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Total questions: 102

Worksheet time: 5hrs 52mins

Name
Class
Date
1.
eight million, four hundred twenty-three thousand, seventy-five
a)
843,750
b)
8,423,750
c)
823,075
d)
8,423,075
2.
What is the value of the blue digit?
435,870,346
a)
80
b)
8,000
c)
80,0000
d)
800,000
3.

The model represents the equation 6x + 6 = 15. What is the first step to finding the value of x?

a)

Subtract 5 circles from each side of the model

b)

Add 3 circles to each side of the model

c)

Add 15 circles to each side of the model

d)

Subtract 25 circles from each side of the model

4.

Which of the following is NOT a unit rate?

a)

2 cars

1 lane

b)

45 miles per hour

c)

27 sandwiches in 3 weeks

d)

2 tanks of gas

1 yard

5.

A letter used to represent a number in an expression or an equation

a)

term

b)

coefficient

c)

constant

d)

variable

6.

The final step in any equation is this.

a)

undo the constant

b)

divide the coefficient

c)

isolate the variable

7.
Sales tax is __________ to the price
a)
subtracted
b)
added
c)
multiplied
d)
divided
8.
Name the constant of proportionality.
a)
8
b)
16
c)
6
d)
3
9.
The high temperature was -7 degrees on Monday and -15 on Tuesday.  On which day was it the warmest?
a)
Monday
b)
Tuesday
10.
How do you know if a graph is proportional?
a)
The line will pass through the origin and be curved.
b)
The line must be straight and pass through the origin.
c)
The line must pass through any point on the "y- line"
d)
The line will be positive.
11.
-32/-8 =
a)
40
b)
-4
c)
-40
d)
4
12.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

y=14x

13.
If it takes 6 hours to mow 4 lawns, how many lawns could you mow in 24 hours at this rate?
a)
36 lawns
b)
16 lawns
c)
8 lawns
d)
12 lawns
14.
Discount is ____________ from the price.
a)
added
b)
divided
c)
subtracted
d)
multiplied
15.

Which equation best represents the relationship between x and y in the graph?

a)

y= 3x +3

b)

y= 3x - 1

c)

y= 1/3x + 3

d)

y= 1/3 x - 1

16.

Set A represents rational numbers. Set B represents integers. Which diagram shows the numbers placed in the correct sets?

a)
b)
c)
d)
17.
Jennie makes quilts. She can make 7 quilts with 21 yards of material. How many yards of material would be required to make 12 quilts?
a)
36 yards
b)
4 yards
c)
147 yards
d)
48 yards
18.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
19.
Angles whose measure sum up to 180 degrees.
a)
Vertical
b)
Adjacent
c)
Complementary
d)
Supplementary
20.
Net worth is found by
a)
subtracting expenses from income
b)
dividing monetary assets by current liabilities
c)
subtracting liabilities from assets
d)
dividing monthly debt by monthly income
21.

-4 - 5

a)

9

b)

1

c)

-9

d)

-1

22.

In Avengers Infinity War, Thanos obtained all 6 infinity stones in the span of a 3 hour movie. How many stones does Thanos obtain per hour?

a)

9

b)

2

c)

3

d)

4

23.

.45

What place is the 4 in?

a)

ten

b)

hundredths

c)

tenths

d)

thousandths

24.

What is a natural number?

a)

any positive number in whole amounts including 0

b)

counting numbers not including 0

c)

any positive or negative whole number including 0

d)

any positive or negative fraction, decimal, or whole number including 0

25.

What is an integer?

a)

any positive number in whole amounts including 0

b)

counting numbers not including 0

c)

any positive or negative whole number including 0

d)

any positive or negative fraction, decimal, or whole number including 0

26.

What is a rational number?

a)

any positive number in whole amounts including 0

b)

counting numbers not including 0

c)

any positive or negative whole number including 0

d)

any positive or negative fraction, decimal, or whole number including 0

27.

3x = 27

a)

x = 7

b)

x = 9

c)

x = 3

d)

x = 27

28.

What is the slope?

a)

-2/1

b)

2/1

c)

1/2

d)

2/2

29.

-25 / -5

a)

-5

b)

5

c)

-20

d)

-30

30.

What is the location of the origin?

a)

(1,1)

b)

(0,1)

c)

(1,-1)

d)

(0,0)

31.

A linear line passes the y-axis at (0,-7). What is my y-intercept?

a)

0

b)

7

c)

-7

d)

1

32.

Write an equation to match the scenario: A plumber charges $25 for a service call plus $50 per hour of service.

a)

y = 25x + 50

b)

y = 25x

c)

y = 25 + 50x

d)

y = 50x

33.

Which graph shows a proportional relationship between x and y?

a)
b)
c)
d)
34.

Which equation can be used to describe the relationship between x and y shown in the graph?

a)

y=2x+5y=2x+5

b)

y=−x+6y=-x+6

c)

y=−2x+5y=-2x+5

d)

y=−12x+8y=-\frac{1}{2}x+8

35.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
36.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
37.

Change this improper fraction into a mixed number: 47/5

a)
9 ⅖
b)
8  7/5
c)
9 ⅕
d)
8 ⅚
38.
Change this mixed number into an improper fraction:
3 ⅝
a)
29/8
b)
37/8
c)
24/5
d)
32/8
39.

If I have a constant of proportionality (k) that equals 2.5, what will the equation be?

a)

2.5 = kx

b)

y = 2.5x

c)

y = k2.5

d)

x = 2.5y

40.

If I have a constant of proportionality (k) that equals 14, what will the equation be?

a)

y = 14x

b)

14 = yx

c)

y = k14

d)

k = 14yx

41.

Which statement is true?

a)

whole numbers are integers and rational numbers.

b)

natural numbers are irrational.

c)

integers are whole numbers and natural numbers.

d)

irrational numbers are natural numbers.

42.

k = y/x


Ally drives 60 miles in 2 hours. What is the constant of proportionality (k)?

a)

k = 2/7

b)

k = 20

c)

k = 30

d)

k = 1/3

43.
Solve for x 
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
44.
Which of the following is a unit rate
a)
56 miles in 2 minutes
b)
$4.59 for 3 pounds
c)
$10 per student
d)
$30 for 15 minutes
45.

Congruent means

a)

double or twice

b)

added together

c)

same or equal

46.
Solve:
-4 + 15 = 
a)
11
b)
-19
c)
-11
d)
9
47.
What is the inverse operation needed to solve the following problem?
x + 8 = 17
a)
Addition 
b)
Subtraction
c)
Multiplication
d)
Division
48.
What is the opposite of -8?
a)
-8
b)
0
c)
8
d)
1/8
49.
Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on green?
a)
1 / 16
b)
1 ⁄ 6
c)
1 ⁄ 8
d)
3 ⁄ 4
50.
A bag has 3 red, 5 blue, and 2 yellow pieces of candy. What is the probability of  drawing a blue piece of candy?
a)
1/2
b)
1/10
c)
3/10
d)
1/3
51.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
52.

What is the probability of spinning a 2 on the spinner?

a)

1/2

b)

1/3

c)

1/8

d)

1/4

53.

What is the probability the spinner stops on yellow?

a)

.075

b)

50%

c)

25%

d)

3/8

54.
A die is rolled. What is the probability that the result is less than 3 ?
a)
1/2
b)
1/3
c)
1/4
d)
1/6
55.

Find the probability of rolling a 7 on a single die.

a)

1/6

b)

7/6

c)

0

d)

7/7

56.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
57.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
58.

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

59.

What is the the probability of NOT landing on purple?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

60.

A bag has 10 marbles. What is the probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

61.
What is the probability of pulling a red marble out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?
a)
1/7
b)
7/20
c)
7/10
d)
3/10
62.

If you were to roll the die one time what is the probability of it landing on a 2?

a)

2/6

b)

1

c)

1/6

d)

1/3

63.
What is the probability of getting an odd number when rolling a single 6 sided die?
a)
1/6
b)
2/6
c)
3/5
d)
3/6
64.

What is the probability of landing on a number greater than 5?

a)

1/3

b)

2/6

c)

1/6

d)

2/3

65.

A bag has 10 marbles. What is the probability of pulling a green marble?

a)

20%

b)

30%

c)

40%

d)

50%

66.

Which event has a probability of zero or impossible to happen?

a)

Rolling a 7 on a 6 sided dice.

b)

Tossing a coin and landing on heads.

c)

Rolling an even number on a dice.

d)

The sun rising in the morning.

67.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
68.

What is the probability of selecting an orange candy from the pictured candy bar?

a)

0%

b)

25%

c)

50%

d)

100%

69.

What is the probability of selecting a green candy from the pictured candy bar?

a)

Certain

b)

Likely

c)

Unlikely

d)

Impossible

70.

According to the meteorologist, there is a 80% chance of rain on Monday. This means that the chance of rain is _________.

a)

Certain

b)

Likely

c)

Unlikely

d)

Impossible

71.

A jar contains 4 blue marbles, 6 green marbles and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is green?

a)

60%

b)

3%

c)

30%

d)

43%

72.

Find the probability of NOT rolling a 3 on a single die.

a)

1/6

b)

2/6

c)

5/6

d)

3

73.

If you select a marble without looking, how likely is it that you will pick a black one?

a)

certain

b)

probable

c)

unlikely

d)

impossible

74.

If you select a marble without looking, how likely is it that you will pick a black one?

a)

certain

b)

probable

c)

unlikely

d)

impossible

75.

If you select a marble without looking, how likely is it that you will pick a black one?

a)

certain

b)

probable

c)

unlikely

d)

impossible

76.

If you select a marble without looking, how likely is it that you will pick a white one?

a)

certain

b)

probable

c)

unlikely

d)

impossible

77.

What is the probability that the spinner will land on yellow?

a)

certain

b)

probable

c)

unlikely

d)

impossible

78.
Which color marble is least likely to be pulled from the jar?
a)
Green 
b)
Red
c)
Blue
79.
Is it likely, less likely, certain or impossible to select a red marble from a box of 12 red marbles?
a)
likely
b)
less likely
c)
certain
d)
impossible
80.
Is it more likely, less likely, equally likely or impossible to select a boy on a field trip from group of 35 students with 12 girls?
a)
more likely
b)
less likely
c)
equally likely
d)
impossible
81.

Roll the Dice:

Is it more or less likely to roll a 2 than a 4?

a)

more likely

b)

equally likely

c)

less likely

d)

impossible

82.

Roll the Dice:

What is the probability of rolling a number greater than 2?

a)

2/6

b)

4/5

c)

4/4

d)

2/3

83.

Roll the Dice:

Which number are you most likely to roll and why?

a)

It is equally likely to roll all of them because there is one of each number.

b)

You are more likely to roll a 6 because there are 6 numbers on the die.

c)

You are more likely to roll a 3 because there is a 50% chance and 3 is half of 6.

d)

It is more likely to roll a two because two is an even number.

84.

Number Tiles:

How likely is that to choose a number greater than 3 than a number less than three?

a)

more likely

b)

less likely

c)

equally likely

d)

highly unlikely

85.

What is the probability when something is impossible?

a)

0

b)

1/4

c)

1/2

d)

1

86.

What is the probability when something is certain?

a)

0

b)

1/4

c)

1/2

d)

1

87.
What is the probability of flipping a coin and getting tails?
a)
1/2
b)
1/3
c)
1/4
d)
Never, Tails never fails.
88.

What is the probability of spinning an odd number?

a)

1/2

b)

2/3

c)

1/6

d)

0

89.
Find the probability of rolling greater than a 1 on a single die.
a)
6/6
b)
5/6
c)
4/6
d)
1/6
90.

What is the probability of landing on a B?

a)

3/8

b)

1/8

c)

2/8

d)

5/8

91.

A bag has 10 blue marbles and 2 red marbles. Which word best describes my probability of picking out a RED marble?

a)

impossible

b)

unlikely

c)

equally likely

d)

likely

92.

A bag has 10 blue marbles and 7 red marbles. Which fraction matches my probability of picking out a RED marble?

a)

7/10

b)

10/7

c)

7/17

d)

10/17

93.

The letters A, B, E, I, P, O, and U are in a hat. What word best describes the probability I pick a vowel out of the hat?

a)

impossible

b)

unlikely

c)

likely

d)

certain

94.

Challenge:

There are 2 red crayons, 4 yellow crayons, 7 green crayons, and 5 blue crayons in a box. What are the odds of picking out a GREEN or YELLOW crayon?

a)

6/12

b)

7/18

c)

11/18

d)

13/18

95.

Challenge:

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

a)

1/12

b)

1/4

c)

1/8

d)

1/2

96.

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

a)
b)
c)
d)
97.
What is the probability of rolling an even number on a die?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
98.
How many total outfit options are represented?
a)
12
b)
22
c)
3
99.
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
100.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
101.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel
102.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

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