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Total questions: 98

Worksheet time: 3hrs 48mins

Name
Class
Date
1.
Solve 3-3
a)
-27
b)
-9
c)
-1/9
d)
1/27
2.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
3.
Solve the equation for the variable given.
y/7 + 6=11
a)
119
b)
135
c)
35
d)
19
4.
2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday.  She made a total of $96 last week.  Which equation models this situation?
a)
96h + 15 = 8
b)
h/96 = 8
c)
8h + 15 = 96
d)
h/8 = 96
5.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
6.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
7.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x
a)
one
b)
no solutions
c)
infinite solutions
8.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
9.

4) Solve this equation


a - 2.1 = 5.8

a)

a = 7.9

b)

a = 3.7

c)

a = 5.8

d)

None of these match my answer

10.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
11.
Solve for x:
2x + 5 = 12
a)
7
b)
3
c)
3.5
d)
8.5
12.

Find y if

 y6\frac{y}{6}  =  3

a)

9

b)

2

c)

18

d)

3

13.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
14.
What is the definition of a coefficient?
a)
The letter used to represent a quantity
b)
The little number or letter used to raise to a power
c)
The number in front of a variable
d)
The number in back of a variable
15.
What is the definition of a variable?
a)
The letter used to represent a quantity
b)
The little number or letter used to raise to a power
c)
The number in front of a variable
d)
The number with no variable
16.
Which of the following is an expression?
a)
6x + 2x = 6
b)
10 = 5x
c)
2x + 6x - 10
d)
6x2 + 10 = 25
17.
Which of the following is an equation?
a)
6x + 2x - 6
b)
6x2 + 10 = 25
c)
6x2 + 10 - 25
d)
10y - 6 + 34u
18.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
19.
Which operation will cancel out multiplication?
a)
A.  Addition
b)
B. Subtraction
c)
C. Multiplication
d)
D. Division
20.
What is the first step in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
21.
Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20
a)
They should have divided by 1 for the last step
b)
They should add 19 instead of subtracting 19
c)
I can not find an error
d)
Instead of adding 3k they should subtract 3k
22.

Find z if 5z =30

a)

4

b)

5

c)

150

d)

6

23.
Solve:
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
24.

When you graph an inequality, you use a closed circle when you use which symbols?

a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
25.
Does the given value make the inequality true?  x + 9 > 21, when x = 15
a)
True
b)
Not True
26.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
27.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
28.

-5h + 2 ≥ -8

a)

h≤2

b)

h>4

c)

h≤3

d)

h≥2

29.
6x + 2 + 6x < 14
a)
x < 1
b)
x > 1
c)
x < -1
d)
x > -1
30.

-5h + 2 ≥ -8

a)

h≤2

b)

h>4

c)

h≤3

d)

h≥2

31.

Solve the following inequality:

15<4x+1-15<4x+1  

a)

x>4x>4  

b)

x<4x<4  

c)

x>4x>-4  

d)

x<4x<-4  

32.

What is the first step to solving this inequality?

9x  6 > 669x\ -\ 6\ >\ 66  

a)

Add 9 to both sides of the inequality.

b)

Divide both sides of the inequality by 9.

c)

Subtract 6 on both sides of the inequality.

d)

Add 6 to both sides of the inequality.

33.

What is the first step to solve the following inequality?

25  4y  3725\ -\ 4y\ \ge\ 37  

a)

Subtract 25 from both sides of the inequality.

b)

Add 25 to both sides of the inequality.

c)

Divide both sides of the inequality by 4.

d)

Multiply both sides of the inequality by -4.

34.

What are the correct steps to solving this inequality?

3x  12 > 48-3x\ -\ 12\ >\ 48  

a)

Subtract 12, then divide by 3, then reverse the inequality sign.

b)

Add 12, then multiply by -3, then reverse the inequality sign.

c)

Add 12, then divide by -3, then reverse the inequality sign.

d)

Subtract 12, then divide by -3, then reverse the inequality sign.

35.

What are the correct steps to solving this inequality?

3x  12 > 48-3x\ -\ 12\ >\ 48  

a)

Subtract 12, then divide by 3, then reverse the inequality sign.

b)

Add 12, then multiply by -3, then reverse the inequality sign.

c)

Add 12, then divide by -3, then reverse the inequality sign.

d)

Subtract 12, then divide by -3, then reverse the inequality sign.

36.

What are the correct steps to solving this inequality?

3x  12 > 48-3x\ -\ 12\ >\ 48  

a)

Subtract 12, then divide by 3, then reverse the inequality sign.

b)

Add 12, then multiply by -3, then reverse the inequality sign.

c)

Add 12, then divide by -3, then reverse the inequality sign.

d)

Subtract 12, then divide by -3, then reverse the inequality sign.

37.

What are the correct steps to solving this inequality?

3x  12 > 48-3x\ -\ 12\ >\ 48  

a)

Subtract 12, then divide by 3, then reverse the inequality sign.

b)

Add 12, then multiply by -3, then reverse the inequality sign.

c)

Add 12, then divide by -3, then reverse the inequality sign.

d)

Subtract 12, then divide by -3, then reverse the inequality sign.

38.

What are the correct steps to solving this inequality?

3x  12 > 48-3x\ -\ 12\ >\ 48  

a)

Subtract 12, then divide by 3, then reverse the inequality sign.

b)

Add 12, then multiply by -3, then reverse the inequality sign.

c)

Add 12, then divide by -3, then reverse the inequality sign.

d)

Subtract 12, then divide by -3, then reverse the inequality sign.

39.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
40.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
41.
Round to the Nearest Tenth: √28
a)
5.6
b)
5.9
c)
5.3
d)
8
42.
Order 3π, √ 10 , and 3.25 from greatest to least.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
43.
Which represents a rational number?
a)
√110
b)
√324
c)
√65
d)
√80
44.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
45.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
46.
What is a rational number ?
a)
A rational number  is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a ratio.
c)
A rational number cannot be a repeating  decimal.
d)
A rational number is a never ending never repeating decimal.
47.
√25
a)
Rational
b)
Irrational
c)
Variable
d)
Imaginary
48.
The √40 is between which two consecutive whole numbers?
a)
7 & 8
b)
4 & 5
c)
5 & 6
d)
6 & 7
49.

Which of the following is a rational approximation of √65?

a)

8.06

b)

8.07

c)

8.05

d)

8.1

50.

Arrange the following numbers in descending order: 0.6, 3/5, 50%, 0.65

a)

0.65, 0.6, 3/5, 50%

b)

3/5, 0.6, 0.65, 50%

c)

50%, 0.65, 0.6, 3/5

d)

0.65, 50%, 3/5, 0.6

51.

Which of the following is a rational approximation of √45?

a)

6.7

b)

6.8

c)

7.2

d)

7.1

52.

Which of the following is a rational approximation of √50?

a)

7.05

b)

7.4

c)

7.1

d)

7.8

53.

Arrange the following numbers in ascending order: 2.5, 5/2, 60%, 2.6

a)

60%, 2.5, 5/2, 2.6

b)

2.5, 5/2, 60%, 2.6

c)

2.5, 60%, 2.6, 5/2

d)

2.6, 60%, 5/2, 2.5

54.

If x is a positive square root of 144, which of the following inequalities is true?

a)

True

b)

False

55.

Which of the following numbers is the best approximation for the positive square root of 20?

a)

4.5

b)

5.1

c)

4.7

d)

4.9

56.

Which of the following numbers is a better approximation for √25?

a)

4.5

b)

5.1

c)

4.7

d)

4.9

57.

Arrange the following numbers in ascending order: 3.2, 16/5, 80%, 3.25

a)

80%, 3.2, 16/5, 3.25

b)

3.2, 16/5, 80%, 3.25

c)

3.25, 80%, 16/5, 3.2

d)

80%, 3.25, 3.2, 16/5

58.

Which of the following is a rational approximation of √30?

a)

5.5

b)

5.7

c)

5.2

d)

5.6

59.

Which of the following numbers is a better approximation for √15?

a)

4.1

b)

3.5

c)

3.7

d)

3.9

60.

Arrange the following numbers in descending order: 0.9, 9/10, 90%, 0.95

a)

0.95, 90%, 9/10, 0.9

b)

9/10, 90%, 0.95, 0.9

c)

90%, 0.95, 9/10, 0.9

d)

90%, 0.9, 9/10, 0.95

61.

Which of the following is a rational approximation of √90?

a)

6.5

b)

7.2

c)

7.1

d)

7.5

62.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
63.
Which is the best estimate of the square root of 63?
a)
7.1
b)
7.3
c)
7.5
d)
7.9
64.
The √40 is between which two consecutive whole numbers?
a)
7 & 8
b)
4 & 5
c)
5 & 6
d)
6 & 7
65.
Round to the Nearest Tenth: √119
a)
10.9
b)
10.5
c)
11.1
d)
10
66.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
67.
Find the best estimate for √18 .
Look at the number line.
a)
4.2
b)
4.4
c)
5.1
d)
4
68.
Round to the Nearest Tenth: √28
a)
5.6
b)
5.9
c)
5.3
d)
8
69.
The √40 is between which two consecutive whole numbers?
a)
7 & 8
b)
4 & 5
c)
5 & 6
d)
6 & 7
70.
a)
2/3
b)
-2/3
c)
3/5
d)
-3/5
71.
Convert 0.444... to a fraction.
a)
4/10
b)
4.4/99
c)
4/9
d)
2/5
72.
Put in the symbol to make the statement true...
-17.5   _________ -√121
a)
>
b)
<
c)
=
73.
Order 3π, √ 10 , and 3.25 from greatest to least.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
74.
Which represents a rational number?
a)
√110
b)
√324
c)
√65
d)
√80
75.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
76.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
77.

What is the sum of the integers between the square root of 38 and the square root of 84?

a)

32

b)

16

c)

24

d)

8

78.

What is the sum of the integers between the square root of 21 and 42?

a)

11

b)

22

c)

63

d)

13

79.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
80.
A whole number squared.
a)
Square Root
b)
Non-Perfect Square
c)
Perfect Square
d)
Power
81.
Which number is a rational number ?
a)
1/4
b)
π
c)
√3
d)
4.632789...
82.
Write 3 ∕ 5 as a decimal
a)
0.6
b)
0.5
c)
0.8
d)
1.2
83.

Which number is NOT a perfect square?

a)

100

b)

49

c)

25

d)

50

84.
What type of number is Pi?
a)
Rational
b)
Irrational
c)
Integer
d)
Natural
85.

What is an Integer?

a)

A set of Whole numbers and their opposites

b)

A set of whole numbers and fractions

c)

A decimal

d)

Fortnite Character

86.

Equation has

a)

an equal sign, variables, and constants

b)

no equal sign, variables, and constants

87.

Irrational numbers

a)

are non-terminating decimals, non-repeating decimals, and includes pi.

b)

are terminating decimals, repeating decimals, and does not include pi.

88.

Coefficients are

a)

The number in front of the X.

b)

The variable

c)

The number without an X

d)

constants

89.

An expression has

a)

no equal sign, variables, and constants

b)

an equal sign, variables, and constants

90.

Perfect Square is an

a)

answer is a whole number

b)

answer is a decimal

91.

Variable

a)

Unknown value, usually represented by a letter

b)

A number that goes on forever

c)

Fortnite

92.

Constant

a)

a number not attached to X

b)

an unknown value

c)

the number attached to X

93.
The square root of 2 is an irrational number because...
a)
All square roots are irrational
b)
The answer is a decimal that never stops
c)
Two is an even number
d)
The answer is 1
94.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
95.

Solve the inequality.

30 + n ≥ 50

a)

n > 50

b)

n ≥ 80

c)

n < 30

d)

n ≥ 20

96.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

97.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
98.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4