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WorksheetsAlg 1 Mid Term Review
Total questions: 130
Worksheet time: 11hrs 50mins
Name
Class
Date
1.
Which of the following is not an arithmetic sequence?
a)
1/2, 1, 3/2, 2
b)
11, 14, 17, 20
c)
2, 4, 8, 16
d)
5, 2, -1, -4
2.
Identify the common difference in the sequence shown below:
-9, -13, -18, -23,...
a)
4
b)
-4
3.
Identify the next three terms of the sequence below:
-6, -10, -14,...
a)
-17, -21, -25
b)
17, 21, 25
c)
18, 22, 26
d)
-18, -22, -26
4.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
5.
Given the table, write the equation in the slope-intercept form.
a)
y = 1/3x + 6
b)
y = 3x + 6
c)
y = 2x + 6
d)
y = 1/2x + 6
6.
Find the slope:
(-3, 3) and (7, 6)
(-3, 3) and (7, 6)
a)
3/4
b)
-4/3
c)
3/10
d)
-10/3
7.
Writing Equations:
Given the following table, write the linear equation.
Given the following table, write the linear equation.
a)
y = 9x + 3
b)
y = 3x + 12
c)
y = 3x + 9
d)
y = 1x + 12
8.
An ______________sequence is a sequence of numbers in which the difference between any two consecutive terms is a constant.
a)
Geometric Sequence
b)
Arithmetic Sequence
9.
A _____________sequence is a sequence of numbers in which the ratio between any two consecutive terms is a constant.
a)
Geometric Sequence
b)
Arithmentic Sequence
10.
Is the sequence geometric? If so, identify the common ratio.
6, 12, 24, 48
a)
yes, 2
b)
yes, -2
c)
yes, 4
d)
no
11.
What is the fifth term of the geometric sequence?
5, 15, 45,...
a)
135
b)
1875
c)
1215
d)
405
12.
Is the sequence arithmetic: 17, 9, 1, -7, ...
a)
Yes
b)
No
13.
Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...
a)
-20, -24, -28
b)
-21, -25, -29
c)
-23, -28, -33
d)
-24, -29, -32
14.
Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5
10 - 4 ÷ 1 · 5
a)
Subtraction
b)
Division
c)
Multiplication
d)
Addition
15.
Evaluate the equation:
(10+5) -6
(10+5) -6
a)
9
b)
10
c)
11
d)
12
16.
18 + (6 – 2) × 2 =
a)
26
b)
29
c)
44
d)
40
17.
15 + 7 × 2 – 11 + 35=
a)
38
b)
251
c)
53
d)
50
18.
-2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
19.
Simplify the expression: -5(x + 4)
a)
5x + 4
b)
-5x + 4
c)
-5x - 20
d)
-5x + 20
20.
Simplify:
3(9 + 2d) + 4d
3(9 + 2d) + 4d
a)
18d+10d
b)
18d-10d
c)
27+10d
d)
37d
21.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
22.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
23.
a)
standard form
b)
slope intercept
c)
point slope
d)
slope formula
24.
The letters "x1 & y1" represent what item in the equation?
a)
slope
b)
x-intercept
c)
the point
d)
y-intercept
25.
a)
standard form
b)
slope intercept
c)
point slope
d)
slope formula
26.
a)
standard form
b)
slope intercept
c)
point slope
d)
slope formula
27.
a)
standard form
b)
slope intercept
c)
point slope
d)
slope formula
28.
the letter "b" represents what item in the equation?
a)
slope
b)
x-intercept
c)
y-intercept
d)
the point
29.
the letter "m" represents what item in the equation?
a)
slope
b)
x-intercept
c)
y-intercept
d)
the point
30.
-8x + 9 = 33
a)
3
b)
50
c)
16
d)
-3
31.
4a - 5 + 2a + 9 = 28
a)
30
b)
4
c)
-4
d)
2
32.
2 - 3f - 5 + 5f = 6
a)
4.5
b)
0.25
c)
6.5
d)
6
33.
a)
x= 9 1/3
b)
x = 21/4
c)
x = 5 1/4
d)
None of the above
34.
Solve 2/3 n = 45
a)
n = 15
b)
n = 67.5
c)
n = 30
d)
n = 50
35.
3/4(6x + 2) = 15
a)
3
b)
6
c)
18
d)
20
36.
a)
1/7
b)
47/36
c)
7
d)
23
37.
a)
-14/9
b)
-9/14
c)
-21/6
d)
6/21
38.
a)
19
b)
-9
c)
-100
d)
-50
39.
Solve the equation for x:
a)
x = 11/4
b)
x = 9/4
c)
x = 59/4
d)
x = 61/4
40.
A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?
a)
y = 30 + 12.5x
b)
y = 12.5 + 30
c)
y = 12.5 + 30x
41.
Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
42.
The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. If the drama club made a total of $290, how many tickets were sold?
a)
47
b)
58
c)
69
d)
113
43.
The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he downloaded.
a)
32 songs
b)
33 songs
c)
19 songs
d)
36 songs
44.
The cost for new carpet is $8.55 per square yard, plus an installation fee. 700 square yards of carpet cost $6164. How much is the installation fee?
a)
$8.55
b)
$6155.45
c)
$179
d)
$5985
45.
You and your friends plan to attend the county fair this weekend. Admission to the fair is $5 and the cost per ride is $0.50. How many rides can you go on if you have $20?
a)
20 rides
b)
30 rides
c)
40 rides
d)
50 rides
46.
For a new customer, a video store charges $10 for rental card plus $2 per movie. If a new customer is charged $22, how many movies did they rent?
a)
2 movies
b)
6 movies
c)
11 movies
d)
16 movies
47.
What is the slope of the line?
2x + 3y = 9
2x + 3y = 9
a)
-⅔
b)
2
c)
⅔
d)
-2
48.
Which point falls on the line:
y - 5 = 2(x + 3)
y - 5 = 2(x + 3)
a)
(-5, 3)
b)
(5, -3)
c)
(3, -5)
d)
(-3, 5)
49.
What is the y intercept of the line that has a slope of -3 and passes through the point (-1, 3)?
a)
The y intercept is 3
b)
The y intercept is 6
c)
The y intercept is 0
d)
The y intercept is 8
50.
Solve the equation for d.
d / t = r
d / t = r
a)
d = r / t
b)
d = t / r
c)
d = rt
d)
d = r - t
51.
Solve for x:
ax - b = c+d
ax - b = c+d
a)
x = a(c + d + b)
b)
x = (c + d) / (a-b)
c)
x = a / (c + b + d)
d)
x= (c + b + d)/a
52.
pV = nRT
solve for R
a)
R= p/n + V/T
b)
R= pV - nT
c)
R= (pV-n)/T
d)
R=pV/nT
53.
Solve:
C = 2πr, for r
C = 2πr, for r
a)
C/(2π) = r
b)
C + 2π = r
c)
C - 2π = r
d)
2πC = r
54.
a)
(2.5+h)f
b)
g=1
c)
f(5+h)/2
d)
(5f+h) / 2
55.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
56.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
57.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
58.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
59.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
60.
5z - 2 - 2z < 13
a)
z > 5
b)
z < 5
c)
z > 1
d)
z < 1
61.
Does the sign need to flip when solving?
8y < (-40)
8y < (-40)
a)
YES
b)
NO
62.
Do you flip the sign?
-3x + 2 ≤ 22
-3x + 2 ≤ 22
a)
YES
b)
NO
63.
Solve:
3(x - 2) < 2(x + 9)
3(x - 2) < 2(x + 9)
a)
x<24
b)
x>12
c)
x<12
d)
x>24
64.
Solve:
7(x + 3) < 5x + 13
7(x + 3) < 5x + 13
a)
x>-4
b)
x < 17
c)
x<-4
d)
x > -17
65.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
66.
Solve the following compound inequality:
−4x + 1 ≤ 21 and 5x + 2 < 22
a)
x > −5 or x ≤ 4
b)
x ≥ −5 or x < 4
c)
x > −5 and x ≤ 4
d)
x ≥ −5 and x < 4
67.
Write an inequality for Graph 3.
a)
x ≤ −2 AND x > 5
b)
x ≤ −2 OR x > 5
c)
x ≥ −2 OR x < 5
d)
−2 ≤ x < 5
68.
Solve the following inequality:
3x + 2 < −4 or 4x + 4 > 24
a)
x < −2 or x > 5
b)
x < 2 or x > 5
c)
x < −2 and x > 5
d)
x < 2 and x > 5
69.
Solve the following compound inequality:
0 < x + 7 < 9
a)
−7 < x and x < 2
b)
−7 < x or x < 2
c)
−7 > x and x > 2
d)
−7 > x or x > 2
70.
Solve the compound inequality above and identify the graph which represents the solution.
a)
A
b)
B
c)
C
d)
D
71.
What inequality is graphed?
a)
x > 2 and x ≤ −3
b)
x > 2 and x < −3
c)
x > 2 or x ≤ −3
d)
x > 2 or x < −3
72.
Solve the following compound inequality:
−8 < 2(x + 4) or −3x + 4 > x − 4
a)
No solutions
b)
x < −8 or x < 2
c)
x > −8 or x < 2
d)
x < −8 and x < 2
73.
Solve each compound inequality and graph its solution.
a)
A
b)
B
c)
C
d)
D
74.
Which set of ordered pairs represents the relation shown in the graph?
a)
{(3, -5), (-2, 0), (2, 0), (-1, 1), (3, 5)}
b)
{(5, -3), (2, 0), (0, -2), (-1, 1), (-3, -5)}
c)
{(-5, 3), (0, -2), (2, 0), (1, -1), (3, 5)}
d)
{(-5, 3), (-2, 0), (0, 2), 1, -1), (3, 5)}
75.
What is the domain of the relation shown in the graph above?
a)
{0, 1, 2, -2, 3}
b)
{1, 3, 0, -2, -5}
c)
{0, 2, -1, 3, 5}
d)
{-5, -2, 2,-1, 3}
76.
What is the range of the relation shown in the graph above?
a)
{2, 0, 3, -1, 5}
b)
{0, 1, 3, -2, -5}
c)
{-2, 2, -1, 5, 3}
d)
{2, 0, -1, -5, 3}
77.
Which statement is true about the relation {(-2, 4), (4, 2), (2, 4), -4, 2)}?
a)
The relation is NOT a function because all the y-values are not different.
b)
The relation is NOT a function because all the x-values are not different.
c)
The relation is a function because the y-values are different.
d)
The relation is a function because all the x-values are different.
78.
What is the domain of the graph shown?
a)
-2 < y ≤ 6
b)
-6 ≤ x < -2
c)
-6 < y ≤ 6
d)
-6 < x ≤ 3
79.
What is the range of the graph shown?
a)
3 < x ≤ 6
b)
-6 < y ≤ 3
c)
-2 < y ≤ 6
d)
-2 < x ≤ 6
80.
What is the range of the graph shown?
a)
3 < x ≤ 6
b)
-6 < y ≤ 3
c)
-2 < y ≤ 6
d)
-2 < x ≤ 6
81.
Which of the following relations represents y as a function of x?
I. {(1, 4), (2, 5), (3, 6)}
II. {(1, 4), (2, 4), (3, 4)}
III. {(1, 4), (2, 4), (1, 3)}
IV. {(1, 4), (1, 2), (1, 3)}
I. {(1, 4), (2, 5), (3, 6)}
II. {(1, 4), (2, 4), (3, 4)}
III. {(1, 4), (2, 4), (1, 3)}
IV. {(1, 4), (1, 2), (1, 3)}
a)
I, II, and III only
b)
II and IV only
c)
III and IV only
d)
I and II only
82.
Which relation is represented by the mapping diagram shown?
a)
{(3, 2), (5, 2), (7, 4)}
b)
{(2, 3), (4, 7)}
c)
{(5, 2), (7, 4)}
d)
{(2, 3), (2, 5), (4, 7)}
83.
Which of the graphs shown is a function?
a)
F
b)
G
c)
H
d)
J
84.
If f(x) = 3x - 7, find f(4).
a)
0
b)
5
c)
14
d)
19
85.
Which of the graphs shown does NOT represent a function?
a)
A
b)
B
c)
C
d)
D
86.
If g(x) = 2x2 - 4, find g(-2)
a)
-8
b)
-12
c)
4
d)
0
87.
Is this a function or not a function?
a)
Function
b)
Not a Function
88.
Is this is a function or not a function?
a)
Function
b)
Not a Function
89.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
90.
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.
91.
a)
Yes
b)
No
92.
Which of the following is a function?
a)
b)
c)
d)
93.
Is the following a function?
a)
Yes, this is a function.
b)
No, it's not a function.
c)
Can't be determined with this information.
94.
Which graph is a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
95.
What is the value of x in:
f(3) = 2x + 1
f(3) = 2x + 1
a)
3
b)
2
c)
1
d)
0
96.
What does f(-4) equal?
f(-4) = -2x - 8
f(-4) = -2x - 8
a)
8
b)
-4
c)
-16
d)
0
97.
Select the green word.
a)
GREEN
b)
RED
c)
BLACK
d)
BLUE
98.
What does x equal in the function:
f(-11) = 5x + 1
f(-11) = 5x + 1
a)
-54
b)
5
c)
1
d)
-11
99.
Using the graph, what does f(8) equal?
a)
8
b)
2
c)
1
d)
0
100.
Find f(4)
a)
5
b)
4
c)
3
d)
0
101.
Find f(-1)
a)
-3
b)
15
c)
19
d)
17
102.
If f(x) = 19, Find the value for x.
a)
0
b)
1
c)
2
d)
3
103.
If f(x) = 4, Find the value for x.
a)
0
b)
1
c)
2
d)
3
104.
Find f(1)
a)
1
b)
2
c)
-1
d)
3
105.
Identify the slope and y intercept in the equation of the line: y = -1/3x + 1
a)
Slope: 1/3
y-intercept: 1
y-intercept: 1
b)
Slope: 1/3
y-intercept: -1
y-intercept: -1
c)
Slope: -1/3
y-intercept: 1
y-intercept: 1
d)
Slope: -1/3
y-intercept: 0
y-intercept: 0
106.
What is the slope intercept form of the equation
-8x+2y=4
-8x+2y=4
a)
y= 1/2 + 8x -4
b)
y= 2 - 4x
c)
y= 4x + 2
d)
y= 4x - 8y
107.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
108.
Write the equation of the line with slope -2 through the point (7, −1).
a)
y = −2x + 15
b)
y = −2x − 15
c)
y = −2x + 13
d)
y = −2x − 13
109.
Write the equation of the line with slope 3/5 through the point (20, 6).
a)
y = 3/5x − 6
b)
y = 3/5x +18
c)
y = 3/5x − 18
d)
y = 3/5x + 6
110.
Write the equation of the line through the points (−6, −19) and (2, 5).
a)
y = −7/2x + 12
b)
y = 3x + 11
c)
y = −7/2x − 40
d)
y = 3x − 1
111.
Write the equation of the line through the points (4, 5) and (12, 9).
a)
y = 2x − 3
b)
y = 1/2x + 3
c)
y = 1/2x +7
d)
y = 2x − 15
112.
What direction is an undefined slope?
a)
horizontal
b)
vertical
113.
Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?
What is the slope of the graph?
a)
64
b)
128
c)
32
d)
16
114.
What is the slope intercept form of the equation
-8x+2y=4
-8x+2y=4
a)
y= 1/2 + 8x -4
b)
y= 2 - 4x
c)
y= 4x + 2
d)
y= 4x - 8y
115.
What is the slope intercept form of the equation
-8x+2y=4
-8x+2y=4
a)
y= 1/2 + 8x -4
b)
y= 2 - 4x
c)
y= 4x + 2
d)
y= 4x - 8y
116.
Determine the "b" value for the following equation
4x + 2y = -12
REALLY Write this on your paper and work it out!
4x + 2y = -12
REALLY Write this on your paper and work it out!
a)
4
b)
-6
c)
-12
d)
2
117.
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
118.
Write the equation below in standard form
y = 2/3 x + 5.
y = 2/3 x + 5.
a)
-2/3x+y=5
b)
2x - 3y= -15
c)
-6/3x + 3y= 15
d)
-2x+3y=15
119.
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)
120.
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
121.
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)
122.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
123.
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)
124.
What direction is an undefined slope?
a)
horizontal
b)
vertical
125.
Identify the slope and y -intercept in the equation:
a)
y = 2x - 2
b)
y = -2x + 2
c)
y = -2x + 4
d)
y = 2x + 4
126.
Which equation is perpendicular to:
y = -6x +2
y = -6x +2
a)
y = 6x +1
b)
y = 1/6x +4
c)
y = -6x +3
d)
y = -1/6x +5
127.
Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3
a)
y = (-3/5)x + 2
b)
y = (-3/5)x -2
c)
y = (3/5)x + 2
d)
y = (5/3) + 2
128.
If two lines are perpendicular to each other their slopes are ____________
a)
the same.
b)
negative reciprocals of each other.
129.
Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12
a)
y = (-1/3)x - 1
b)
y = (1/3)x - 2
c)
y = -3x + 12
d)
y = 3x - 1
130.
Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9
a)
y = -2x - 24
b)
y = -2x + 12
c)
y = -2x + 24
d)
y = (1/2)x - 12
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