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Unit 4 study help

Total questions: 89

Worksheet time: 4hrs 6mins

Name
Class
Date
1.
a)

A

b)

B

c)

C

d)

D

2.
a)

A

b)

B

c)

C

d)

D

3.
a)

A

b)

B

c)

C

d)

D

4.
a)

A

b)

B

c)

C

d)

D

5.
a)

A

b)

B

c)

C

d)

D

6.
a)

A

b)

B

c)

C

d)

D

7.
a)

A

b)

B

c)

C

d)

D

8.
a)

A

b)

B

c)

C

d)

D

9.
a)

A

b)

B

c)

C

d)

D

10.
a)

A

b)

B

c)

C

d)

D

11.
a)

A

b)

B

c)

C

d)

D

12.
a)

A

b)

B

c)

C

d)

D

13.

Based on the graph, which of the statements appears to be true?

a)

The ribbons sold by Erica on day 18, is 6 less than the number sold by Frank.

b)

The ribbons sold by Frank on day 18, is 6 less than the number sold by Erica.

c)

The number of ribbons sold on day 18, is the same for both Frank and Erica

d)

The number of ribbons sold on day 18 cannot be determined for either Frank or Erica.

14.

Explain why the answer to this question is 6, and not 15:

a)

The answer actually is 15, NOT 6.

b)

Neither answer is correct for this problem.

c)

Because 6 is the number of days, and the question is asking for the number of ribbons left.

d)

Because 15 is the number of ribbons left, and the question is asking for the number of days.

15.

Answer the question presented with the graph:

a)

15

b)

30

c)

33

d)

24

16.
These two lines intersect at _____.
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4) 
d)
No solution
17.
a)
(-1, -4)
b)
(-1, -3)
c)
(-3, -1)
d)
(-4, -1)
18.

Where do these two lines intersect?

a)

(-3, 2)

b)

(-2, 3)

c)

(3, -2)

d)

(2, 3)

19.
a)
(-3, 0)
b)
(0, 3)
c)
(3, 0)
d)
(0, -3)
20.
a)
(2, 0)
b)
(-2, 0)
c)
(0, 2)
d)
(0, -2)
21.
a)
(2, -1)
b)
(-1, 2)
c)
(-2, 1)
d)
(1, -2)
22.
a)
(2, -2)
b)
(2, 2)
c)
(-2, 2)
d)
(-2, -2)
23.

What is the solution to the system of equations?

a)

(-3, 4)

b)

(3, 4)

c)

(-4, 3)

d)

(4, 3)

24.

What is the solution to the system of equations?

a)

(2, 3)

b)

(-3, 2)

c)

(2, -3)

d)

(3, 2)

25.

What is the solution to the system of equations?

a)

(-5, -2)

b)

(2, -5)

c)

(2, 5)

d)

(-5, 2)

26.

What is the solution to the system of equations?

a)

(-3, -4)

b)

(-4, 3)

c)

(4, -3)

d)

(-3, 4)

27.

Give the point of intersection for the simultaneous equations.

a)

(-2, -8)

b)

(-8, -2)

c)

(2, -8)

d)

doesn't have one

28.

What is the solution to the system of equations?

a)

(4, 1)

b)

(-4, -1)

c)

(1, 4)

d)

(-1, 4)

29.

What is the solution to the system of equations?

a)

(-5, -2)

b)

(2, -5)

c)

(2, 5)

d)

(-5, 2)

30.

What is the solution to the system of equations?

a)

(3, -2)

b)

(3, 2)

c)

(2, 3)

d)

(2, -3)

31.

What is the solution to the system of equations?

a)

(5, 2)

b)

(2, 5)

c)

(-5, 2)

d)

(-2, -5)

32.
What is the slope-intercept equation?
a)
y= - 5/2x - 1
b)
y= - 2/5x + 1
c)
y= - 5/3x - 1
d)
y= 3/5x + 1
33.

What is the slope intercept equation for this table?

a)

y=2x + 7

b)

y = -2x +3

c)

y= 3x + 3

d)

y= 7x + 2

34.
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
35.
Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.
a)
y = 3x + 2.5
b)
y = 2.50x + 3
c)
y = 2.50x 
d)
y = 3x + 2.50
36.
What is the slope-intercept equation?
a)
y= - 5/2x - 1
b)
y= - 2/5x + 1
c)
y= - 5/3x - 1
d)
y= 3/5x + 1
37.

Which linear function best describes the graph above?

a)

y=3/5x+4

b)

y=5/3x+4

c)

y=3/5x-6.5

d)

y=5/3x+6.5

38.

What is the algebraic equation for the following table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

39.

What is the slope-intercept equation?

a)

y= 4x - 17

b)

y = 4x - 21

c)

y = 21x - 4

d)

y= -1x + 4

40.

Carlos bought a video game. He made an initial payment of $75 to the store, and he will pay $5 each month until the game is paid off. Which equation represents the relationship between m, the number of monthly payments Carlos has made, and t, the total amount that Carlos has paid the store?

a)

t = 75m + 5

b)

t = 5m - 75

c)

t = 75m + 80

d)

t = 5m + 75

41.

Ashley is saving $18 that she earned for babysitting. She earns $7 every week for doing chores at home, which she also saves. Which function can be used to find t, the total amount of money Ashley will have saved at the end of w, weeks of doing chores?

a)

t = 7w + 18

b)

t = 18w + 7

c)

t = 25w

d)

t = 18w

42.

A coach is ordering trophies for a team.

The coach pays a one-time fee of $15. The coach also pays $4 for each trophy.

Which function can be used to find c, the total amount the coach pays in dollars when t trophies are ordered?

a)

c = 4t + 15

b)

c = 4t - 15

c)

c = 15t + 4

d)

c = 15t - 4

43.

What does "b" stand for in

y=mx+by=mx+b  ?

a)

"y"

b)

slope

c)

y-intercept

d)

because

44.

What does "m" stand for in

y=mx+by=mx+b  ?

a)

"x"

b)

slope

c)

y-intercept

d)

mathematics 

45.

What is the correct slope-intercept form?

a)

y = mx + b

b)

y = mb + x

c)

y = x

d)

y = -mx + b

46.

Which equation best represents the relationship between x and y in the table shown?

a)

y=−13x−10y=-\frac{1}{3}x-10

b)

y=−3x−10y=-3x-10

c)

y=−3x+10y=-3x+10

d)

y=−13x+10y=-\frac{1}{3}x+10

47.

Which equation best represents the relationship between x and y in the table shown?

a)

y=5x+5y=5x+5

b)

y=15x+5y=\frac{1}{5}x+5

c)

y=15x+5y=15x+5

d)

y=10x+5y=10x+5

48.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
beans
c)
nothing
d)
slope
49.

Which statement best describes "m"?

a)

x- intercept

b)

y - intercept

c)

slope

d)

tasty

50.
Triangles ABC and DEF are similar. The slope of the hypotenuse of ABC is...
a)
The same as the hypotenuse of triangle DEF
b)
3/4  the slope of hypotenuse of triangle DEF
c)
4/3  the slope of hypotenuse of triangle DEF
51.

Which proportion could be used to show the slope of line VX is equal to the slope of line XZ?

a)

1−(−5)1−(−2)=1−31−(−5)\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{1-3}{1-\left(-5\right)}

b)

1−(−5)1−(−2)=5−13−1\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{5-1}{3-1}

c)

−2−(−5)−2−1=5−13−1\frac{-2-\left(-5\right)}{-2-1}=\frac{5-1}{3-1}

d)

1−(−2)1−(−5)=3−15−1\frac{1-\left(-2\right)}{1-\left(-5\right)}=\frac{3-1}{5-1}

52.

The y-intercept of y = -2x - 4 is (a)   .

53.

What is the slope of: y = -3x - 4

(a)  

54.

What is the y intercept of this graph?

a)

(6,2)

b)

(-2,0)

c)

(2,6)

d)

(0,3)

55.
8.4A
a)
A
b)
B
c)
C
d)
D
56.

Write the equation for the line in slope-intercept form

a)

y=-2/3x+5

b)

y=2/3x+5

c)

y=-3/2x+5

d)

y=3/2x-5

57.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
58.

Write the linear equation for the graph.

a)

y=-1/3x-2

b)

y=1/3x+2

c)

y=1/3x-2

d)

y=-1/3x+2

59.

Graph. x = 1

a)
b)
c)
d)
60.

Graph. y = -4

a)
b)
c)
d)
61.

Graph. y = 2/3x - 3

a)
b)
c)
d)
62.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
63.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
64.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
65.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
66.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
67.

A water hose discharges water at a rate of 45 gallons per minute. Which graph has a slope that best represents this rate?

a)

b)

c)

d)

68.

An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represents this rate?

a)

b)

c)

d)

69.

Joseph ran a 6-mile race in 48 minutes. Which graph has a slope that best represents Joseph's average rate of speed during the race?

a)

b)

c)

d)

70.

A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which graph has a slope that best represents the ratio of orange juice to pineapple juice in this bottle?

a)

b)

c)

d)

71.

Oscar buys his lunch in the school cafeteria. The cost of 15 school lunches is $33.75. Which graph has a slope that best represents the average cost of the lunches in dollars per lunch?

a)

b)

c)

d)

72.

The cost of 6 pencils at a store is 30 cents. Each pencil has the same cost. Which graph has a slope that best represents the cost of each pencil at this store?

a)

b)

c)

d)

73.

At a restaurant 600 custumers were served during a 10-hour period of time. Which graph has a slope that best represents the number of customers that were served per hour at this restaurant?

a)

b)

c)

d)

74.

A student traveled a distance of 68 miles in 136 minutes. Which graph has a slope that best represents this rate?

a)

b)

c)

d)

75.

Gwen spent $12.50 to purchase 5 bracelets. Each bracelet cost the same amount. Which graph has a slope that best represents this rate?

a)

b)

c)

d)

76.

A bookshelf contains 15 books that each have the same width. The combined width for all 15 books is 12 inches. Which graph has a slope that best models the width of each book?

a)

b)

c)

d)

77.

a)

A

b)

B

c)

C

d)

D

78.

a)

F

b)

G

c)

H

d)

J

79.

a)

A

b)

B

c)

C

d)

D

80.

a)

F

b)

G

c)

H

d)

J

81.

a)

F

b)

G

c)

H

d)

J

82.
a)

115

b)

-.6

c)

-115

d)

.6

83.
a)

A

b)

B

c)

C

d)

D

84.
a)

F

b)

G

c)

H

d)

J

85.
a)

A

b)

B

c)

C

d)

D

86.
a)

F

b)

G

c)

H

d)

J

87.
a)

F

b)

G

c)

H

d)

J

88.
a)

F

b)

G

c)

H

d)

J

89.
a)

A

b)

B

c)

C

d)

D