Free Printable Dec 8th Math 2 Prob/Variation

1.

a)

direct variation

b)

inverse variation

c)

neither direct nor inverse variation

2.

a)

direct variation

b)

inverse variation

c)

neither direct nor inverse variation

3.

The equation
xy = 25 represents:

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

4.

Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.

a)

300

b)

75

c)

1,875

d)

12

5.

Which of the following represents direct variation?

a)

y = kx

b)

y = k/x

c)

y = x/k

d)

y = mx + b

6.

Is the given table a direct variation? If so, what is the constant of variation?

a)

Yes; 1/3

b)

Yes; 3

c)

Yes; 5

d)

No

7.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

8.

Is the given table a direct or inverse variation? What is the constant of variation?

a)

Direct, 12

b)

Inverse, 12

c)

Direct, 1/12

d)

Inverse, 1/12

9.

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

a)

$394

b)

$443.25

c)

$472.80

d)

$512.20

10.

Write an equation for this relationship.

a)

y=4x

b)

y=1/8x

c)

y=1/4x

d)

y=8x

11.

Is the given table a direct variation? If so, what is the constant?

a)

Yes; 1/4

b)

Yes; 4

c)

Yes; 2

d)

No

12.

Is this a direct variation?
y=2x

a)

yes

b)

no

13.

Which table represents a direct variation?

a)

b)

c)

d)

14.

Which equation represents an inverse variation?

a)

$y=-3x+5$

b)

$y=-2x$

c)

$y=\frac{x}{8}$

d)

$y=\frac{8}{x}$

15.

Which equation represents a direct variation?

a)

$y=-\frac{1}{2}x+5$

b)

$y=-2x$

c)

$xy=25$

d)

$y=\frac{3}{x}$

16.

Y varies directly to x. If y = 16 when x = 4, which equation represents this situation?

a)

$y=\frac{1}{4}x$

b)

$y=12x$

c)

$y=4x$

d)

$y=64x$

17.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

18.

If y = 15 when x = 12 find y when x = 32.

a)

40

b)

-40

c)

5

d)

-5

19.

What type of variation does this scenario represent?
You and some friends decide to buy 2 pizzas and split the cost evenly.
The number of friends who are sharing the cost of the pizzas
and the amount of money you pay for your share.

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

20.

What type of variation does this scenario represent?
The outside temperature
and the number of layers of clothes you need to wear outside to feel comfortable

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

21.

What type of variation does this scenario represent?
The length of time you charge your cell phone
and the battery power

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

22.

Which of the following represents inverse variation?

a)

y = kx

b)

y = k/x

c)

y = x/k

d)

k=xy

23.

Which of the following represents direct variation?

a)

y = kx

b)

y = k/x

c)

y = x/k

d)

k=y/x

24.

Is the given table a direct or inverse variation? What is the constant of variation?

a)

Direct, 12

b)

Inverse, 12

c)

Direct, 1/12

d)

Inverse, 1/12

25.

Is the given table a direct variation? If so, what is the constant?

a)

Yes; 1/4

b)

Yes; 4

c)

Yes; 2

d)

No

26.

Is the given table a direct variation? If so, what is the constant of variation?

a)

Yes; 1/3

b)

Yes; 3

c)

Yes; 5

d)

No

27.

Is this a direct variation?

a)

yes

b)

no

28.

Direct Variation?

a)

yes

b)

no

29.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

30.

What color are you MOST likely to land on?

a)

pink

b)

green

c)

yellow

d)

blue

31.

Jazlyn has 4 quarters, 10 dimes, and 3 nickels in her wallet. What is the likelihood of her choosing a penny?

a)

certain

b)

likely

c)

unlikely

d)

impossible

32.

What is the likelihood of getting yellow?

a)

1 out of 12

b)

1 out of 8

c)

3 out of 12

d)

5 out of 7

33.

What is the likelihood of getting yellow?

a)

1 out of 12

b)

1 out of 8

c)

3 out of 12

d)

5 out of 7

34.

How likely is it that summer will come?

a)

Certain

b)

Likely

c)

Unlikely

d)

Impossible

e)

Equally likely

35.

How likely is it that I will see a dinosaur tomorrow?

a)

Certain

b)

Likely

c)

Unlikely

d)

Impossible

e)

Equally Likely

36.

What fraction of the rectangle is blue?

a)

1/6

b)

2/6

c)

6/2

d)

2/3

37.

What fraction is red?

a)

1/4

b)

2/4

c)

3/4

d)

4/4

38.

What is the probability of flipping a coin and getting heads?

a)

1/2

b)

1/3

c)

1/4

d)

Never, Tails never fails.

39.

What is the probability of the spinner landing on an odd number?

a)

4/8

b)

4/4

c)

1/4

d)

1/3

40.

What result is least likely?

a)

Blue

b)

Red

c)

Yellow

d)

Purple

41.

What color is least likely to be picked?

a)

Green

b)

Black

c)

Light Blue

d)

Red

42.

Which color is impossible to pick?

a)

Blue

b)

Yellow

c)

Red

d)

Purple

43.

If you were picking from a bag, which two tiles are equally likely?

a)

B and D

b)

A and D

c)

H and D

d)

M and D

44.

Where will the spinner most likely land?

a)

Blue

b)

Red

c)

Green

d)

Pink

45.

Which color marble is least likely to be pulled from the jar?

a)

Green

b)

Red

c)

Blue

46.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

47.

What is the probability of selecting an orange candy?

a)

0%

b)

25%

c)

50%

d)

100%

48.

What color are you MOST likely to land on?

a)

pink

b)

green

c)

yellow

d)

blue

49.

Jazlyn has 4 quarters, 10 dimes, and 3 nickels in her wallet. What is the likelihood of her choosing a penny?

a)

certain

b)

likely

c)

unlikely

d)

impossible

50.

What is the probability of the spinner landing on an odd number?

a)

4/8

b)

4/4

c)

1/4

d)

1/3

51.

Which color marble is least likely to be pulled from the jar?

a)

Green

b)

Red

c)

Blue

52.

An event with a probability of equally likely as unlikely would be...

a)

0

b)

1/2

c)

2/3

d)

1

53.

A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

54.

What is the probability that a student does play a sport given they do not play an instrument?

a)

.78

b)

.22

c)

.10

d)

.5

55.

Consider the following table with information about all of the students taking Statistics at Happy High School.

Find P( Male given Full Time)

a)

7/3

b)

3/10

c)

3/7

d)

4/7

56.

P(Pizza Given Senior):

a)

10/15

b)

4/5

c)

2/3

d)

10/5

57.

What is the probability that a student does not play on a sports team?

a)

.5

b)

.45

c)

.55

58.

What is the probability that the person picked will be a boy given they speak german?

a)

.7273

b)

.4

c)

.16

d)

.22

59.

What is the probability that they speak French given they are a girl?

a)

2.14

b)

.24

c)

.4

d)

.8571

60.

How many total outfit options are represented?

a)

12

b)

22

c)

3

61.

The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the complete set of possible combinations?

a)

TW, CW, PW

b)

TW, TM, TC, CW, PW

c)

TW, TM, CW, CM, PW, PM

d)

TCP, MW

62.

You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?

a)

12 outfits

b)

22 outfits

c)

3 outfits

d)

7 outfits

63.

Which tree diagram has the most possible outcomes?

a)

b)

c)

64.

How many outcomes are there with tossing a coin and rolling a dice?

a)

2

b)

6

c)

12

d)

24

65.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

66.

An unlikely chance event is closer to what number?

a)

0

b)

1

c)

2

d)

3

67.

Probability can be between what two numbers?

a)

10 and 20

b)

0 and 100

c)

0 and 1

d)

All Numbers are possible

68.

The probability of it raining today is 30%. What is the probability that it will NOT rain?

a)

30%

b)

70%

c)

100%

d)

0%

69.

If you draw one card from a standard deck, what is the probability of drawing a 5 AND a diamond (5 of diamonds)?

a)

2/52

b)

4/52

c)

1/52

d)

26/52

70.

A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?

a)

1/9

b)

2/9

c)

5/21

d)

10/21

71.

The equation
xy = 25 represents:

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

72.

Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.

a)

300

b)

75

c)

1,875

d)

12

73.

The width of a rectangle varies inversely with its length. If the width is 6 when the length is 24, give an equation that shows the relationship.

a)

y = 4x

b)

y = 144x

c)

y = 4/x

d)

y = 144/x

74.

The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 75 kg?

a)

50 kg water

b)

72 kg water

c)

94 kg water

d)

150 kg water

75.

Y varies directly with x. If y = 15 when x = 12, find y when x = 32.

a)

40

b)

-40

c)

5

d)

-5

76.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

77.

If Jane has 36 coins totaling $3.00, and the coins are all nickels and quarters, how many of each coin does she have?

Which equations can you set up for this problem? Select 2

a)

n+q=3.00

b)

n+q=36

c)

0.05n+0.25q=36

d)

0.5n+0.25q=3.00

e)

0.05n+0.25q=3.00

78.

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If E=Erin's age and A=Alex's age, choose the system that matches the situation.

a)

E + A = 33

A = 2E - 3

b)

E + A = 33

E = 2A - 3

c)

E + A = 33

E = 3 - 2A

d)

E + A = 3

E = 33 - 2A

79.

What's the x value of the solution?

x-y=11
2x+y=19

(a)

80.

Homer sells tickets for admission to your school play and collects a total of $116. Admission prices are $6 for adults and $4 for children. He sold 23 tickets total.

How many adult tickets did Homer sell? Please write the two equations and answer for full credit!

81.

Round to the nearest tenth.
123.496

a)

123

b)

123.4

c)

123.5

d)

123.49

82.

Round to the nearest whole number.
77.538

a)

100

b)

77

c)

78

d)

77.5

83.

Round to the nearest tenth.
77.538

a)

77

b)

77.5

c)

77.6

d)

77.63

84.

Round to the nearest hundredth.
77.538

a)

77.5

b)

77.6

c)

77.53

d)

77.54

85.

Round 5.592 to the nearest hundredth.

a)

5.60

b)

5.50

c)

6.59

d)

5.59

86.

Round 23.542 to the nearest tenth.

a)

23.5

b)

23.6

c)

23.54

d)

23

87.

Round 1.823 to the nearest whole number.

a)

1

b)

1.8

c)

2

d)

2.8

88.

Which number is the greatest? 0.9, 0.099, 0.199, 0.899

a)

0.9

b)

0.099

c)

0.199

d)

0.899

89.

Round to the nearest tenth:
.68

a)

6

b)

.6

c)

.7

d)

.69

90.

Round to the nearest whole number:
14.08

a)

14.08

b)

14

c)

15

d)

14.8

91.

Which decimal has the GREATEST value:
0.612 0.67 0.6 0.069

a)

0.612

b)

0.67

c)

0.6

d)

0.069

92.

Round to the nearest ten:
37

a)

10

b)

20

c)

30

d)

40

93.

Round to the nearest ten:
752

a)

700

b)

800

c)

750

d)

760

94.

Round to the nearest hundred:
888

a)

900

b)

800

c)

880

d)

890

95.

There are 293 steps to the top of the Leaning Tower of Pisa in Italy. To the nearest hundred, about how many steps are there?

a)

200

b)

300

c)

290

d)

250

96.

Round 12,658 to the tens place.

a)

12,000

b)

60

c)

12,660

d)

12,650

97.

Round 123,456 to the hundred thousands place.

a)

100,000

b)

123,000

c)

120,000

d)

110,000

98.

Round 1,295,631 to the hundreds place.

a)

1,000,000

b)

600

c)

1,295,600

d)

1,295,7000

99.

Round 55,555 to the thousands place.

a)

5,000

b)

6,000

c)

55,000

d)

56,000

100.

Round 999,999,111 to the tens place.

a)

999,000,000

b)

20

c)

10

d)

999,999,110

101.

Round 79,854 to the thousands place.

a)

79,000

b)

10,000

c)

80,000

d)

9,000

102.

What is 35 rounded to the nearest ten?

a)

30

b)

40

c)

50

d)

45

103.

There are 293 steps to the top of the Leaning Tower of Pisa in Italy. To the nearest hundred, about how many steps are there?

a)

200

b)

300

c)

290

d)

250

104.

Tyler says 753 rounds to 800. Alexis says 753 rounds to 750. Who is correct?

a)

Tyler

b)

Alexis

c)

Both of them are right, it depends on whether you are rounding to the nearest ten or hundred

d)

Niether of them are right

105.

Which 2 numbers can both round to "200" when rounded to the tens place?

a)

192, 204

b)

195, 205

c)

196, 206

d)

196, 204

106.

Sarah spent $48 on school supplies. When rounded to the nearest tens place, about how much money did she spend?

a)

$40

b)

$45

c)

$50

d)

$500

107.

The school has 874 students, about how many students are in the school when rounded correctly?

a)

880

b)

800

c)

870

d)

910

108.

Which number would NOT round to 500?

a)

468

b)

532

c)

447

109.

Which of the following numbers will NOT round to 400 when rounding to the nearest hundred?

a)

409

b)

445

c)

345

d)

398

110.

Round 6,978 to the hundreds place.

a)

7,000

b)

6,900

c)

6,000

d)

6,800

111.

Round 58,345 to the nearest thousand.

a)

58,000

b)

59,000

c)

9,000

d)

58,300

112.

Marsha’s Bakery bakes 678 cupcakes every day. When rounding to the nearest hundreds place, what would be the estimated catch of the week?

a)

1,400

b)

4,900

c)

700

d)

3,500

113.

Mike worked on the farm storing bales of hay in the barn. The first week he stacked 7,487 bales and 4,874 bales on the second week.If you rounded to the nearest ten about how many bales were stored in the barn?

a)

12,361

b)

12,000

c)

12,360

d)

12,450

114.

Keith and Sam both collect marbles. Keith has collected 15,785 and Sam has collected 18,452 marbles. Rounded to the nearest ten thousand about how many marbles do they own together?

a)

34,000

b)

30,000

c)

34,210

115.

There are 347,426 scissors in the stockroom. Sally placed 237,575 more scissors in the stockroom. Rounded to the nearest hundred thousand how many scissors are now in the stockroom?

a)

600,000

b)

585,001

c)

500,000

d)

1,000,000

116.

a)

A

b)

B

c)

C

d)

D

117.

a)

A

b)

B

c)

C

d)

D

118.

a)

A

b)

B

c)

C

d)

D

119.

a)

A

b)

B

c)

C

d)

D

120.

a)

A

b)

B

c)

C

d)

D

121.

a)

A

b)

B

c)

C

d)

D

122.

a)

A

b)

B

c)

C

d)

D

123.

a)

A

b)

B

c)

C

d)

D

124.

a)

A

b)

B

c)

C

d)

D

125.

a)

A

b)

B

c)

C

d)

D

126.

a)

A

b)

B

c)

C

d)

D

127.

a)

A

b)

B

c)

C

d)

D

128.

a)

A

b)

B

c)

C

d)

D

129.

a)

A

b)

B

c)

C

d)

D

130.

a)

A

b)

B

c)

C

d)

D

131.

a)

A

b)

B

c)

C

d)

D

132.

a)

A

b)

B

c)

C

d)

D

133.

a)

A

b)

B

c)

C

d)

D

134.

a)

A

b)

B

c)

C

d)

D

135.

a)

A

b)

B

c)

C

136.

a)

A

b)

B

c)

C

137.

a)

A

b)

B

c)

C

138.

a)

A

b)

B

c)

C

139.

a)

A

b)

B

c)

C

140.

a)

A

b)

B

c)

C

141.

a)

42.1

b)

42

c)

42.06

d)

42.0

142.

a)

94.9

b)

94.8

c)

94.7

d)

95

143.

a)

4.81

b)

4.82

c)

4.80

d)

481

144.

a)

93

b)

92

c)

100

d)

928

145.

a)

609

b)

608

c)

600

d)

610

146.

a)

4.4

b)

4.39

c)

4

d)

43

147.

Round to the nearest hundredth. 7.092

a)

7.09

b)

7.1

c)

7

d)

7.2

148.

Round to the nearest hundredth. 14.048

a)

14.05

b)

14.0

c)

14.1

d)

14.5

149.

a)

9

b)

8

c)

10

d)

11

150.

a)

56

b)

56.2

c)

56.23

d)

57

151.

What is an answer to a multiplication problem?

a)

Product

b)

Sum

c)

Difference

d)

Quotient

152.

What is the answer to an addition problem?

a)

product

b)

difference

c)

sum

d)

quotient

153.

How many operations does the expression

$3-7\div4\times12$ contain?

a)

1

b)

2

c)

3

d)

4

154.

Select any expressions that contain grouping symbols.

a)

$2+3-7$

b)

$5\left(3-1\right)+6$

c)

$65\times78\times2$

d)

$\left|3-8\right|+4$

e)

$4^2$

155.

When simplifying the expression $10\div5\times3$ which operation should you perform first?

a)

Multiplication

b)

Division

156.

When simplifying the expression $17-4+3+6$ which operation should you perform first?

a)

Addition

b)

Subtraction

157.

Which of the steps in GEMDAS requires the left to right rule? Select all that apply.

a)

Grouping

b)

Exponents

c)

Multiply / Divide

d)

Add / Subtract

158.

Simplify the expression $12-4\div2$

a)

6

b)

4

c)

10

d)

14

159.

$18\div3-2\times2$

Simplify the expression

a)

12

b)

2

c)

4

d)

8

160.

Simplify the expression $\left(7-3\right)^2\div4$

a)

2

b)

8

c)

-2/4

d)

4

161.

In the expression 5 - w

the operation is

a)

5

b)

-

c)

w

162.

In the expression 5 - w

the variable is

a)

5

b)

-

c)

w

163.

In the expression 5 - w

the number is

a)

5

b)

-

c)

w

164.

Evaluate if a=4

4 + a

a)

4

b)

0

c)

8

d)

16

165.

Evaluate if a=4

a x 7

a)

3

b)

11

c)

2

d)

28

166.

Evaluate if a=4

a x a - 10

a)

2

b)

6

c)

9

d)

5

167.

Evaluate if b = 9

b + 30 / 6

(a)

168.

Evaluate if b = 9

(b-3) x 4

(a)

169.

Evaluate if b = 9

11 + b - 3

(a)

170.

Evaluate if a = 7 and b = 3

(a x b) - 15

(a)

171.

Evaluate if a = 7 and b = 3

(a + 23) / b

(a)

172.

r(r – 9)
r = 11

a)

12

b)

22

c)

44

d)

99

173.

Evaluate expression x=7, y=15, z=8

9y ÷ (2x+1)

a)

9

b)

3

c)

34

d)

15

174.

Evaluate -4x + 2x³ for x = 2

(a)

175.

Evaluate: 2(x + 2)² for x = -10

(a)

176.

Evaluate: -4(x - 3)² - 12 for x = -2

(a)

177.

How many quadrants are on a graph?

a)

6

b)

1

c)

4

d)

2

178.

The Y-axis goes...

a)

Vertical

b)

zig zag

c)

in a circle

179.

The coordinates for the origin in the coordinate plane are________?

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

180.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

181.

The ________ is all possible x values.

a)

function

b)

range

c)

domain

d)

output

182.

A relation where every input in matches with exactly one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

Dec 8th Math 2 Prob/Variation

Total questions: 182

Worksheet time: 7hrs 38mins

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