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Unit 3 Review

Total questions: 50

Worksheet time: 1hrs 15mins

Name
Class
Date
1.



(a)  

2.
a)

A

b)

B

c)

C

d)

D

3.
a)

A

b)

B

c)

C

d)

D

4.

HINT: LEAVE YOUR ANSWER AS A FRACTION

(a)  

5.
a)

POSITIVE

b)

NEGATIVE

c)

UNDEFINED

d)

ZERO

6.
a)

POSITIVE

b)

NEGATIVE

c)

UNDEFINED

d)

ZERO

7.
a)

POSITIVE

b)

NEGATIVE

c)

UNDEFINED

d)

ZERO

8.

True or False:

Is the following graph proportional?

a)

True

b)

False

9.
a)

POSITIVE

b)

NEGATIVE

c)

UNDEFINED

d)

ZERO

10.

  Spongebob wants to connect the points on the graph below, but he can use only horizontal and vertical lines. 

 

Which statement is true about connecting Point A to Point B?

a)

A.      the points has a rise of –6 and a run of 3

b)

the points has a rise of 3 and a run of –6.

c)

the points has a rise of 3 and a run of 6.

d)

the points has a rise of –6 and a run of –3. 

11.
a)

A

b)

B

c)

C

d)

D

12.

The slope of  is AB

a)

1/2

b)

2

c)

-1/2

d)

-2

13.

The y-intercept of AB

a)

7

b)

6

c)

4

d)

3

14.
a)

The slope of LN is less than the slope of NP , because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for LN than it is for NP .

b)

A.    The slope of LN is greater than the slope of NP , because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for LN  than it is for NP .

c)

A.    The slope of LN is equal to the slope of NP, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for LN  as it is for NP

d)

 

The relationship between the slope of LN and the slope of NP cannot be determined, because the triangles are congruent.

15.

3.      The total profit from the choir class fundraiser varies directly with the number of carnival tickets sold. The sale of 22 tickets results in a profit of $198.

 

How many tickets must be sold to reach the fundraising goal of $585?

 

Record your answer in the boxes below. Be sure to use the correct place value.

(a)  

16.

A proportional relationship is written used which of the following equations?

a)

y=kxy=kx  

b)

y=kx+by=kx+b  

17.

True or False:

Is the following graph proportional?

a)

True

b)

False

18.

Determine whether the rates of change are constant or variable.

a)

Constant, the rates are the same.

b)

Variable, the rates are not the same.

c)

Constant, the rates are not the same.

d)

Variable, the rates are the same.

19.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

-2

20.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

21.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

22.
Which graph represents x=2?
a)
A
b)
B
c)
C
d)
D
23.
Which equation matches the graph?
a)
y = 5
b)
y = -5
c)
x = -5
d)
x = 5
24.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
25.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
26.
What variable represents y-intercept? 
a)
y
b)
x
c)
m
d)
b
27.

Determine the y-intercept from this table.

(a)  

28.

Determine the y-intercept from this table.

(a)  

29.

What is the Slope and y-intercept represented in this table?

a)

slope: −14-\frac{1}{4} , y-intercept: -20

b)

slope: −4-4 , y-intercept: -17

c)

slope: 14\frac{1}{4} , y-intercept: 0

d)

slope: 44 , y-intercept: -21

30.

What is the slope and y-intercept represented in the table?

a)

slope: 12\frac{1}{2} , y-intercept: 7

b)

slope: 22 , y-intercept: 7

c)

slope: −12-\frac{1}{2} , y-intercept: 0

d)

slope: −2-2 , y-intercept: 0

31.
What does the slope mean in the context of the problem?
a)
The cost will increase by $1.40 per topping
b)
The cost will decrease by $1.40 per topping
c)
The cost will increase by $1.90 per topping
d)
The cost will decrease by $1.90 per topping 
32.
What is the meaning of the y-intercept?
a)
The hamburger will cost $1.90 without any toppings.
b)
The hamburger will cost $1.40 without any toppings. 
c)
The cost of the hamburger is $1.90 with one topping
d)
The cost of the hamburger doesn't change no matter how many toppings there are.
33.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
34.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
35.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
36.
Which best describes the equation?
y = 75x
a)
Proportional
b)
Nonproportional
37.
Does the equation show a proportional relationship?
a)
Yes
b)
No
38.

Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the verticces are integers. Which statement is true about the slope of line HK and the slope of line PK.

a)

The slope of line HK is less than the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for line HK than it is for line PK.

b)

The slope of line HK is equal to the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for line HK as it is for line PK.

c)

The slope of line HK is greater than the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for line HK than it is for line PK.

d)

The relationship between the slope of line HK and the slope of line PK cannot be determined because the traingles are congruent.

39.
a)
b)
c)
d)
40.
How do you calculate slope using a graph?
a)
rise over run
b)
run over rise
c)
look at the y intercept
d)
look at the x intercept
41.
What is the slope of line 2?
a)
1
b)
-1
c)
undefined
d)
0
42.
What is the slope of line 4?
a)
2/3
b)
3/2
c)
- 6/4
d)
- 3/2
43.

How do you find rate of change?

a)

Rate of change = slope! (y-y)/(x-x)

b)

Nsolve

c)

Rate of change = slope! Menu 413 -->

m = slope

d)

Cross multiply and divide by the leftover number

44.

In the equation y=kx, k is called the ______.

a)

Independent Variable

b)

Dependent Variable

c)

Constant of Variation

d)

Statement of Variation

45.

If y varies directly as x and y = 18 when x = 3, Find y when x = 7.

a)

16

b)

34

c)

42

d)

49

46.

Using the standard formula of direct variation, find x if k=2 and y=4.

a)

8

b)

1/2

c)

4

d)

2

47.

What does "k" stand for in the direct variation equation?

a)

constant of equality

b)

constant of proportionality

c)

constant of non-proportionality

48.

What type of relationship is a direct variation.

a)

proportional

b)

non-proportional

49.

Which is the following is the equation format for direct variation?

a)

y = mx + b

b)

y = kx

c)

k = yx\frac{y}{x}  

50.

What is the equation to find "k", the constant of proportionality?

a)

k = yx\frac{y}{x}  

b)

y = kx

c)

y = mx + b

d)

k = xy\frac{x}{y}