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MSA Unit Review

Total questions: 50

Worksheet time: 4hrs 10mins

Name
Class
Date
1.

Anthony runs a bicycle courier company that charges $3 for delivery plus $0.50 per mile. Which equation matches this relationship?

a)

m = 3c + 0.5

b)

c = 3m + 0.5

c)

c = 0.5m + 3

d)

m = 0.5c + 3

2.
A bamboo reed is planted when it is 12 centimeters tall. It grows 2.2 centimeters per week. Which equation shows h, height as it relates to the number of weeks, w.
a)
w = 12h + 2.2
b)
h = 12w + 2.2
c)
w = 2.2h + 12
d)
h = 2.2w + 12
3.
Charlie starts with $350 in his savings account. He withdraws $15 per week from his account. What is the starting point or y-intercept for this situation?
a)
 15
b)
350
c)
 -15
d)
-350
4.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
5.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
6.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
7.

Slope is...

a)

rise/run

b)

run/rise

c)

neither

d)

both

8.

Find the slope:

(hint: use the formula)

(-1,-9) and (5, -6)

a)

-15

b)

1/2

c)

-3/6

d)

11/3

9.
Write an equation if m=-3 and b=7
a)
y=3x+7
b)
y=7x+3
c)
y=-3x+7
d)
y=7x-3
10.
Which equation matches the table below?
a)
y = 3x - 6
b)
y = -3x + 6
c)
y = 3x + 6  
d)
y = -3x - 6
11.

What two things do you need in order to write a linear equation?

a)

Rate and co-efficient

b)

Rate and m

c)

starting point and donation

d)

rate and y-intercept

12.

For the straight line y = -2x + 3, what are:

a) the slope

b) the y-intercept?

a)

a) slope = 2

b) y-intercept = -3

b)

a) slope = -2

b) y-intercept = 3

c)

a) slope = 3

b) y-intercept = -2

d)

a) slope = -2x

b) y-intercept = 3

13.
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
14.

Is the following equation proportional or non proportional:

y= 5 + 3x

a)

Proportional

b)

Non-Proportional

15.

Is the following equation proportional or non proportional:

y= 4x

a)

Proportional

b)

Non-Proportional

16.

If y=9x+8, find y if x=-5

a)

-30

b)

-37

c)

53

d)

-53

17.

If y=3.5x-4, find x if y = 3

a)

1

b)

2

c)

-3

d)

-4

18.
Calculate the slope.
a)
m=-4/3
b)
m=4/3
c)
m=-3/4
d)
m=3/4
19.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
20.
What is the slope in the equation:
y = 12 + 5x
a)
12
b)
5
c)
17
d)
0
21.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
22.
What is the slope?
a)
2/5
b)
5/2
c)
3
d)
5.5
23.
What is the slope?
a)
3/5
b)
5/3
c)
-2
d)
-8
24.

y = mx + b


m is the....................

a)

slope

b)

y intercept

c)

the 14th letter of the alphabet

d)

rate of change

25.

A ride on the bus cost $ 0.90 plus $ 0.15 per mile.

Write an equation to represent this scenario.

a)

y = .90x + .15

b)

y = .15x + .90

c)

y = .90x

d)

y = .15x

26.

Write the equation

a)

y = -x + 10

b)

y = 7x

c)

y = -x + 13

d)

y = x + 10

27.

Write the equation . Look at the table carefully!

a)

y = 3x

b)

y = 3x + 8

c)

y = 8x + 3

d)

y = 4x + 3

28.
What does "m" represent in y=mx+b?
a)
constant rate of change
b)
coefficient of x
c)
unit rate
d)
all of these
29.

Which label represents the independent variable?

a)

Time

b)

Money

c)

Babysitting

30.

Which label represents the dependent variable?

a)

Time

b)

Money

c)

Babysitting

31.

What is the independent variable in this graph?

a)

Bikers

b)

Miles

c)

Hours

32.

What is the dependent variable in this graph?

a)

Bikers

b)

Miles

c)

Hours

33.

What does b represent in y = mx + b?

a)

y-intercept (one-time fee/ initial amount)

b)

constant rate of change

c)

base amount

d)

constant of proportionality

34.

What point below lie on the line y=3x-4? Select all that apply.

Hint: Use Substitution

a)

(4, -13)

b)

(-2, 10)

c)

(-1, -7)

d)

(-1, 9)

35.

If the table is linear, write a linear equation in the form y=mx+b

a)

It is not linear so you can't write an equation

b)

y=4/3x+5

c)

y=3/4x+5

d)

y=-4/3x+5

36.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
37.
What direction is an undefined slope?
a)
horizontal
b)
vertical
38.
Find the error the student made:
2x + 60 = 6x + 50
8x + 60 = 50
8x = -10
x = -1.25
a)
Divided by the wrong number
b)
Added 6x, should have subtracted
c)
Subtracted 60, should have added
d)
There is no error, the answer is correct
39.

Does this graph show a linear relationship?

a)

Yes, it has straight line segments

b)

No, it is not a continuous straight line and there is no consistent rate of change

c)

No, it has no labels on the axis

40.

Which line(s) represents a proportional relationship?

a)

Sponsor A

b)

Sponsor B

c)

Sponsor C

41.
What does the y-intercept represent in this graph?
a)
Every minute 60 students got off the bus.
b)
There were 60 students to start with on the bus ride. 
c)
Each minute, 10 students got off the bus. 
d)
60 students rode the bus every minute. 
42.
What does the slope represent in this graph?
a)
5 students got off the bus every minute. 
b)
10 students got off the bus every minute. 
c)
2 students got off the bus every minute. 
d)
60 students got off the bus every minute. 
43.
Simplify:
5(3x+1)
a)
15x+1
b)
15x+5
c)
8x+1
d)
8x+6
44.

Solve for x.


3(x+1)=2x+8

a)

-5

b)

5

c)

1

d)

No solution

45.

Which pouches and coins model matches the equation?

4(x + 2) = 12

a)
b)
c)
d)
46.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
47.
A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent? 
a)
120 miles
b)
100 miles
c)
110 miles
d)
150 miles 
48.
I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. If I were to rent 6 videos which club would be the better deal? How much would I spend? 
a)
A; $25 
b)
A; $30
c)
B; $25
d)
B; $27
49.
Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies? 
a)
2 miles 
b)
4 miles
c)
.50 mile
d)
-4 miles 
50.
Solve the equation
12x - 15 = 3(2x + 3)
a)
x = 4
b)
x = -4
c)
x = 2
d)
x = -2