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Make Up 3rd 6 weeks Homework

Total questions: 106

Worksheet time: 6hrs 53mins

Name
Class
Date
1.

Find the equation of the line of best fit for the given data

a)

y = 163.41x+1.49

b)

y =- 163.41x+ 4.19

c)

y =- 4.19x+163.41

d)

y = 4.19x -163.41

2.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
3.
If Joe worked 30 hours, how much is he expected to earn?
a)
$600
b)
$200
c)
$1000
d)
$800
4.
What is the type of correlation?
a)
Negative 
b)
no association
c)
positive 
5.
What is a line of best fit used for?
a)
To make predictions
b)
To make the graph look pretty
c)
To connect the points
d)
To make it look like you know what you are doing
6.

Write the linear regression equation for the following data points. Round to the nearest hundredth.

a)

y=0.83x+0.61y=-0.83x+0.61

b)

y=0.83x+0.63y=-0.83x+0.63

c)

y=0.83x+0.8y=0.83x+-0.8

d)

a2+b2=c2a^2+b^2=c^2

7.

What is the equation of the line of best fit

a)

y= -2x + 10

b)

y= 10x+ 2

c)

y=2x+10

d)

y= 10

8.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

9.

What does the value, r= -0.89, tell us about the linear relationship of two quantitative variables?

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

10.

What is the y-intercept?

a)

-2

b)

3

c)

2

d)

-3

11.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
12.
The red line represents the line of best fit for the scatter plot. How many ice cream sales are expected if the temperature is 90°?
a)
55
b)
0
c)
103
d)
100
13.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
measurements
d)
nothing
14.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
base
c)
nothing
d)
slope
15.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
3x
16.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
17.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
18.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
19.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
20.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
21.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
22.
Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?
a)
y = 1/5x - 3
b)
y= 5x - 7
c)
y = 5x + 4
d)
y = -5x - 3
23.
Which of the following lines goes through the point        (-3, 4) and is perpendicular to  y = 3/2x + 6?
a)
y = 3/2x - 6
b)
y = 2/3x + 3
c)
y = -2/3x - 2
d)
y = -2/3x + 2
24.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
25.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
26.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

27.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

28.

Which of the graphs represents the linear inequality y>12x+3y>\frac{1}{2}x+3  ?

a)
b)
c)
d)
29.

Which of the graphs represents the linear inequality yx4y\le-x-4  ?

a)
b)
c)
d)
30.

Which of the following linear inequalities represents the graph?

a)

y3x5y\ge3x-5  

b)

y13x5y\ge\frac{1}{3}x-5  

c)

y13x5y\le-\frac{1}{3}x-5  

d)

y>13x+5y>\frac{1}{3}x+5  

31.

Which of the following linear inequalities represents the graph?

a)

y3y\ge3  

b)

x3x\ge3  

c)

y3y\le3  

d)

y<3y<3  

32.

Which of the following linear inequalities represents the graph?

a)

x2x\ge2  

b)

x2x\ge-2  

c)

y2y\ge-2  

d)

y>2y>-2  

33.

Which of the following linear inequalities represents the graph?

a)

y3xy\ge3x  

b)

y>3xy>3x  

c)

y<3xy<3x  

d)

y>13xy>\frac{1}{3}x  

34.

Which of the following linear inequalities represents the graph?

a)

y14xy\ge\frac{1}{4}x  

b)

y4x2y\le4x-2  

c)

y<14x+2y<\frac{1}{4}x+2  

d)

y14x+2y\le\frac{1}{4}x+2  

35.

When graphing a linear inequality, < and > signs would require you to draw...

a)

a solid line

b)

a dotted line

36.

When graphing a linear inequality, \le   and \ge   signs would require you to draw...

a)

a solid line

b)

a dotted line

37.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
38.
Find the slope of the line.
a)
3/2
b)
2/3
c)
-3/2
d)
-2/3
39.
What is the y-intercept of the equation?
y = 3x - 12
a)
y = 1 or (0, 1)
b)
y = 12 or (0, 12)
c)
y = -1 or (0, -1)
d)
y = -12 or (0, -12)
40.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(4, -2)
c)
(4, 0)
d)
(0, 4)
41.
Which ordered pair could represent the y-intercept of a function.
a)
(0, 4)
b)
(4, 4)
c)
(4, 0)
d)
None of these.
42.
Write the equation of the line.
a)
y=3/5x+1
b)
y=3/5x-1
c)
y=5/3x+1
d)
y=3/5x+1
43.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
44.
Graph y = -3
a)
A
b)
B
c)
C
d)
D
45.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
46.
Write in slope-intercept form:
-3x + 4y = 12
a)
y = 3/4x + 3
b)
y = -3/4 x + 3
c)
y = -4x + 3
d)
y = 4x + 3
47.
Determine the slope and y-intercept.         y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
48.
what is the y intercept of:
-7x - 3y = 21
a)
-7
b)
7
c)
3
d)
-3
49.
Rewrite the equation in slope intercept form (Solve for y):
 -5x + 6y = 12
a)
6y = 5x + 12
b)
y = (5/6)x + 2
c)
y = (-5/6)x + 2
d)
y = (-5/6)x + 12
50.
Is this a direct variation?
y=2x
a)
yes
b)
no
51.

Parallel Lines have how many solutions?

a)

One Solution

b)

Infinitely Many Solutions

c)

No Solutions

d)

As many solutions as you want

52.

Which image shows a system of linear equations with infinitely many solutions?

a)
b)
c)
d)
53.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
54.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
55.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
56.
a)

No Solution

b)

(2, 2)

c)

(-1, 2)

d)

(-1, -2)

57.

Solve by Substitution:

x = -3y - 17

2x + 3y = -7

a)

(1, -20)

b)

(3, 0)

c)

(-5, -2)

d)

(10 , -9)

58.

Solve the following systems of equations using substitution:


x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

59.
What does
"solution to a system of equations"
mean?
a)
It's the point where both equations equal zero
b)
It's the point where graphs of both equations cross the y-axis
c)
It's the point that solves both equations at the same time
d)
It's the point where graphs of both equations cross the x-axis
60.
4x +  8y = 20
-4x + 2y = -30
Which variable will be eliminated?
a)
The  x
b)
The  y
c)
The  z
d)
The unknown
61.
Solve by elimination:
3x+7y=23

-3x-7y=-17
a)
No solution
b)
ARN
c)
(-3,3)
d)
(3,3)
62.
Solve by elimination:
4x+4y=4

3x+4y=10
a)
(7,-6)
b)
(-6,7)
c)
(6,7)
d)
(7,6)
63.
Solve by elimination:
-x+2y=17

2x+2y=-10
a)
ARN
b)
(-9,4)
c)
(-9,-4)
d)
(9,-4)
64.
Solve by elimination
4x-6y= -6
-2x-12y= -12
a)
(0,1) 
b)
(1,0)
c)
(1,1)
d)
(2,1)
65.
Solve by elimination:
7x + y = -9
-3x - y = 5
a)
No solution
b)
(1,8)
c)
(-2,-3)
d)
(-1,-2)
66.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
67.

Give the solution to the system.

a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
No solution
68.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
69.
When you graph the exact same equation twice,
a)
you will have no solution. 
b)
you will have one solution.
c)
you will have infinite solutions. 
d)
you will graph a giraffe. 
70.

Convert the equation into slope-intercept form.

3x+y=123x+y=12  

a)
y = -3x +12
b)
x = y + 4
c)
x = y + 12
d)
y = 3x -12
71.

Convert the equation into slope-intercept form. 10x 5y=3010x\ -5y=30  

a)

y = 2x - 6

b)

y = -2x + 6

c)

y = -10x + 30

d)

y = 10x - 30

72.

Convert the equation into slope-intercept form. 6x+3y=9-6x+3y=9  

a)

y = 2x + 9

b)

y = 6x - 3

c)

y = 2x + 3

d)

y = 6x + 9

73.

Graph using your calculator and then find the solution (intersection point).

y=6x+5y=-6x+5  

2x+y=5-2x+y=5  

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

74.

Graph using your calculator and then find the solution (intersection point).   5x+4y=145x+4y=-14  

y=7x15y=-7x-15  

a)

(-2, -1)

b)

(1, -2)

c)

(-2, 1)

d)

(-1, -2)

75.

Graph using your calculator and then find the solution (intersection point).

3x+7y=233x+7y=23  

 

y=37x18y=-\frac{3}{7}x-18  

a)

No solution

b)

(0, 3)

c)

(-3,3)

d)

(3,3)

76.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
77.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
78.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
79.
How many solutions will this system have?
a)
One
b)
Two
c)
No Solution
d)
Infinitely Many Solutions
80.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
81.

Graph using your calculator and then find the solution (intersection point).

 

y=23x+13y=\frac{2}{3}x+\frac{1}{3}

  y=x1y=x-1  

a)

(-2,-3)

b)

(0,-1)

c)

(3,4)

d)

(4,3)

82.

Graph using your calculator and then find the solution (intersection point).

y=6x+5y=-6x+5  

2x+y=5-2x+y=5  

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

83.
These two lines intersect at _____.
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4) 
d)
No solution
84.
The solution is:
a)
(4, 3)
b)
(3, 4)
c)
(-4, 3)
d)
No solution
85.
Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-1, 4)
b)
(1, -4)
c)
(-4, 1)
d)
(4, -1)
86.

A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies.

1) Each black-and-white copy cost $0.08.

2) Each color copy cost $0.15.

Which system of equations can be used to find b, the number of black-and-white copies and c, the number of color copies that the customer paid for at the print shop?

a)

b + c = 6.00

0.08b + 0.15c = 68

b)

b + c = 68

0.15b + 0.08c = 6.00

c)

b + c = 6.00

0.15b + 0.08c = 68

d)

b + c = 68

0.08b + 0.15c = 6.00

87.

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The rice of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

a)

4y = 3x + 64

8y = x + 68

b)

4y = 3x + 64

8y = x + 60

c)

3x + 4y = 64

x + 8y = 68

d)

3x + 4y = 64

x + 8y = 60

88.

There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or 12 inches. The diameter of all 15 plates combined is 140 inches.

Which system of equations can be used to find the number of 7-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?

a)

x + y = 140

12x + 7y = 15

b)

7x + 12y = 140

7x + 12y = 15

c)

x + y = 15

7x + 12y = 140

d)

x + y = 15

12x + 7y = 140

89.

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.

Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?

a)

g = 2d - 8

g + d = 46

b)

g = 8 - 2d

g = 46 - d

c)

d = 2g - 8

d = 46 - g

d)

d = 8 - 2g

d + g = 46

90.

A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85.

Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

a)

0.10q + 0.25d = 2.85

q + d = 18

b)

0.10q + 0.25d = 18

q + d = 2.85

c)

0.25q + 0.10d = 2.85

q + d = 18

d)

0.25q + 0.10d = 18

q + d = 2.85

91.
There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?
a)
x + y = 15
4x + 2y = 44
b)
4x + 2y = 15
x + y = 44
c)
x = 2y + 44
4x = y + 15
d)
2x - 4y = 44
x - y = 15
92.
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
a)
x + y = 33
y = 2x - 3
b)
x + y = 33
x = 2y - 3
c)
x + y = 33
x = 3 - 2y
d)
x + y = 3
x = 33 - 2y
93.
The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?
a)
S + A = 530
3S + 4A = 1740
b)
S + A = 530
4S + 3A = 1740
c)
S + A = 1740
3S + 4A = 530
d)
S + A = 1740
4S + 3A = 530
94.

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?

a)

x + y = 1430

20x + 50y = 49

b)

x + y = 49

10x + 5y = 1430

c)

x + y = 49

20x + 50y = 1430

d)

x + y = 49

x + y = 1430

95.

Match a sentence with this equation:
2B + 3F = 22.502B\ +\ 3F\ =\ 22.50  

a)

Joe bought 2 burgers and 3 fries for $22.50

b)

Mary bought 3 burgers and 2 fries for 22.50

c)

Norman ate 2 burgers and gave away 3 fries in 22.50 minutes

d)

Ivy bought 2 burgers and 3 fries for 2.20

96.

Match a sentence with this equation: C = 7.50p + 3.00C\ =\ 7.50p\ +\ 3.00  

a)

JB's Deli charges $ 0.75 for each pizza and $3.00 per topping

b)

Sally's Pizza  charges $3.00 per pizza with a $7.50 delivery fee

c)

Pizza Time charges $7.50 for each pizza and $.30 for the delivery fee

d)

Pizza Planet charges $7.50 per pizza with a $3.00 delivery fee

97.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

98.

Is (-2, 0) a solution to the system?

a)

Solution

b)

Not a solution

99.

Which point is a solution to the system of inequalities?

a)

(-8,2)

b)

(-2,-5)

c)

(0,6)

d)

(4, 3)

100.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
101.
Which inequality is shown in the graph?
a)
y < 2x + 1
b)
y < -2x + 1
c)
y ≤ 2x + 1
d)
y ≤ -2x + 1
102.
The graph shows which inequality?
a)
y ≤ 3
b)
y ≥ 3
c)
y > 3
d)
x > 3
103.

What is the inequality symbol for the equation of this boundary line?

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

104.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
b)
y < -x - 1
 y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
105.
Match
a)
y < x−2 
y < 3
b)
y > -x+2
y > 3
c)
y < -x+2
y < 3
d)
y < -x+2
y > 3
106.

When graphed, the line will be...

5 ≥ x

a)

Solid

b)

Dashed

c)

Zig-Zag