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Tables, Graphs, and Equations (CHALLENGING!)

Total questions: 90

Worksheet time: 2hrs 37mins

Name
Class
Date
1.

Unit rate refers to the price of .................

a)

many.

b)

one.

c)

two.

d)

three.

2.

If an equation is proportional, then it is written in the form....

a)

y= mx + b

b)

y = kx

3.

How do you know if a graph is proportional?

a)

The graph is a straight line.

b)

The graph is a straight line that passes through the origin.

c)

The line passes through the origin.

d)

The graph is a curved line that does NOT pass through the origin.

4.

Which table(s) represents a proportional relationship?

a)

Table A, B, and C

b)

Table B and C

c)

Table C only

5.

What is Miguel's rate of savings?

a)

$15 per day

b)

$15 per week

c)

$15 per month

d)

$15 per year

6.

How much money does Miguel have in his saving account at 4 months?

a)

$4

b)

$60

c)

zero dollars

d)

$30

7.

What is the constant rate of change for the Table above?

a)

CROC = 12

b)

CROC = 13

c)

CROC = 14

d)

There is no Constant rate change.

8.

Which of the tables above are proportional?

a)

Table 5 only

b)

Tables 5 and 8

c)

Tables 6 and 7

d)

None of the tables are proportional.

9.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
10.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
11.
Which equation matches the table?
a)
y = 1.2x
b)
y = 0.2x +1
c)
y = x + 1.2
d)
y = x + 0.2
12.
Which equation matches the table?
a)
y = 10x + 5
b)
y = 5x + 10
c)
y = 5x + 20
d)
y = x + 10
13.
What is the function of the table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
14.
What is coordinate X?
a)
(5,2)
b)
(2,3)
c)
(4,4)
d)
(6,6)
15.
Which equation matches the table?
a)
y = 1.5x + 1
b)
y = 0.5x + 1
c)
y = x + 1.5
d)
y = x
16.
What is the equation of the linear function?
a)
y = -3x + 10
b)
y = -3x + 16
c)
y = 3x + 10
d)
y = 3x + 16
17.
What is the equation for this table?
a)
y = -2x + 5
b)
y = 2x + 5
c)
y = 5x - 2
d)
y = 5x + 5
18.
What is the equation for this table?
a)
y = -2x + 5
b)
y = 2x + 5
c)
y = 5x - 2
d)
y = 5x + 5
19.
Write the equation of the line.
a)
y = 1x+1
b)
y=1x-1
c)
y=-1x+1
d)
y=-1x-1
20.
Is the relationship proportional?
a)
Proportional
b)
Not Proportional
21.
What is the y intercept ?
a)
(1,0)
b)
(0-1)
c)
-1
d)
(0,-2)
22.

Write an equation that represents the relationship between the variables in the table.

a)

t=10d

b)

t=d-9

c)

t=10-d

d)

d=t+10

23.
What is the missing value of the table based on patterns?
a)
25
b)
50
c)
75
d)
27
24.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
25.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
26.
What is the function of the table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
27.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

28.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
29.

Match the correct equation with the graph.

a)

y=-3x+2

b)

y=3x

c)

y=5x

d)

y=-3x

30.
2. Cheryl gets paid $8 per hour at her job at the record store.  She made a total of $96 last week.  Write a multiplication equation to show how many hours she worked last week.
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
31.
A taxi driver charges passengers $3 plus $0.50 for each mile traveled. Which of the following expresses the total cost of a taxi ride?
a)
C = 3m - 0.50
b)
C = 3m + 0.50
c)
C = 0.50m + 3
d)
C = 0.50m -3
32.

Patty has already driven 160 miles on her trip to her grandparents’ house. For every hour she travels she drives an additional 55 miles. Which equation represents the relationship between the total miles driven, m, and the number of hours, h.

a)

H = 160m + 55

b)

M = 160h + 55

c)

H = 160 + 55m

d)

M = 160 + 55h

33.
Mike is buying a large pizza. The pizza cost $8.00 plus .50 for each additional topping. Which equation correctly models this situation? (y=mx+b)
a)
y= 8x - .50
b)
y= .50x + 8
c)
y= 8.50x
d)
y= 8x +.50
34.
Bob the plumber charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation? (y=mx+b)
a)
y=15x+40
b)
y=15x
c)
y=40x+15
d)
y=15x-40
35.
A business purchases a computer for $1500. The computer goes DOWN in value $200 each year when the new model is released. Write a function to model the situation.
a)
y=200x+1500
b)
y=1500x-200
c)
y=-200x+1500
d)
y=200x-1500
36.
Ted's Taxi service charges a $5 pick up fee plus $2 per mile. Which equation describes the situation?
a)
y=5x-2
b)
y=5x+2
c)
y=2x+5
d)
y=2x-5
37.
A gym charges a sign up fee of $40 and charges $20 each month. The total fee after m months is $340. Write an equation that represents this problem situation. 
a)
40m + 20 = 340 
b)
20m-40 = 340 
c)
20m + 40 = 340
d)
20 + 340 = 40m 
38.

Which word means "add"?

a)

sum

b)

difference

c)

quotient

d)

product

39.

What word DOES NOT indicate that we switch the order when subtracting?

a)

difference

b)

less than

c)

subtract from

40.

Product means we are

a)

dividing

b)

multiplying

c)

adding

d)

subtracting

41.

Another word for the answer to an equation is

a)

solution

b)

product

c)

sum

d)

expression

42.

Product means:

a)

divide

b)

multiply

c)

add

d)

subtract

43.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
44.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
45.
1. A plant is 5cm tall and growing at a rate of 3cm a month.
a)
5 + 3
b)
5x + 3
c)
5 + 3x
46.
Bob has $150 in his savings account and saves $40 per month.
a)
150 + 40
b)
40x + 150
c)
150x + 40
47.
A holiday meal costs $12.50 a person plus a delivery fee of $30.
a)
30 + 12.5x 
b)
12.5 + 30
c)
12.5 + 30x
48.
Sonia has $40 in her lunch account and pays $2 each day to eat lunch.
a)
40 + 2x
b)
40 - 2x
c)
2 + 40x
d)
2 - 40x
49.
Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
50.
The Origin runs through which ordered pair or coordinate points?
a)
(-1, 0)
b)
(1, 1)
c)
(0, 0)
d)
(0, 1)
51.
Determine the Constant Rate of Change?
a)
-10 ft per second
b)
15 ft per second
c)
10 ft per second 
d)
-15 ft per second
52.
The constant of proportionality in the equation y = ½x is _______. 
a)
x
b)
y
c)
1/2
d)
2
53.
The constant of proportionality in the equation y = 4x is ________
a)
y
b)
4
c)
x
d)
=
54.
a)

y = 4/5x + 3

b)

y = -5/4x + 3

c)

y = 5/4x + 4

d)

y = -4/5x + 3

55.

Match the correct equation with the graph.

a)

y=2x+3

b)

y=2x-3

c)

y=-x-3

d)

y=-2x+3

56.
Hilbert burns 120 calories per 30 minutes of weight training.  Complete the table to chart his calorie expenditure for different amounts of time. What is the value of a?
a)
a= 80
b)
a= 6
c)
a= 60
d)
a= 120
57.
Hilbert burns 120 calories per 30 minutes of weight training.  Complete the table to chart his calorie expenditure for different amounts of time. What is value of b?
a)
b= 80
b)
b= 40
c)
b= 4
d)
b= 240
58.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
59.
REVIEW QUESTION
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
60.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
61.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
62.
Why does this graph show a non-proportional relationship?
a)
Because it is proportional
b)
It goes through the origin
c)
It does not go through the origin
d)
It is a straight line
63.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
64.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
65.
REVIEW QUESTION
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
66.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
67.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
68.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
69.
Bowling costs $4 for shoe rental plus $5 for every game. Which equation shows how much it costs to go bowling for x games?
a)
y = 4 + 5x
b)
y = 5 + 4x
c)
y = 4•5•x
d)
y = 5x - 4
70.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
71.
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?
a)
C = 0.20x + 15
b)
C =15 (0.20x)
c)
C = 15 + x + 0.20
d)
C = 0.20 + 15x
72.
A man is climbing down from 100 feet high descending 30 feet per minute.
a)
y = 100 - 30x
b)
y = 100 + 30x
c)
y = 100x + 30
d)
y = 100x - 30
73.
Write an expression for the following. Jerry has $20 and makes $7 per hour.
a)
y = 7x + 20
b)
y = 7 + 20x
c)
y = 20 + 7
d)
y = 20x + 7x
74.
An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the initial value?
a)
$100
b)
$35
c)
$135
d)
$65
75.
An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the y-intercept?
a)
$100
b)
$35
c)
$135
d)
$65
76.
An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the rate of change?
a)
$100
b)
$35
c)
$135
d)
$65
77.
An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the slope?
a)
$100
b)
$35
c)
$135
d)
$65
78.
 A line has an equation of y = - 3x + 8.  What is the y-intercept of the line?  Please enter your answer as a coordinate (x, y).
a)
(0, -3)
b)
(0, 3)
c)
(0, -8)
d)
(0, 8)
79.
Look at the graph.  Write down the equation for the line.
a)
y = - x + 3
b)
y = 4x + 3
c)
y = 1/x + 3
d)
y = - 4x + 3
80.
Write the equation for this graph? 
a)
y = - 10x + 60
b)
y = - 5x + 60
c)
y = - 1/x + 60
d)
y = - x + 60
81.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
82.
If x represents the number of cakes, and f(x)  is the total amount of dollars charged, then what is the rate of change, in dollars per cake?
a)
8
b)
1/8
c)
-8
d)
-1/8
83.
The cost to rent a paddleboat at the city park includes an initial fee of $7.00, plus $3.50 per hour. Which equation models the relationship between the total cost, y, and the number of hours, x, that the paddleboat is rented?
a)
A
b)
B
c)
C
d)
D
84.
Graph y= -0.2x-5
a)
A
b)
B
c)
C
d)
D
85.
Your in a race. You bypass the person in 2nd place. What place are you in?
a)
1st
b)
2nd
c)
3rd
d)
4th
86.

What is the capital of New York State?

a)

Rochester

b)

New York City

c)

Buffalo

d)

Albany

87.

How many days are in the month of June?

a)

28

b)

30

c)

31

d)

29

88.

Who is the only NBA player ever to win the Finals MVP on the losing team?

a)

Michael Jordan

b)

LeBron James

c)

Jerry West

d)

Kobe Bryant

89.

When was the New York Yankees last LOSING season (lost more than they won)?

a)

2010

b)

1992

c)

1999

d)

2009

90.

Who is the Vice President of the United States?

a)

Mike Pence

b)

Nancy Pelosi

c)

Andrew Cuomo

d)

Michael Cohen