)3
a)
x3
b)
x5
c)
x6
d)
x4
58.

Simplify: (m9)2\left(m^9\right)^2  

a)

m11m^{11}  

b)

m18m^{18}  

c)

2m92m^9  

d)

m4.5m^{4.5}  

59.

The Index in the radical expression is the number

a)

3

b)

8

c)

1

d)

0

60.

The radicand in the radical expression is the number ___

a)

3

b)

8

c)

1

d)

0

61.

What was this symbol called?

\sqrt{ }  

a)

Index  Symbol 

b)

Radical Symbol 

c)

Radicand Symbol 

d)

Exponent Symbol 

62.

 In the expression 36\sqrt{36} , the number 36 is the _____ in the video.

a)

Radical Aymbol

b)

Radicand

c)

Index

d)

Expoenent 

63.

What is 100\sqrt[]{100}  ?

a)

10

b)

100

c)

200

d)

1

64.

What is 36\sqrt[]{36}  ?

a)

36

b)

6

c)

18

d)

72

65.

What is 144\sqrt[]{144}  ?

a)

144

b)

144

c)

12

d)

288

66.

What is 4\sqrt[]{4}  ?

a)

2

b)

4

c)

8

d)

16

67.

What is 324\sqrt[]{324}  ?

a)

162

b)

18

c)

81

d)

9

68.
Which lists all the factors of 15?
a)
1, 7, 8, 15
b)
1, 15
c)
1, 3, 5, 15
d)
3, 5, 15
69.
Which set lists all the factors of 24?
a)
1, 2, 3, 6, 7, 12, 24
b)
1, 2, 3, 4, 6, 8, 12, 24
c)
1, 2, 3, 4, 5, 6, 8, 12, 24
d)
1, 3, 4, 6, 8, 24
70.

5 is a ________ number

a)

PRIME

(exactly 2 factors)

b)

COMPOSITE

(more than 2 factors)

71.

46 is a ____________ number.

a)

PRIME

(exactly 2 factors)

b)

COMPOSITE

(more than 2 Factors)

72.

What is the greatest common factor of 14 and 35?

a)

2

b)

7

c)

8

d)

5

73.
Find the GCF of 14 & 22.
a)
1
b)
2
c)
7
d)
14
74.

Simplify completely:

a)
b)
c)
d)
75.
a)
7√3
b)
Can't Simplify
c)
6√15
d)
6√3
76.

5x+2=45x+2=4  

a)

Expression

b)

Equation

77.

5x+31+6x5x+3-1+6x  

a)

Expression

b)

Equation

78.

3(2x+1)4x+33\left(2x+1\right)-4x+3  

a)

Expression

b)

Equation

79.

2x3(x1)=7x+22x-3\left(x-1\right)=7x+2  

a)

Expression

b)

Equation

80.

6x8+9x156x-8+9x-15   

a)

Expression

b)

Equation

81.

  x+3=8x+3=8  

a)

Expression

b)

Equation

82.
Solve the equation: 
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = 4
d)
x = 84
83.
Solve the equation:
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
84.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
85.

What is the inverse of addition?

a)

multiplication

b)

division

c)

subtraction

d)

addition

86.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Division

87.

What is the inverse of division?

a)

Addition

b)

Multiplication

c)

Subtraction

88.

What is the inverse of subtraction?

a)

Division

b)

Multiplication

c)

Addition

89.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
90.
15 = 2a + 7
a)
2
b)
4
c)
12
d)
14
91.

1k5 = 5\frac{1-k}{5}\ =\ 5  

a)

k = 10

b)

k = -24

c)

k = -10

d)

k = 24

92.

x7+15 =8 \frac{x}{7}+15\ =8\  

a)

x = -49

b)

x = -161

c)

x = 49

d)

x = 161

93.
y − 10 > 14
a)
y > 24
b)
y < 24
c)
y > 4
d)
y < 4
94.
Solve
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
95.

y  57y\ -\ 5\ge-7  

a)

y12y\ge12  

b)

y2y\ge-2  

c)

y2y\ge2  

d)

y12y\ge-12  

96.

y35\frac{y}{3}\ge5  

a)

y15y\ge15  

b)

y15y\ge-15  

c)

y15y\le15  

d)

y15y\le-15  

97.

4x>52-4x>52  

a)

x>13x>-13  

b)

x<13x<-13  

c)

x<13x<13  

d)

x>13x>13  

98.

5t<40-5t<40  

a)

t<8t<-8  

b)

t>8t>8  

c)

t>8t>-8  

d)

t<8t<8  

99.

When you divide/multiply by a negative coefficient....

a)

your symbol flips

b)

your symbol stays the same

100.
5w + 12 = 47
a)
w = 12
b)
w = 7
c)
w = 8
d)
w = 11