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Math Relays Review

Total questions: 62

Worksheet time: 3hrs 50mins

Name
Class
Date
1.

Find the unit rate (how many minutes per video):

24 minutes to watch 4 videos

a)

4 minutes/video

b)

4 videos/minute

c)

6 minutes/video

d)

8 minutes/video

2.

Find the unit rate (how many avocados per bag):

42 avocados in 7 bags

a)

7 avocados/bag

b)

6 avocados/bag

c)

7 bags/avocado

d)

14 avocados/bag

3.

Find the unit rate:

48 markers in 8 packs


(a)   markers per pack

4.

Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon?

a)

31 mpg

b)

17 mpg

c)

51 mpg

d)

15 mpg

5.

Tyler is trying out for cross-country. He currently runs 12 miles in 3 hours. The coach needs runners who can run 5mi per hour or less. Does he make it? Why?

a)

No, he runs 3 mi per hour.

b)

Yes, he runs 4 mi per hour.

c)

No, he runs 4 mi per hour.

d)

Yes, he runs 3 mi per hour.

6.

48=36\frac{4}{8}=\frac{3}{6}  

a)

True

b)

False

7.


45=8x\frac{4}{5}=\frac{8}{x}  

a)

x = 8

b)

x = 10

c)

x = 4

d)

x = 5

8.
a)

c = 4

b)

c = 8

c)

c = 14

d)

c = 10

9.
The ratio of boys to girls in history class is 4 to 5. How many girls are in the class if there are 12 boys in the class?
a)
12 girls
b)
15 girls
c)
5.3 girls
d)
27 girls
10.
A 6-ounce package of fruit snacks contains 45 pieces.  How many pieces would you expect in a 10-ounce package?
a)
25 pieces
b)
35 pieces
c)
75 pieces
d)
70 pieces
11.
Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?
a)
$1.40
b)
$6
c)
$0.60
d)
$14
12.
200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?
a)
800
b)
180
c)
80
d)
120
13.

The bill amount is $6.68.

What would the tip be if you left 23%?

a)

$4.22

b)

$5.91

c)

$1.54

d)

$0.52

14.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter? 
a)
35%
b)
25%
c)
30%
d)
20%
15.
The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.
a)
52%
b)
41%
c)
42%
d)
45%
16.

The Game Stop is having a sale on an originally $60.64 game. It is on sale for $29.99. What is the percent change?

a)

50.5% Decrease

b)

50.5% Increase

c)

505% Decrease

d)

505% Increase

17.

A family sells a car to a dealership for 60% less than they paid for it. They paid $9,000 for the car. For what price did they sell it?

a)

$4000

b)

$2600

c)

$2200

d)

$3600

18.

What is the sample space when rolling a regular number cube?

a)

1

b)

2, 4, 6

c)

1, 2, 3, 4, 5, 6

d)

6

19.
What is the probability of landing on the color blue on the spinner?
a)
3/3
b)

1

c)
3/12 or 1/4
d)

3/9 or 1/3

20.
What is the probability of the spinner landing on red?
a)
5/12
b)

7/12

c)
5/5
d)

5/10 or 1/2

21.

A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/10

d)

1/9

22.

Which of the following best describes the likelihood of the spinner landing on a number less than 6?

a)

impossible

b)

unlikely

c)

equally likely

d)

likely

e)

certain

23.
Probability is ...
a)
the chance that some event will occur.
b)
a game that involves coins.
c)
a guarantee.
24.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
25.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
26.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
27.
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%
28.

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.


P (penny, then dime).

a)

1/8

b)

9/100

c)

6/65

d)

17/195

29.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

30.

A coin is tossed and then a regular 6-sided die is rolled. What is the probability of the resulting outcome being

(tails, even)?

a)

1/2

b)

1/12

c)

1/6

d)

1/4

31.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
32.

If you pick a red marble and keep it, how does that change the probability of getting a green marble when you pick a second time?

a)

No change

b)

More likely

c)

Less likely

d)

Impossible

33.
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
34.
An event that consists of two or more events
a)
 event
b)
dependent events
c)
experiment
d)
compound event
35.
How do you find compound probability?
a)
Multiply your probabilities
b)
Add your probabilities
c)
Divide your probabilities
d)
Subtract your probabilities
36.
The outcome of one event does not influence the outcome of the other event
a)
independent event
b)
tree diagram
c)
simple event
d)
odds
37.
The outcome of one event does influence the outcome of the other event
a)
mutually exclusive event
b)
probability
c)
dependent event
d)
simple probability
38.
Victor picks a card at random. Without putting the first card back, he picks a second card at random.
a)
Dependent
b)
Independent
39.
Clara picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
40.
A bag contains 50 lottery balls, numbered 1-50. A ball is chosen at random, then a month of the year is selected. What is the probability of choosing a multiple of 3 and a month starting with the letter “M”? 
a)
7/50
b)
8/125
c)
1/20
d)
4/75
41.

What is the probability for picking a waffle cone?

a)

1/8

b)

1/2

c)

4/8

d)

3/4

42.

When do you "flip the inequalities sign"?

a)

When you add or subtract a negative

b)

When it's a 1-step problem

c)

When you multiply or divide a negative

d)

When it's a 2-step problem

43.

Will the graph be an open circle or closed circle? -6x + 1 < 4

a)

Closed Circle

b)

Flip the sign

c)

Open Circle

d)

Don't flip the sign

44.

When graphing an inequality, you use an OPEN dot when you use which symbol?

a)

<, >

b)

≤, ≥, =

c)

≤, <

d)

≥, >

45.

When you graph an inequality, you used a CLOSED dot when you use which symbols?

a)

≤, ≥, =

b)

<, >, =

c)

≤, <

d)

≥, >

46.
Which expression is equivalent to 6(3y - 2y + 7)?
a)
18y + 7
b)
21y - 14y + 7
c)
18y + 42
d)
6y + 42
47.

Choose the equivalent expression.

15 + 4(5y + 10)

a)

5y + 25

b)

20y - 25

c)

20y + 40

d)

20y + 55

48.
(6x + 3y + 4) – (x + y – 5)
a)
5x + 2y + 9
b)
7x + 2y + 9
c)
7x + 4y + 9
d)
5x + 2y -1
49.
Factor:  
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
50.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

51.

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

a)

term

b)

coefficient

c)

constant

d)

variable

52.

In math, this basically means opposite

a)

inverse

b)

equation

c)

expression

d)

constant

53.

A mathematical sentence stating that two expressions are equal

a)

variable

b)

expression

c)

equation

d)

term

54.

What will you do to solve this equation?

4x = 16

a)

divide both sides by 4

b)

multiply both sides by 4

c)

subtract 4 from both sides

d)

divide both sides by 16

55.

3x+1=7

a)

2

b)

83\frac{8}{3}

c)

3

d)

8

56.

(x+2)2=4\frac{\left(x+2\right)}{2}=4  Solve for x

a)

6

b)

0

c)

2

d)

4

57.

3 + 5n = 5n + 3

a)

One Solution

b)

No Solution

c)

Infinite Solutions

58.

x+65 = 10\frac{x+6}{5}\ =\ 10

What is the first step?

a)

Subtract 6

b)

Subtract 10

c)

Multiply by 5

d)

Divide by 5

59.
Solve:
2(a + 4) = 2a - 8 + 4a
a)
3
b)
-3
c)
-4
d)
4
60.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
61.
Solve:
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
62.
Solve for g: 
2g - 3 + 4g = 27
a)
g = 12
b)
g = 4
c)
g = 5
d)
g = 15

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