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1st 9 Weeks Test 3 Review

Total questions: 114

Worksheet time: 29hrs 30mins

Name
Class
Date
1.
includes integers, fractions, terminating and repeating decimals.
a)
Rational Numbers
b)
Irrational Numbers
2.
.141414141414...
a)
Rational 
b)
Irrational 
3.
pi - 3.141592....
a)
Rational
b)
Irrational 
4.
√2
a)
Rational
b)
Irrational
5.
√7
a)
Rational 
b)
Irrational
6.
√25
a)
Rational
b)
Irrational
7.
a)
rational
b)
irrational
8.
-√4
a)
rational
irrational
b)
rational
9.
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.
10.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
11.
which number is a rational number ?
a)
1/4
b)
π
c)
√3
12.
-17.5
a)
Rational
b)
Irrational
13.
.141414141414...
a)
Rational 
b)
Irrational 
14.
√24
a)
4√6
b)
2√6
c)
6√2
d)
2√12
15.
√45
a)
3√5
b)
5√3
c)
9√5
d)
5√9
16.

Which of these is an example of a rational number?

a)

√4

b)

√5

c)

√3

d)

√2

17.

Which of these is an example of an irrational number?

a)

√2

b)

√1

c)

√9

d)

√25

18.

Which of these is an example of a terminating decimal?

a)

1⁄2

b)

1⁄3

c)

2⁄3

d)

1⁄7

19.

Select the irrational numbers

a)

50\sqrt{50}  

b)

2

c)

π\pi  

d)

2.3454128904

20.

A rational number can be written as a fraction.

a)

true

b)

false

21.
a)
7 and 8
b)
8 and 9
c)
17 and 18
d)
35 and 36
22.
Which number is between 7 and 8?
a)
√7
b)
√42
c)
√59
d)
√68
23.
The √98 falls between what two numbers on a number line?
a)
10 and 11
b)
11 and 12
c)
9 and 10
d)
90 and 100
24.

The √58 is between which two integers?

a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
25.
a)

A

b)

B

c)

C

d)

D

26.

Which list shows only natural numbers?

a)

0, 1, 2, 3, 4, ...

b)

1, 2, 3, 4, ...

c)

-3, -2, -1, 0, 1, 2, 3, ...

d)

All numbers are natural numbers

27.

True or False: Every natural number (aka counting number) is an integer.

a)

True

b)

False

28.

Check all of the sets of numbers that are contained in the set of Rational Numbers.

a)

Integers

b)

Irrational Numbers

c)

Whole Numbers

d)

Natural Numbers

29.

What number is a whole number but not at natural number?

a)

-1

b)

0

c)

1

d)

1.1

e)

1\sqrt[]{-1}  

30.

Convert 0.25 to a fraction in simplest form.

a)

14\frac{1}{4}

b)

25100\frac{25}{100}

c)

520\frac{5}{20}

d)

25\frac{2}{5}

31.

96=6(k+8)96=6\left(k+8\right)  

a)

1212  

b)

88  

c)

4-4  

d)

99  

32.

21=3+4n+5n21=3+4n+5n  

a)

9

b)

7-7  

c)

6

d)

2

33.

97=3(6n5)897=-3\left(6n-5\right)-8  

a)

10-10  

b)

1616  

c)

5-5  

d)

2-2  

34.

10(h+1) - 4 = 76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

35.
Solve for x:
4 - 2(x - 3) = 24
a)
- 7
b)
7
c)
14
d)
- 14
36.

What will the equation look like after you combine like terms?

a)

-5x + 5 = 35

b)

x + 5 = 35

c)

5x + 5 = 35

d)

-x + 5 = 35

37.

x+2+6=8x+2+6=8  

a)

0

b)

14

c)

8

d)

4

38.

The first operation used to undo 5x + 3 > 18, is

a)

addition

b)

subtraction

c)

multiplication

d)

division

39.

When you multiply both sides of an equation by a negative number;

a)

the sign stays the same.

b)

the sign changes.

c)

the sign becomes negative

d)

the sign is positive

40.
-9a - 1 < 26
a)
a < -3
b)
a < 3
c)
a > -3
d)
a > 3
41.
Solve for t.

6t 
4 ≤ -2
a)
t ≤ -1 
b)
t ≤ 1
c)
t=1
d)
1=t
42.

6(27v)+2(v+4)=206\left(2-7v\right)+2\left(v+4\right)=20  

a)

{ -6 }

b)

{ -3 }

c)

{ -11 }

d)

{ 0 }

43.

8x3(2x4)=3(x6)8x-3\left(2x-4\right)=3\left(x-6\right)  

What is the solution to the equation?

a)

6

b)

2

c)

30

d)

No solution

44.

0.75(x+20)=2+0.5(x2)0.75\left(x+20\right)=2+0.5\left(x-2\right)  

Which value of x makes the equation true?

a)

64

b)

-64

c)

56

d)

-56

45.

3(75b)+3b=6b+4(5+3b)1-3\left(7-5b\right)+3b=6b+4\left(-5+3b\right)-1  

a)

{ 10 }

b)

{ -12 }

c)

{ 5 }

d)

{ All real numbers. }

46.

3m+1=4m63m+1=4m-6  

a)

{ - 16 }

b)

{ 7 }

c)

{ 0 }

d)

{-5 }

47.

5n14=7(6n+2)5n-14=-7\left(6n+2\right)  

a)

{ -3 }

b)

{ 0 }

c)

{ 5 }

d)

{ 3 }

48.

2(1+7x)1=832\left(1+7x\right)-1=-83  

a)

{ -6 }

b)

No Solution

c)

{ -15 }

d)

{ -16 }

49.

6(27v)+2(v+4)=206\left(2-7v\right)+2\left(v+4\right)=20  

a)

{ -6 }

b)

{ -3 }

c)

{ -11 }

d)

{ 0 }

50.

2(3m5)=6(m3)-2\left(3m-5\right)=-6\left(m-3\right)  

a)

{ 14 }

b)

No Solution

c)

{ 8 }

d)

{ -12 }

51.

a32=11843aa-\frac{3}{2}=\frac{1}{18}-\frac{4}{3}a  

a)

{15}\left\{\frac{1}{5}\right\}  

b)

{92}\left\{-\frac{9}{2}\right\}  

c)

{23}\left\{\frac{2}{3}\right\}  

d)

{2}\left\{2\right\}  

52.

12(52v+1)=83v5312-\frac{1}{2}\left(-\frac{5}{2}v+1\right)=-\frac{8}{3}v-\frac{53}{12}  

a)

{43}\left\{-\frac{4}{3}\right\}  

b)

{2}\left\{2\right\}  

c)

{13}\left\{-\frac{1}{3}\right\}  

d)

{1}\left\{-1\right\}  

53.

2(2x12)=32(12x+1)-2\left(2x-\frac{1}{2}\right)=\frac{3}{2}\left(-\frac{1}{2}x+1\right)  

a)

{213}\left\{-\frac{2}{13}\right\}  

b)

{1}\left\{1\right\}  

c)

{75}\left\{-\frac{7}{5}\right\}  

d)

{54}\left\{\frac{5}{4}\right\}  

54.

3(72a+53)=872-3\left(-\frac{7}{2}a+\frac{5}{3}\right)=-\frac{87}{2}  

a)

{113}\left\{-\frac{11}{3}\right\}  

b)

{0}\left\{0\right\}  

c)

{12}\left\{-\frac{1}{2}\right\}  

d)

{15}\left\{-\frac{1}{5}\right\}  

55.

6 + 9r = 9r + 6

a)

One Solution

b)

No Solution

c)

Infinite Solutions

56.

2b ‒ 5 = 9

a)

One Solution

b)

No Solution

c)

Infinite Solutions

57.

–2q ‒ 3 = –2q ‒ 8

a)

One Solution

b)

No Solution

c)

Infinite Solutions

58.

8p ‒ 1 = 1 + 8p

a)

One Solution

b)

No Solution

c)

Infinite Solutions

59.

4 + 7c = 11

a)

One Solution

b)

No Solution

c)

Infinite Solutions

60.

–4n = –7n + 3n

a)

One Solution

b)

No Solution

c)

Infinite Solutions

61.

6e ‒ 10 = 10 ‒ 2e + 10e

a)

One Solution

b)

No Solution

c)

Infinite Solutions

62.

4(x ‒ 5) = 4x ‒ 20

a)

One Solution

b)

No Solution

c)

Infinite Solutions

63.

2(3g + 1) = 3g + 1 + 3g

a)

One Solution

b)

No Solution

c)

Infinite Solutions

64.

8 + 5(f ‒ 2) = 2f ‒ 2 + 3f

a)

One Solution

b)

No Solution

c)

Infinite Solutions

65.

–8 ‒ 4p = 5(p + 2)

a)

One Solution

b)

No Solution

c)

Infinite Solutions

66.

8m ‒ 4 ‒ 2m = 3(2m ‒ 1)

a)

One Solution

b)

No Solution

c)

Infinite Solutions

67.

6 + 9r = 9r + 6

a)

One Solution

b)

No Solution

c)

Infinite Solutions

68.

2b ‒ 5 = 9

a)

One Solution

b)

No Solution

c)

Infinite Solutions

69.

4(x ‒ 5) = 4x ‒ 20

a)

One Solution

b)

No Solution

c)

Infinite Solutions

70.

8m ‒ 4 ‒ 2m = 3(2m ‒ 1)

a)

One Solution

b)

No Solution

c)

Infinite Solutions

71.

What is the missing step for solving the equation?

a)

14x2=5x+34-14x-2=5x+34  

b)

14x+2=5x+34-14x+2=5x+34  

c)

14x2=5x+3414x-2=5x+34  

d)

14x2=5x3414x-2=-5x-34  

72.

Solve for x:

50=54(3x8)50=\frac{5}{4}\left(3x-8\right)  

a)

x=163x=\frac{16}{3}  

b)

x=16x=16  

c)

x=4x=4  

d)

x = 154x\ =\ \frac{15}{4}  

73.
What is the slope?
a)
1/2
b)
2
c)
7
d)
3
74.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
75.
What is the slope?
a)
-21
b)
-17
c)
1/4
d)
4
76.
What is the slope?
a)
-1/5
b)
-5
c)
-4
d)
-6
77.
What is the slope?
a)
2/5
b)
5/2
c)
3
d)
5.5
78.
What is the slope?
a)
0.25
b)
-0.25
c)
5
d)
4
79.
What is the slope?
a)
2
b)
1/2
c)
1
d)
1.5
80.
What is the slope?
a)
5
b)
1/5
c)
15
d)
10
81.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
82.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
83.

From the equation: y = -2x +6 what is the slope of the line?

a)

y

b)

6

c)

x

d)

-2

84.

From the equation: y = -2x+6 what is the y-intercept of the line?

a)

y

b)

6

c)

x

d)

-2

85.

Linear Functions are functions whose graph is a _______ _____.

a)

U-shaped curve

b)

V-shaped curve

c)

straight line

d)

wavy line

86.

Which of the following equations has a POSITIVE SLOPE?

a)

y=34x5y=\frac{3}{4}x-5

b)

y=4x+1y=-4x+1

c)

y=13y=-13

d)

x=10x=10

87.

Which of the following equations has a NEGATIVE SLOPE?

a)

y=34x5y=\frac{3}{4}x-5

b)

y=4x+1y=-4x+1

c)

y=13y=-13

d)

x=10x=10

88.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
89.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
90.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
91.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
92.

What form of linear equation is this?

a)

Slope-Intercept

b)

Point-Slope

c)

Standard

93.

Which of the following linear equations has a slope of -3 and a y-intercept at (0, 3)?

a)

y = 3x - 3

b)

y = -3x + 3

c)

y = 3x

d)

y = x + 3

94.

Which of the following equations has a rate of change of -5?

a)

y = 5x

b)

y = 5x + 5

c)

y = 5 - 5x

d)

y = 5x - 5

95.

Which of the following linear equations contains (2, -3) and has a slope of 4?

a)

y - 3 = 4(x + 2)

b)

y + 3 = 4(x - 2)

c)

y - 2 = 4(x + 3)

d)

y + 2 = 4(x - 3)

96.

Which of the following linear equations has a y-intercept at (0, 2)?

a)

y = 2x

b)

y = x - 2

c)

y = 2 + x

d)

y = 1 + 2x

97.

Which of the following equations contains (2, 4) and (1, 8)?

a)

y = -4(x - 3)

b)

y = -4x + 8

c)

y = -0.25x + 4

d)

y = 2(2x + 6)

98.
You travel 150 miles on 5 gallons. How far did you travel per gallon?
a)
15 miles
b)
30 miles
c)
3 miles
d)
25 miles
99.

Is this equation y = 14x showing proportionality?

a)

yes

b)

no

100.
Does the table show a proportional relationship?
a)
Yes
b)
No
101.

You're throwing a party, and you ordered 15 pizzas for your guests. Your total came to $97.50. What was your unit cost per pizza?

a)

$4.95 per pizza

b)

$5.75 per pizza

c)

$7.25 per pizza

d)

$6.50 per pizza

102.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?

a)

16 customers

b)

10.5 customers

c)

7.5 customers

d)

14 customers

103.

A unit rate is a rate in which the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

104.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound

105.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$.50 per pound

b)

$1.25 per pound

c)

$3 per pound

d)

$2.50 per pound

106.
What makes a graph proportional?
a)
Straight Line
b)
The line goes through (0,0)
c)
Curvy line
d)
Straight line and passes through (0,0)
107.

What is the unit rate if the rate is 30 laps for 10 minutes.

a)

3 laps per minute

b)

10 laps per minute

c)

15 laps per minute

d)

10 laps per two minute

108.

Evan bought 5 pounds of bananas for $10. Christy bought 6 pounds of bananas for $9. Who has the better deal?

a)

Christy

b)

Evan

109.

Find the constant of proportionality on this table of values.

a)

k=3

b)

k=1

c)

k=0

d)

k=4

110.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
111.

Samantha drives at a rate of 30 mph. Tracy drives at a rate of 60 miles every 2 hours. Who drives faster?

a)

Samantha

b)

Tracy

c)

They drive the same speed per hour

112.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
113.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
114.

What is the unit rate/constant of proportionality?

a)

80 miles in 1 hours

b)

20 miles in 1 hours

c)

40 miles in 1 hours

d)

160 miles in 1 hours