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WorksheetsCBA Review
Total questions: 99
Worksheet time: 4hrs 33mins
Name
Class
Date
1.
2(3x+7) = x +10 +5x + 4
a)
2
b)
-4
c)
no solution
d)
all real numbers
2.
12(2k + 11) = 12(2k + 12)
a)
144
b)
-12
c)
no solution
d)
all real numbers
3.
-3(4p-6) = 54 What is P?
a)
3
b)
1
c)
4
d)
-3
4.
1/3 + 1/13d > 17/39
a)
d<3/5
b)
d>11/3
c)
d>5
d)
d<3
5.
What is the domain?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
6.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
7.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
8.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
9.
What is the range?
a)
-3 < y ≤ 3
b)
-4 ≤ y < 5
c)
-4 ≤ y ≤ 5
d)
-3 < y ≤ 3
10.
What is the domain of this function?
(2, 4), (5, 5), (8, 6), (11, 7)
(2, 4), (5, 5), (8, 6), (11, 7)
a)
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
b)
{2, 5, 8, 11}
c)
{4, 5, 6, 7}
d)
{2, 4, 5, 8, 6, 11, 7}
11.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7}
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
12.
What is the y-intercept of
2x-5y=35?
2x-5y=35?
a)
(0,-7)
b)
(-7,0)
c)
(35/2, 0)
d)
(0,35/2)
13.
What is the slope of
6x-y=9?
6x-y=9?
a)
9/6
b)
-9
c)
6
d)
-6
14.
What is the x-intercept of
x+4y=7?
x+4y=7?
a)
(7/4, 0)
b)
(0, 7/4)
c)
(7, 0)
d)
(0,7)
15.
Write the equation below in standard form
y = 2/3 x +5/2
y = 2/3 x +5/2
a)
-2/3x+y=5/2
b)
-4x+6y=15
c)
-2x+y=5
d)
-2x+3y=15
16.
Write the standard form equation that passes through (0, -1) and (-6, -9)
a)
-3x +4y = - 4
b)
-4x +3y = -3
c)
y = 4/3x = -1
d)
3x - 4y = 1
17.
Write the standard form equation of a line that is parallel to 7x - 2y =14 and passes through (2, 3)
a)
x + y = 14
b)
2x - 7y = 14
c)
7x - 2y = 8
d)
7x + 2y = 20
18.
Write the standard form of an equation that is perpendicular to 2x - 5y = 10 and passes through (-2, 1).
a)
2x + 5y = 1
b)
2x - 5y = -9
c)
5x + 2y = -8
d)
5x - 2y = -12
19.
Find the slope between the points (3,-9) and (3,5).
a)
-14/1
b)
4/6
c)
1/14
d)
undefined
20.
Write in slope intercept form
5x - 3y = -9
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
21.
A line is perpendicular to y = 2x - 7.
What is the slope of this line?
What is the slope of this line?
a)
-2
b)
1/2
c)
-1/2
d)
2
22.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
23.
What is the slope of the line that passes through the following points:
(9, 3) and (7, 8).
(9, 3) and (7, 8).
a)
6
b)
3
c)
-5/2
d)
6
24.
Write the equation of a line parallel to the one pictured through the point (3,1) in point slope form.
a)
y-1=1/2(x-3)
b)
y+1=1/2(x+3)
c)
y-1=-1/2(x-1)
d)
y+1=-1/2(x+3)
25.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3
(-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
26.
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
27.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
28.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
29.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
30.
Write the equation of the line that passes through the points (-5, -2) and (0, -1)
a)
y=1/5x-2
b)
y=1/5x+1
c)
y=1/5x+3
d)
y=1/5x-1
31.
Write the equation of the line that passes through the points (4, -1) and (0, -3)
a)
y=1/2x+3
b)
y=2x-3
c)
y=1/2x-3
d)
y=1/2x-4
32.
Write the equation of the line that passes through the points (1, 2) and (-2, 5)
a)
y=x+3
b)
y=-x+3
c)
y=-x+1
d)
y=3x+3
33.
What is the equation of the table?
a)
y = 2x - 3
b)
y = -2x - 3
c)
y = -2x + 3
d)
y = 2x + 3
34.
Find the equation of the line passing through the points (4,9) and (6,1).
a)
y=-4x+25
b)
y=4x+25
35.
Solve by elimination
5x+6y= -10
3x-2y= -6
5x+6y= -10
3x-2y= -6
a)
(-2,0)
b)
(0,-2)
c)
(2,0)
d)
(0,2)
36.
What is the solution to this system?
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
37.
What is the solution to this system?
x - y = 6
y= 2x - 5
x - y = 6
y= 2x - 5
a)
(1,3)
b)
(-1,3)
c)
(-1,-7)
d)
(1,-7)
38.
Solve:
y = 7x + 9
2y + 2x = -18
y = 7x + 9
2y + 2x = -18
a)
(5, 0)
b)
(9, 18)
c)
(-2, -5)
d)
(1, 16)
39.
Solve by elimination:
3x+7y=23
-3x-7y=-17
3x+7y=23
-3x-7y=-17
a)
No solution
b)
ARN
c)
(-3,3)
d)
(3,3)
40.
Solve by elimination
-12x-10y= 0
6x+5y= -1
-12x-10y= 0
6x+5y= -1
a)
infinite solutions
b)
(0,0)
c)
no solution
d)
(2,1)
41.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
42.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
43.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
44.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
45.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x and y ≤ -2x + 4
b)
y > 3x and y > -2x + 4
c)
y < 3x and y > -2x + 3
d)
y > 3x and y < -2x + 4
46.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
47.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
y < x + 4
b)
y < -x - 1
y ≥ x + 4
y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
y ≥ x + 3
48.
JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?
a)
b + t < 15
3b + 6t > 66
3b + 6t > 66
b)
b + t > 15
3b + 6t < 66
3b + 6t < 66
c)
3b + 6t > 15
b + t < 66
b + t < 66
d)
3b + 6t < 15
b + t < 66
b + t < 66
49.
Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing
a)
x+y≤300
7.5x+5.5y≥2000
7.5x+5.5y≥2000
b)
x+y<300
7.5x+5.5y≥2000
7.5x+5.5y≥2000
c)
x+y≤300
7.5x+5.5y≤2000
7.5x+5.5y≤2000
d)
x+y>2000
7.5x+5.5y≤300
7.5x+5.5y≤300
50.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
a)
x + y = 1550
y = 4x
y = 4x
b)
x + y = 1550
y = x + 4
y = x + 4
c)
y - x = 1550
y = 4x
y = 4x
d)
y = 1550 + x
y = x + 4
y = x + 4
51.
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?
a)
d + n = 6.60
.10d + .05n = 80
.10d + .05n = 80
b)
d + n = 80
d + n = 6.60
d + n = 6.60
c)
d + n = 80
.10d + .05n = 6.60
.10d + .05n = 6.60
d)
d + n = 80
.05d + .10n = 6.60
.05d + .10n = 6.60
52.
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?
a)
t + n = 54
t = 3n + 8
t = 3n + 8
b)
t + n = 54
n = 3t + 8
n = 3t + 8
c)
t + n = 54
t = 3n - 8
t = 3n - 8
d)
t + n = 8
t = 3n + 54
t = 3n + 54
53.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
a)
y = 9.65 + x
y = 8.40 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
y = 8.40x - 58
54.
Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?
a)
Sugar Cookies $5
Oatmeal Cookies $3
Oatmeal Cookies $3
b)
Sugar Cookies $4
Oatmeal Cookies $8
Oatmeal Cookies $8
c)
Sugar Cookies $2
Oatmeal Cookies $6
Oatmeal Cookies $6
d)
Sugar Cookies $3
Oatmeal Cookies $6
Oatmeal Cookies $6
55.
Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?
a)
$5
b)
$10
c)
$15
d)
$20
56.
y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k= 21
c)
k= 5.25
d)
k= 4/21
57.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
58.
The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
59.
In a direct variation, y=39 when x=3. Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
60.
If y varies directly with x and
y = 42 when x =15, find the
value of x when y = 70.
y = 42 when x =15, find the
value of x when y = 70.
a)
x = 196
b)
x = 25
c)
x = 30
d)
x = 146
61.
What is another way to say "where a function crosses the x-axis"?
a)
x-intercept
b)
zero
c)
root
d)
all of these.
62.
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)
63.
What is the y-intercept in the equation x + 2y = 4
a)
0
b)
2
c)
4
d)
KC Royals
64.
What is the x and y intercept for the following equation ?
4x - 10y = 20
4x - 10y = 20
a)
x - int = 4
y-int = -10
y-int = -10
b)
x-int = 5
y-int = 2
y-int = 2
c)
x - int = 5
y int = -2
y int = -2
d)
x -int = 4
y -int = -10
y -int = -10
65.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
66.
a)
Function
b)
Not a Function
67.
If h(a) = 3 - 2a
Find h(-3).
Find h(-3).
a)
12
b)
-2
c)
-3
d)
9
68.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
69.
.
a)
Function
b)
Not a Function
70.
.
a)
Function
b)
Not a Function
71.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
72.
a)
Function
b)
Not a Function
73.
a)
Function
b)
Not a Function
74.
Evaluate f(-2) if f(x) = x2+ 3.
a)
-1
b)
1
c)
7
d)
-7
75.
Given f(x) = x2 - 7x, find f(8).
a)
f(8) = 8
b)
f(8) = -3584
76.
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
a)
The graph of g is a vertical translation 2 units up of the graph of f
b)
The graph of f is a horizontal translation two units left of g
c)
The graph of g is a vertical stretch by a factor of 2 of the graph of f
d)
The graph of g is a reflection of the graph of f
77.
Which transformation will occur if f(x) = x is replaced with 2⋅f(x)?
a)
Vertical stretch
b)
Vertical compression
c)
Vertical translation up by 2 units.
Horizontal stretch
Horizontal stretch
d)
Horizontal compression
78.
Which transformation will occur if f(x) = x is replaced with f(x) + 2?
a)
Translation left 2 units
b)
Translation right 2 units
c)
Vertical translation up by 2 units.
d)
Reflection across the x-axis.
79.
Which transformation will occur if f(x) = x is replaced with -f(x)?
a)
Reflection across the y-axis
b)
Narrower
c)
Vertical translation up by 2 units.
d)
Reflection across the x-axis.
80.
How did the equation shift from the parent function? y = f(x - 4)
a)
Shift right by 4
b)
Shift left by 4
c)
Horizontal Stretch by 4
d)
Vertical Stretch by 4
81.
How did the equation shift from the parent function? y=(1/2)x+11
a)
Vertical stretch and shift up 11
b)
Horizontal compress and shift down 11
c)
Vertical compress and shift up 11
d)
Horizontal stretch and shift down 11
82.
If the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?
a)
f(x) = 7x + 3
b)
f(x) = 3x - 7
c)
f(x) = 3x + 7
d)
f(x) = 7x - 3
83.
How did the equation shift from the parent function? y = -3f(x) + 5
a)
Reflection over x-axis, steeper, up 5
b)
Reflection over y-axis
c)
Steeper, down 5
d)
Moved right
84.
How did the equation shift from the parent function? y = 4f(x - 3)
a)
Steeper and right 3
b)
Less steep and down 3
c)
Steeper and left 3
d)
Down
85.
How did the equation shift from the parent function?
y = 3f(x) - 2
y = 3f(x) - 2
a)
less steep and translate down 2
b)
Translate up 2
c)
Translate down 2
d)
steeper and translate down 2
86.
Which example shows CAUSATION?
a)
High social media usage and reduced grades.
b)
Car ran out of gas and being stranded on the side of the road.
c)
Recess time and classroom behavior in elementary school
87.
Which example shows CAUSATION?
a)
Stress level and desire for chocolate.
b)
Eating more butter and increased divorce rates.
c)
It started raining and the baseball game was delayed.
88.
Describe the correlation
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
89.
r = - 0.89
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
90.
r = 0.3
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
91.
Which of the following represents the STRONGEST correlation?
a)
- 0.03
b)
+ 0.5
c)
+ 0.03
d)
- 0.79
92.
Attendance & grades have a r-value of
( - 0.89)...this indicates a ______ correlation.
( - 0.89)...this indicates a ______ correlation.
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
93.
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
94.
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
95.
1. Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?
a)
65
b)
92
c)
70
d)
76
96.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
97.
S = 3F - 24 Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
98.
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
99.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
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