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WorksheetsUnit 3B Review
Total questions: 76
Worksheet time: 2hrs 14mins
Name
Class
Date
1.
Graph
a)
b)
c)
d)
2.
Write the equation of this graph in standard form
a)
-2x - y = -2
b)
2x - y = 2
c)
x + 2y = -2
d)
2x + y = -2
3.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
4.
Which of these represents point-slope form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
5.
Write in standard form.
y = -4x - 5
y = -4x - 5
a)
y = -3x + 5
b)
4x + y = -5
c)
4x - y = 5
d)
-4x + y = -5
6.
Which ordered pair could represent a y-intercept on a graph?
a)
(6, 0)
b)
(0, 4)
c)
(-1, 3)
d)
(2, 0)
7.
Find the x and y intercepts
4x - 5y = 40
4x - 5y = 40
a)
x intercept is 10
y intercept is 8
y intercept is 8
b)
x intercept is 10
y intercept is 20
y intercept is 20
c)
x intercept is 8
y intercept is 10
y intercept is 10
d)
x intercept is 10
y intercept is -8
y intercept is -8
8.
What is the y-intercept of the line?
a)
(0,1/2)
b)
(0,1)
c)
(0, -1/2)
d)
(0, -1)
9.
What is the x- intercept of the line?
a)
(1, 0)
b)
(2, 0)
c)
( -1, 0)
d)
(-2, 0)
10.
Give the y-interecept
3x + y = 5
3x + y = 5
a)
(-3, 0)
b)
(0,5)
c)
(-5, 0)
d)
(0, -3)
11.
Give the x-intercept
3x + 8y = 24
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
12.
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
13.
What is the equation of the line graphed?
a)
x = -1
b)
y = -1
c)
y = -1x
d)
y = x - 1
14.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
15.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
16.
What is the x- intercept of the graph of 3x+4y=24
a)
12
b)
8
c)
-12
d)
-8
17.
Name the x- and y-intercepts for the equation:
2x + y = 6
2x + y = 6
a)
(0, 3) and (6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, 6)
d)
(-3, 0) and (0, -6)
18.
Graph
a)
b)
c)
d)
19.
Write the equation of this graph in slope-intercept form
a)
y = 2x - 2
b)
y = 2x + 2
c)
y = -2x - 2
d)
y = -1/2x - 2
20.
Write the equation of this graph in standard form
a)
-2x - y = -2
b)
2x - y = 2
c)
x + 2y = -2
d)
2x + y = -2
21.
Write in standard form.
2x - 2 = 6y
2x - 2 = 6y
a)
2x - 6y = 2
b)
2x + 6y = 2
c)
2x + 6y = -2
d)
2x - 6y = -2
22.
Find the slope and y-intercept:
6x + -2y = 18
a)
slope = -6, y-intercept = -2
b)
slope = -3, y-intercept = 9
c)
slope = 3, y -intercept = -9
d)
slope = 6, y-intercept = 3
23.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
24.
What is the slope in the equation: y=4x+3
a)
3
b)
4x
c)
4
d)
x
25.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
26.
convert to slope intercept form:
y - 5 = 3 (x - 2)
y - 5 = 3 (x - 2)
a)
y = 3x - 1
b)
y = 3x + 7
c)
y = 3x + 11
27.
Write the slope-intercept form of the equation with the given point and slope.
Through (2,5) and m= 1/2
Through (2,5) and m= 1/2
a)
y=1/2x+4
b)
y=-1/2x-4
c)
y=4x-1/2
28.
Find the slope
a)
3
b)
-3
c)
20
d)
Not a constant slope/Non-Linear
29.
What's the slope of the line that passes through (9, -4) and (1, -4)?
a)
zero
b)
undefined
c)
8
d)
-8
30.
Which two points have a slope of 3?
a)
(4, 3) and (5, 6)
b)
(2, 3) and (5, 4)
c)
(1, 2) and (2, -1)
31.
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
a)
y = 4x + 1.50
b)
y = 1.50x + 4
32.
Write an equation for this relationship.
a)
y = 4x
b)
y = 1/8x
c)
y = 1/4x
d)
y = 8x
33.
Write an equation for this relationship.
a)
y = 4x
b)
y = 1/8x
c)
y = 1/4x
d)
y = 8x
34.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
35.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
36.
Which equation represents slope intercept form?
a)
y - 1 = 2(x + 3)
b)
5y=x+5
c)
y=2x+5
d)
4y+2x=8
37.
y = 3x +2
y = 3x - 3
These lines are...
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
38.
Which line(s) are parallel to y=3x+1
a)
y= -3x -1
b)
y=-1/3+3
c)
y=3x
d)
None of them
39.
Which line(s) are parallel to y=x-1
a)
y=-x+1
b)
y=x+1
c)
Neither
d)
Both
40.
Which of these lines are parallel to each other:
1) y = 5x -1
2) y = x/5
3) y= -x/5 +11
1) y = 5x -1
2) y = x/5
3) y= -x/5 +11
a)
1 & 2
b)
2 & 3
c)
1 & 3
d)
None of them
41.
What is necessary for the lines to be parallel?
a)
Same Slope
b)
Same intercept
c)
Negative Flip of the slope
d)
None of the above
42.
Two lines that have the same slope and intercept are:
a)
Parallel
b)
Perpendicular
c)
The same line
d)
None of the above
43.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
44.
What slope is perpendicular to:
m = 5/8
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
45.
What slope is perpendicular to:
m = 3
m = 3
a)
-3
b)
-1/3
c)
1/3
d)
3
46.
y = 5/7x +2
y = 5/7x - 30
These lines are...
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
47.
y = 6x + 2
y = -6x + 2
These lines are...
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
48.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
49.
y = 3/2x + 2
y = 2/3x + 6
These lines are...
y = 2/3x + 6
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
50.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
51.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
52.
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
53.
The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.
a)
f(x) = 25.05x + 5.57
b)
f(x) = 5.57x + 25.05
c)
f(x) = -5.57x + 25.05
d)
f(x) = 5.57x - 25.05
54.
A person travels by car. They record their miles driven in a data table. Identify the x-variable (input) of the data.
a)
Time (hours)
b)
Distance (miles)
55.
A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
56.
The linear regression equation for the data is y = 1.5x + 12. Interpret the slope of the equation.
a)
The slope is (0, 1.5). It means that a pizza with 0 toppings will cost $1.50.
b)
The slope is 1.5. It means that it costs $1.50 per topping.
c)
There are 1.5 toppings.
d)
There are 1.5 pizzas.
57.
r=0.3
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
58.
The correlation coefficient r is a value between
a)
0 and 1
b)
0 and 100
c)
-1 and 1
d)
-2 and 2
59.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
60.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
61.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
62.
Find the slope
a)
3
b)
-3
c)
20
d)
Not a constant slope/Non-Linear
63.
What's the slope of the line that passes through (9, -4) and (1, -4)?
a)
zero
b)
undefined
c)
8
d)
-8
64.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
65.
Amy is on a weight loss show. When the show began, she weighed 231 pounds. During the show, she lost 4 pounds per week. Which equation represents the amount of weight she lost?
a)
y = 4 - 231x
b)
y = 231x - 4
c)
y = 231 - 4x
d)
y = 4x + 231
66.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.
a)
C = 5h + 3
b)
C = 3h + 5
c)
H = 5c + 3
d)
H = 3c + 5
67.
Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?
a)
$394
b)
$443.25
c)
$472.80
d)
$512.20
68.
Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the equation of variation?
a)
y = 10x
b)
y = 2x
c)
y = 5x
d)
y = 1/5x
69.
The number of soft pretzels processed by a machine in a bakery is directly proportional to the
number of minutes that the machine runs. The machine can process 600 pretzels in 10 minutes of
continuous running. How many pretzels would the machine process in 52 minutes of continuous
running?
number of minutes that the machine runs. The machine can process 600 pretzels in 10 minutes of
continuous running. How many pretzels would the machine process in 52 minutes of continuous
running?
a)
1,200
b)
1,500
c)
3,120
d)
5,200
70.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
71.
As x increases, y increases
a)
correlation coefficient
b)
causation
c)
positive correlation
d)
negative correlation
72.
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
73.
Based on the trend line, about how many guests should be expected if the temperature is around 80 degrees?
a)
8,300
b)
7,300
c)
8
d)
9,300
74.
What is the equation of the line of best fit?
a)
y = 3/2x
b)
y = 30x
c)
y = 30x + 300
d)
y = 3/2x + 300
75.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
76.
What is the line of best fit?
a)
f(x)= 5x+1.82
b)
cannot be determined
c)
f(x)= 1.82x + 5.02
d)
f(x)= 1.1x + 4.2
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