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Worksheets8th Grade 1st Semester Algebra 1 Review
Total questions: 100
Worksheet time: 6hrs 34mins
Name
Class
Date
1.
4x - 7 = 21
a)
x = 12
b)
x = 7
c)
x = 24
2.
What is the first step to solve this equation:
-3x + 11 = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
3.
9 = 2s + 1
a)
4
b)
-4
c)
3.5
d)
5
4.
The steps in solving 5b - 6 = 24 are:
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
5.
What is the first step in solving this equation 8x - 6 = 10
a)
Add 6
b)
Subtract 8
c)
Divide by 8
d)
Subtract 6
6.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
7.
-11 + 3(b + 5) = 7
a)
b = 1
b)
b= -1
c)
b = 3
d)
b = -3
8.
2. Cheryl gets paid $8 per hour for her job at the record store. She made a total of $96 last week. Which equation models this situation?
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
9.
Translate into an expression:
two more than three times x
two more than three times x
a)
3x-2
b)
2>3x
c)
2+3x
d)
2(3x)
10.
Simplify 5x + 3 -2x + 1
a)
7x2 +4
b)
5x+1
c)
7x + 4
d)
3x+4
11.
−118=−5(4+7x)+7
a)
−5
b)
−9
c)
3
d)
−1
12.
−(3v+1)+7(6v+6)=−37
a)
4
b)
0
c)
2
d)
−2
13.
-3 + x ≤ -11
a)
x ≤ -8
b)
x ≤ 8
c)
x ≥ -8
d)
x ≥ 8
14.
2x < -3x + 15
a)
x > 3
b)
x > 15
c)
x < 3
d)
x < 15
15.
-1(2x + 4) ≥ 6
a)
x ≤ -5
b)
x ≥ -5
c)
x ≤ -1
d)
x ≥ -1
16.
What inequality is graphed here?
a)
x ≤ -2
b)
x < -2
c)
x > -2
d)
x ≥ -2
17.
Translate:
A number increased by 4 is no more than -18.
a)
x + 4 < -18
b)
x + 4 > -18
c)
x + 4 ≤ -18
d)
x + 4 ≥ -18
18.
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
19.
When graphing "AND" inequalites, shading looks like___
a)
Shading that always connects the 2 dots.
b)
Shading that always points away from each dot
c)
2 shaded arrows pointing in same direction(both left)
d)
2 shaded arrows pointing in same direction (both right)
20.
When solving inequalities you must _________________ the inequality when ____________________ by a negative.
a)
flip; dividing
b)
ignore; multiplying and dividing
c)
flip; multiplying
d)
flip; multiplying and dividing
21.
Could x = 3 be solution to the inequality
6 < x + 5 ≤ 11?
6 < x + 5 ≤ 11?
a)
Yes
b)
No
22.
-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
23.
Solve for x
l 5x l = 40
l 5x l = 40
a)
x = 8 and x =-8
b)
x = 35 and x = -35
c)
Only x = 8
d)
No Solution
24.
Solve for x
l 2x−1 l = 9
l 2x−1 l = 9
a)
x = 5 and x =-4
b)
x = 5 and x = -5
c)
Only x = 5
d)
No Solution
25.
Solve for x
l x−6 l + 4= 10
l x−6 l + 4= 10
a)
x = 12 and x = 0
b)
x = 3 and x = -3
c)
x = -12 and x = 0
d)
No Solution
26.
Solve for x
3 l 4w−1 l −5 = 10
3 l 4w−1 l −5 = 10
a)
x = 1.5 and x =-1
b)
x = -1.5 and x = 1
c)
x =1 and x = -1
d)
No Solution
27.
−2|−2r − 4| = -12
a)
{3,1}
b)
{-5,1}
c)
{-5,5}
d)
No Solution
28.
|−2n| + 10 = −50
a)
{30, -30}
b)
{20,-20}
c)
{-5,5}
d)
No Solution
29.
Solve.
|c + 4| < 5
|c + 4| < 5
a)
x < -9 or x > 1
b)
-9 < x < 1
c)
x < 9 or x > -1
d)
-1 < x < 9
30.
Solve.
|y - 4| ≥ 8
|y - 4| ≥ 8
a)
y ≤ -4 or y ≥ 12
b)
-4 ≤ y ≤ -12
c)
y ≤ 4 or y ≥ -12
d)
-12 ≤ x ≤ 4
31.
Solve.
|3c - 4| < 12
|3c - 4| < 12
a)
-2 2/3 < c < 5 1/3
b)
c < -5 1/3 or c > 2 2/3
c)
c < 5 1/3 or c > -2 2/3
d)
-5 1/3 < c < 2 2/3
32.
Solve.
|4m + 9| ≥ 21
|4m + 9| ≥ 21
a)
-7.5 ≤ m ≤ 3
b)
m ≤ -7.5 or m ≥ 3
c)
-3 ≤ m ≤ 7.5
d)
m ≤ -3 or m ≥ 7.5
33.
-2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
34.
Distribute
5(a + 6)
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
35.
Simplify the following expression:
3 + 5x + 8 - 2x
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
36.
Simplify the following expression:
(5 + 4x) + (2x - 8)
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
37.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
38.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
39.
3x2-x+2-5x2+8x-5
a)
8x2+9x+7
b)
-2x2+7x-3
c)
2x2+7x-3
d)
5x2-3
40.
y + x + y + y + x
a)
2 + 3
b)
x + y
c)
2x + 3y
d)
5xy
41.
X+X+X+X+X
a)
X + 5
b)
5X
c)
X+X+X+X+X+5
d)
X to the 5th power
42.
What is the original multiplication problem based on the distributive property below?
(400 x 8) + (30 x 8) + (2 x 8)
(400 x 8) + (30 x 8) + (2 x 8)
a)
4,302 x 8
b)
432 x 8
c)
423 x 8
d)
4,320 x 8
43.
When distributing out 3,294 x 6, what should be in the ?
(3,000 x ?) + (200 x ?) +
(90 x ?) + (4 x ?)
(3,000 x ?) + (200 x ?) +
(90 x ?) + (4 x ?)
a)
3
b)
4
c)
5
d)
6
44.
-(5x + 1)
a)
-5x + 1
b)
-5x - 1
c)
5x + 1
d)
5x - 1
45.
½(8x + 2)
a)
4x + 2
b)
4x + 1
c)
16x + 4
d)
16x - 4
46.
6(x + 1) - 5(x + 2)
a)
2x + 8
b)
x - 4
47.
8(x + 5) - 4(x + 4)
a)
4x + 24
b)
4x + 16
48.
3r + 2e; r = 3 e = 2
a)
15
b)
13
c)
54
d)
12
49.
x2 - (x - y)2 ⋅ y
If x = -5 and y = -8
If x = -5 and y = -8
a)
-47
b)
1377
c)
-128
d)
97
50.
r3 + 2s2
if r = -3 and s = 4
if r = -3 and s = 4
a)
59
b)
5
c)
37
d)
91
51.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
52.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
53.
What type of association does this graph show?
a)
Positive
b)
negative
c)
none
d)
all of the above
54.
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
55.
How many people purchased no food and no drink?
a)
60
b)
10
c)
20
d)
200
56.
What type of graph is this?
a)
Bar Graph
b)
Histogram
c)
Line Plot
57.
Which interval has 400 employees?
a)
33-43
b)
0-10
c)
77-87
d)
66-76
58.
How many students are between 48 and 51 inches tall?
a)
14
b)
8
c)
2
d)
0
59.
This is a histogram
a)
true
b)
false
60.
What is the median?
a)
62
b)
58
c)
66
d)
60
61.
What is the minimum value?
a)
64
b)
58
c)
66
d)
61
62.
What is the maximum value?
a)
58
b)
66
c)
64
d)
60
63.
What value is the lower quartile (Q1)?
a)
66
b)
58
c)
60
d)
64
64.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
65.
What is the RANGE of this data
a)
40
b)
95
c)
90
d)
100
66.
What is the MEDIAN of this data
a)
95
b)
90
c)
100
d)
40
67.
What is the MEAN for this data?
a)
80
b)
1040
c)
13
d)
81
68.
Which city has a higher median?
a)
Millersburg
b)
Arcadia
69.
Find the mean:
28, 18, 19, 18, 17
28, 18, 19, 18, 17
a)
20
b)
18
c)
11
d)
19
70.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
71.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
72.
Find the median:
5, 6, 3, 9, 0, 4, 1, 2, 7
5, 6, 3, 9, 0, 4, 1, 2, 7
a)
4
b)
4.1
c)
5
d)
4.5
73.
Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4
5, 0, 9, 9, 3, 0, 5, 5, 4
a)
9
b)
5
c)
3
d)
7
74.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
75.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
76.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
77.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
78.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
79.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
80.
Give the y-interecept
3x + y = 5
3x + y = 5
a)
(-3, 0)
b)
(0,5)
c)
(-5, 0)
d)
(0, -3)
81.
Give the x-intercept
3x + 8y = 24
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
82.
What is the y-intercept?
a)
(0,7)
b)
(0, 0)
c)
(0,1)
d)
(0, 2)
83.
The _____ is the point where the x- and y-axis intersect.
a)
quadrant
b)
x-axis
c)
y-axis
d)
origin
84.
The ______ is horizontal.
a)
y-axis
b)
x-axis
c)
origin
d)
quadrant
85.
The line pictured has a(n) ______ slope.
a)
Positive
b)
Negative
c)
Undefined
d)
Zero
86.
The line pictured as a(n) ______ slope.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
87.
Bob has $150 in his savings account and saves $40 per month.
a)
y=150 + 40
b)
y=40x + 150
c)
y=150x + 40
88.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
89.
Find the rate of change.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
90.
Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?
a)
$50 per hour
b)
$12 per hour
c)
$192 per hour
d)
$25 per hour
91.
Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
a)
(8,10)
b)
8, 3, 0, 4, 9
c)
(0,8)
d)
(9,0)
92.
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
93.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
94.
What is the slope-intercept form of a line?
a)
Ax + By = C
b)
y = mx + b
c)
y - y1 = m(x - x1)
d)
y = Ax + By
95.
What is standard form of a line?
a)
y = mx + b
b)
Ax + By = C
c)
y - y1 = m(x - x1)
d)
y = Ax + By
96.
Which equation is written in STANDARD form?
a)
y = 1/2x + 2
b)
y - 3 = -5(x + 2)
c)
-7x + 2y = 9
d)
3x + 2 = y
97.
Which of the following are written in standard form?
a)
y=3x-5
b)
3x+16=5y
c)
2/3 x + 9/13 y = 21
d)
5x+7y=-12
98.
What is the slope of
6x-y=9?
6x-y=9?
a)
9/6
b)
-9
c)
6
d)
-6
99.
The graphs of two linear equations are shown. What is the best estimate of the solution to the system of equations?
a)
(0, 2)
b)
(2, 0)
c)
(2, -2)
d)
(-2, -2)
e)
(-2, 2)
100.
Which system of linear equations is shown on the graph?
a)
y= 4x-2 and y=1/4x-2
b)
y=-1/4x-2 and y=-4x-2
c)
y=1/4x-2 and y=-4x-2
d)
y=-1/4x-2 and y=4x-2
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