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Unit 3 Part 1 Review

Total questions: 68

Worksheet time: 2hrs 51mins

Name
Class
Date
1.

List the ordered pairs

a)

Input and Output

b)

(0,12), (2,10), (4,8), (6,6)

c)

(12,0), (10,2), (8,4), (6,6)

d)

(6,6)

2.

A relation pairs each input with exactly one output is a

a)

congruence

b)

similarity

c)

function

d)

mathematical equation

3.

Determine if the relation is a function

a)

Not a function, each input has more than one output

b)

Yes it is a function, because each input has exactly on output

c)

Not a function, input is equal to output

d)

Yes it is a function, -1/2 is a fraction of 2

4.

Is the relation a function?

a)

Yes, each input has one output

b)

No, each input has more than one output

c)

No, the cost of the movies is different

d)

Yes, each output has one input

5.

Which of the relations below is a function?

a)

{(2, 3), (3, 4), (5, 1), (2, 4)}

b)

{(2, 3), (3, 4), (6, 2), (7, 3)}

c)

{(2, 3), ( 3, 4), (6, 2), (3, 3)}

6.

Given the relation A = {(5, 2), (7, 4), (9, 10), (x, 5)}. Which of the following values for x will make relation A a function?

a)

7

b)

9

c)

4

7.

The graph of a relation is shown at the right. Is this relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

8.

Which graph represents a function?

a)
b)
c)
d)
9.
a)
Function
b)
Not a Function
10.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
11.
Is this a function? 
a)
Yes 
b)
No
12.

Which among the following is a function?

a)
b)
c)
d)

All of the above

13.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
14.
Is this table a function or not a function? 
a)
Function
b)
Not a Function 
15.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
16.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
17.
Is this a function?
a)
Yes
b)
No
18.
Is this a function? 
a)
Yes 
b)
No
19.

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

a)

Relation

b)

Linear

c)

Exponential

d)

Function

20.

Which graph represents the graph of a linear function?

a)

A

b)

B

c)

C

d)

D

21.

What does 'b" represent in y=mx=b

a)

Y-intercept

b)

The Book of Life

c)

Alphabet letter

d)

Slope

22.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
23.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
24.

Lee charges $3 for a basket and $2.50 for each pound of apples picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of apples from the orchard.

a)

y = 3x + 2.5

b)

y = 2.50x + 3

c)

y = 2.50x

d)

y = 3x + 2.50

25.
You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.
a)
y=15x-25
b)
15x+25y=100
c)
25x+y=15
d)
y=15x+25
26.

What is the y-intercept of the line?

a)

(0,1/2)

b)

(1,0)

c)

(-1/2,0)

d)

(0,-1)

27.

Which situation can be represented by y = 17x - 8?

a)

The number of seeds, y, needed to feed 8 hamsters 17 seeds each.

b)

The earnings from a lemonade stand, y, selling glasses at 17 dollars each with $8 in the tip jar.

c)

The cost, y, of buying 17 movie tickets that sell for $8 each.

d)

The cost, y, of buying Star Wars figurines at $17 each with an $8 discount.

28.

Which of the following are ways to find the rate of change?

a)

Change in y over change in x.

b)

Rise over run.

c)

Subtract y coordinates over subtract x coordinates.

d)

All of the above.

29.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 
a)
200
b)
150
c)
300
d)
75
30.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
31.

A set of ordered pairs is called what?

a)

An Expression

b)

A Relation

c)

A Function

d)

The Vertical Line Test

32.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
33.

Which of the following equations is not a function?

a)

x=10x=10

b)

y=5y=5

c)

y=6x+1y=6x+1

d)

y=x2y=x^2

34.
Which answer choice is true?
a)
The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.
b)
The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.
c)
The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.
d)
The table does not represent a function because there is more than one output for at least one input.
35.

Is the graph pictured a linear or nonlinear function?

a)

Linear

b)

Nonlinear

36.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

37.

Is this function linear or nonlinear?

a)

linear function

b)

nonlinear function

38.

Why is this function linear?

a)

This is a linear function because it does not have a constant rate of change

b)

This is a linear function because it creates a curved line.

c)

This is a linear function because it have a constant rate of change.

d)

This is a linear function because it's y-intercept is (0,2)

39.

Is the function represented by this graph linear or nonlinear?

a)

Linear

b)

Nonlinear

40.

Is the function  y=8x2y=\frac{8}{x^2}  linear or nonlinear?

a)

Linear

b)

Nonlinear

41.

Does this table represent a linear or nonlinear function?

a)

Linear

b)

Nonlinear

42.

Which statement describes this set of coordinates?

a)

Linear function

b)

Nonlinear function

c)

Not a function

43.

Which statement describes this set of coordinates?

a)

Linear function

b)

Nonlinear function

c)

Not a function

44.

Which statement describes this set of coordinates?

a)

Linear function

b)

Nonlinear function

c)

Not a function

45.

Mollie Waffles walks 2 miles (y) per day (x). Is this a linear or nonlinear function?

a)

Linear

b)

Nonlinear

46.

Fingernails grow at a rate of 3.5 mm (y) per month (x). Is this a linear or nonlinear function?

a)

Linear

b)

Nonlinear

47.

Fingernails grow at a rate of 3.5 mm (y) per month (x). How long would your fingernails grow in 3 months?

a)

10.5 mm

b)

3.5 mm

c)

7 mm

d)

14 mm

48.

This table shows the height of my green bean plants that I planted a few weeks ago. Is this a linear or nonlinear function?

a)

Linear

b)

Nonlinear

49.

Which statement best describes this graph?

a)

Linear function

b)

Nonlinear function

c)

Not a function

50.

Is this function linear or nonlinear?

a)

linear function

b)

nonlinear function

51.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
52.

Write an equation that describes the function

a)

y=x-7

b)

y=x+7

c)

y=x*4

d)

y=x-4

53.

Function A is represented by the table. Function B is represented by the equation y = 3x - 4. Which function has the greatest rate of change?

a)

Function A because it has a rate of change of 1/2 and Function B has a rate of change of 1/3.

b)

Function B because it has a rate of change of 3 and Function A has a rate of change of 2.

c)

Function B because it has a rate of change of -4 and Function A has a rate of change of -10.

d)

Function A because it has a rate of change of 10/7 and Function B has a rate of change of 3.

54.

Function A is represented by the equation. Function B is represented by the graph. What is the rate of change of Function A?

a)

5

b)

3/2

c)

2/3

d)

0, 5

55.

Function A is represented by the equation. Function B is represented by the graph. What is the rate of change of Function B?

a)

0, 1

b)

3/2

c)

2/3

d)

0, -1

56.

Function A is represented by the equation. Function B is represented by the graph. Which function has the greater rate of change?

a)

Function A

b)

Function B

57.

Which function has the greater rate of change?

a)

Function A because 4/3 is greater than 2.

b)

Function B because 1/2 is greater than 1/4.

c)

Function A because 4 is greater than 2.

d)

Neither. They both have a rate of change equal to 4.

58.

Which train travels at a greater rate of speed?

a)

Train A

b)

Train B

59.

Valerie and Oscar are contestants on the Biggest Loser. Valerie's weight loss progress is represented by the function W = 235 - 2.5t, where W is her weight in pounds and t is the time in weeks.


Oscar's weight loss progress is represented by the table. Who weighed more at the beginning of the show?

a)

Valerie

b)

Oscar

60.

Valerie and Oscar are contestants on the Biggest Loser. Valerie's weight loss progress is represented by the function W = 235 - 2.5t, where W is her weight in pounds and t is the time in weeks. Oscar's weight loss progress is represented by the table. Who is losing weight faster?

a)

Valerie

b)

Oscar

61.

Which panda is growing faster?

a)

Mochi

b)

Kappa

62.

Derrick started a new job at McDonald's. He makes $10 per hour. Which table models his total weekly earnings in terms of the number of hours he works?

a)
b)
c)
d)
63.

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which equation models the amount she charges over time?

a)

y=50xy=50x

b)

y=20x+30y=20x+30

c)

y=30x+20y=30x+20

d)

20x+30y20x+30y

64.

Which equation represents the table?

a)
b)
c)
d)
65.
Which equation matches the graph? 
a)
y = 3x 
b)
y = x + 3
c)
y = ⅓x
d)
y = x - 3
66.

Which of the following graphs is represented by the linear equation:  y = 23x + 1y\ =\ \frac{2}{3}x\ +\ 1  

a)
b)
c)
d)
67.

Here is a graph of a line showing the amount of money paid for a new cell phone and monthly plan. What does the slope mean in this situation?

a)

The initial cost of the cell phone was $200.

b)

The initial cost of the cell phone was $300.

c)

The monthly plan costs $50 per month.

d)

The monthly plan costs $100 per month.

68.

Here is a graph of a line showing the amount of money paid for a new cell phone and monthly plan. What does the y-intercept mean in this situation?

a)

The initial cost of the cell phone was $200.

b)

The initial cost of the cell phone was $300.

c)

The monthly plan costs $50 per month.

d)

The monthly plan costs $100 per month.

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