Free Printable Unit 5 Functions Review

1.

Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of test tubes costs $4 less than a set of nested beakers. An equation that shows the cost of a pack of test tubes, t, in terms of the cost of a set of beakers, b, is:

a)

t = b - 4

b)

t = b + 4

c)

t = 4b - 12

d)

t = 12b - 8

2.

Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes, spending $348 for lab supplies.

a)

12b - 8t = 4

b)

12b + 8t = 348

c)

10t - 4b = 348

d)

12b + 8(10t-4) = 348

3.

Andre’s school orders some new supplies for the chemistry lab.

The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. Which option correctly represents the relationship between t and b?

a)

t = b - 4; also, b = t + 4

b)

t = b + 4; also, b = t - 4

c)

t = 4b; also, b = t/4

d)

t = b/4; also, b = 4t

4.

Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes and spends $348 on lab supplies. How much did the school pay for a set of beakers? For a pack of test tubes?

a)

beakers cost $16 and test tubes cost $20

b)

beakers cost $19 and test tubes cost $15

c)

beakers cost $18 and test tubes cost $14

d)

beakers cost $15 and test tubes cost $11

5.

Complete the table for the function rule.

a)

input: 0, 4, 8, 12

output: 2, 3, 4, 5

b)

input: 0, 1, 2, 3

output: 2, 4, 6, 8

c)

input: 0, 2, 4, 6

output: 2, 2.5, 4.5, 6.5

6.

For what value of x do these expressions have the same value: 2x + 3 and 3x - 6?

a)

9

b)

6

c)

-9

d)

3

7.

Solve the system of equations: $y = x - 4$ and $y = 6x - 10$ and select the correct solution.

a)

(6/5, -14/5)

b)

(14/5, -6/5)

c)

(-6/5, 14/5)

d)

(2, -2)

8.

Find the output when the input is -6

a)

36

b)

-36

c)

6

d)

-6

9.

When the output is 27 cm³ is the input (in cm)?

a)

3

b)

27

c)

9

d)

81

10.

Complete the table using this function rule

a)

input: -7, 0, 7, 14

output: -14, -7, 0, 7

b)

input: -7, 0, 7, 14

output: 0, -7, 0, -7

c)

input: 0, 1, 2, 3

output: -7, -14, -21, -28

d)

input: 0, 1, 2, 3

output: -7, -8, -9, -10

11.

A group of students is timed while sprinting 100 meters.

Each student’s speed can be found by dividing 100 by their time.

Choose the correct statement.

a)

Speed is a function of time.

b)

Time is a function of distance.

c)

Speed is a function of number of students racing.

d)

Time is a function of speed.

12.

Diego’s history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questions: multiple choice worth 3 points each, and essays worth 8 points each. How many essay questions are on the test?

a)

7

b)

9

c)

11

d)

13

13.

The solution to a system of equations is (6,-3). Choose two equations that might make up the system.

a)

y = -3x + 6

b)

y = 2x – 9

c)

y = -5x + 27

d)

y = 2x – 15

e)

y = -4x + 27

14.

An equation relating a circle's radius and area is:

a)

A = πr²

b)

C = 2πr

c)

r = A/π

d)

A = 2πr

15.

Find a value of x that makes the equation true: − (−2x + 1) = 9 − 14x. Choose the correct value of x.

a)

1/2

b)

5/8

c)

-5/6

d)

7/8

16.

Represent the function where the value v of your quarters (in cents) is a function of n (the number of quarters you have)

a)

v = 25n

b)

n = 25v

c)

v = 25+n

d)

v(n) = 25

17.

Given that v, the value (in cents) of your quarters, is determined by the number of quarters n you have, find the output when n = 10.

a)

250

b)

100

c)

150

d)

200

18.

In the function where the value v of your quarters (in cents) is a function of n, the number of quarters you have, what is the independent variable and what is the dependent variable?

a)

Independent variable: n

Dependent variable: v

b)

Independent variable: v

Dependent variable: n

19.

Diego runs a 10 kilometer race and keeps track of his speed. What was Diego's speed at the 9.5 kilometer mark?

a)

11 km/hr

b)

3 km/hr

c)

10.5 km/hr

d)

can't be determined

20.

Diego runs a 10 kilometer race and keeps track of his speed. According to the graph, where was Diego when he was going the slowest during the race?

a)

At the beginning of the race

b)

At the midpoint of the race

c)

At the finish line of the race

d)

Around 3 kilometers

21.

Diego runs a 10 kilometer race and keeps track of his speed.

Describe what happened from 8 km to 10 km

a)

His speed increased, then he maintained a constant rate.

b)

His speed decreased from 12 km/hr to

10 km/hr.

c)

His speed remained constant, then he sprinted to the

finish line.

d)

His speed varied unpredictably.

22.

In a certain city in France, they gain 2 minutes of daylight each day after the spring equinox (usually in March), but after the autumnal equinox (usually in September) they lose 2 minutes of daylight each day. Which of the graphs is most likely to represent the graph of daylight for the month after the spring equinox?

a)

A

b)

B

c)

C

d)

D

23.

In a certain city in France, they gain 2 minutes of daylight each day after the spring equinox (usually in March), but after the autumnal equinox (usually in September) they lose 2 minutes of daylight each day. Which of the graphs is most likely to represent the graph of daylight for the month after the autumnal equinox?

a)

A

b)

B

c)

C

d)

D

24.

Choose the description that best fits this function graph.

a)

Tyler pours the same amount of milk from a bottle every morning.

b)

A plant grows the same amount each week.

c)

The day started very warm and then it got colder.

d)

A carnival charges an entry fee of $5, and tickets for rides are

$1 each

25.

Choose the description that best fits this function graph.

a)

Tyler pours the same amount of milk from a bottle every morning.

b)

A plant grows the same amount each week.

c)

The day started very warm and then it got colder.

d)

A carnival charges an entry fee of $5, and tickets for rides are

$1 each

26.

Choose the description that best fits this function graph.

a)

The area of a square depends on the length of its side.

b)

The day started very warm and then it got colder.

c)

A carnival charges an entry fee of $5, and tickets for rides are

$1 each

d)

Jada mows lawns and earns $7 per hour.

27.

Which function rule cannot have an input value of 3?

a)

3 divided by the input

b)

add 4 to the input, then divide into 3

(that means 3 divided by the number)

c)

subtract 3 from the input, then divide into 1 (that means 1 divided by the number)

d)

subtract 3 from the input then divide by 1

28.

Which function rule cannot have an input value of 0?

a)

3 divided by the input

b)

add 4 to the input, then divide into 3

(that means 3 divided by the number)

c)

subtract 3 from the input, then divide into 1 (that means 1 divided by the number)

d)

subtract 3 from the input then divide by 1

29.

Which function rule cannot have an input value of -4?

a)

3 divided by the input

b)

add 4 to the input, then divide into 3

(that means 3 divided by the number)

c)

subtract 3 from the input, then divide into 1 (that means 1 divided by the number)

d)

subtract 3 from the input then divide by 1

30.

The area A of a circle with radius r is given by the equation A = $\pi r^2$

Find the output when the input is 2.

a)

3.14(4) = 12.56

b)

3.14(2) = 6.28

c)

3.14/4 = 0.78

d)

3.14/2 = 1.57

31.

The area A of a circle with radius r is given by the equation A = $\pi r^2$

Find the input when the output is 12.56.

a)

12.56/3.14 = 4, so the radius is 2

b)

6.28/3.14 = 2, so the radius is 2

c)

3.14/12.56 = 0.25, so the radius is 0.25

d)

12.56/2 = 6.28, so the radius is 6.28

32.

Is the graph a function?

a)

No, it doesn't pass the vertical line test

b)

Yes, because distance is a function of time

c)

Yes, because time is a function of distance

d)

Yes, because

each output has a unique input

33.

This graph represents the amount of money remaining on a subway card as a function of the number of rides taken.

What does point P tell you about the situation?

a)

After taking 7 rides, there is $27.50 left on the card

b)

7 rides cost $27.50

c)

(7, 27.5) is the input-output pair for point P

d)

There isn't enough information to interpret point P

34.

This graph represents the amount of money remaining (y) on a subway card after x rides. Represent this situation with an equation.

a)

2 rides cost $5, and the initial value is $45

y = 45 - 2.5x

b)

10 rides cost $20, and the initial value is $45

y = 45 - 2x

c)

slope = -1/2 and

y-intercept = 45

y = (-1/2)x + 45

d)

slope = 20-5 = 15

16-10 6

y-intercept = 45

y = 2.5x + 45

35.

Choose the best description of the graph

a)

distance is a function of time, d = 60t

b)

time is a function of distance, d = 60t

c)

The slope of the line is 60 and time depends on distance.

d)

The relationship is proportional and time is the output.

36.

Choose the true statement

a)

Area depends on radius.

b)

The relationship between radius and area is linear.

c)

Radius is a function of area.

d)

In this graph, the inputs are 1, 2, 3 and the outputs are 1, 4, 9

Unit 5 Functions Review

Total questions: 36

Worksheet time: 25mins

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