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WorksheetsAlgebra I part 1
Total questions: 132
Worksheet time: 6hrs 58mins
Name
Class
Date
1.
Which inequality is graphed below?
a)
x < -4
b)
x ≤ -4
c)
x > -4
d)
x ≥ -4
2.
Solve -2t > -14.
a)
t < -7
b)
t > -7
c)
t < 7
d)
t > 7
3.
Which equation represents a linear function?
a)
xy = 8
b)
y = 2x3
c)
x + y = 7
d)
3x2 – 4y = 12
4.
Which equation describes a line that passes through (-1, 8) and (5, -2)?
a)
y = -5/3x + 19/3
b)
y = -x + 7
c)
y = -5/3x +9
d)
y = -x + 9
5.
What is the slope of a line perpendicular to the line that passes through (0, 2) and (4, 5)?
a)
-4/3
b)
3/4
c)
-3/4
d)
4/3
6.
Which ordered pair is a solution of the system of equations:
x = 2y - 11
4x + y = 10
x = 2y - 11
4x + y = 10
a)
(-3, 4)
b)
(0, 10)
c)
(1, 6)
d)
(5, 8)
7.
Solve the system:
2x + 5y = 4
3x + 5y = 1
2x + 5y = 4
3x + 5y = 1
a)
(-3, 2)
b)
(1, -2/5)
c)
(-2/5, 1)
d)
(2, -3)
8.
Which inequality is represented by the graph?
a)
y > -4x - 3
b)
y > -1/4x - 3
c)
y ≥ -1/4x - 3
d)
y ≥ -4x - 3
9.
Simplify (x3)-2 · x8.
a)
1/(x3)
b)
x3
c)
x2
d)
1/(x2)
10.
The area of a rectangle is x3y4. Which expression represents the length if the width is x2y?
a)
y3
b)
xy
c)
xy3
d)
3
11.
What is the slope between the points
(-3, -4) & (7, 6)?
(-3, -4) & (7, 6)?
a)
0
b)
Undefined
c)
-1
d)
1
12.
Which binomial is a difference of two
squares?
squares?
a)
4x - 9
b)
x2 - 1
c)
9x4 + 25
d)
16x6 - 10
13.
The area of a rectangle is 2x2 - x - 21 square meters. The width is 2x - 7 meters. What is the length?
a)
x - 3
b)
2x + 3
c)
2x - 3
d)
x + 3
14.
Write
6x+2y=-8
in slope-intercept form.
6x+2y=-8
in slope-intercept form.
a)
y=3x+4
b)
y=-3x-4
c)
y=3x-4
d)
y=6x-8
15.
Who is this?
a)
Santa Claus
b)
Godzilla
c)
Master Chief
d)
Gumby
16.
What is the slope of this line?
y=4x+7
y=4x+7
a)
4
b)
7
c)
4/7
d)
-1/4
17.
What is the y-intercept of this line?
y=9x-3
y=9x-3
a)
(0,9)
b)
(-3,0)
c)
(0,0)
d)
(0,-3)
18.
What is the slope of the line connecting (3, -1) and (5, 5)?
a)
-3
b)
6
c)
3
d)
-6
19.
What is the equation of the line perpendicular to
y=-1/2x+6 that passes through the point (2, 5)?
y=-1/2x+6 that passes through the point (2, 5)?
a)
y=2x+5
b)
y=2x+1
c)
y=-1/2x+5
d)
y=-1/2x+1
20.
Write the equation of the line parallel to y=3x+1 that passes through (-1, 0).
a)
y=-1/3x+3
b)
y=-1/3x-1
c)
y=3x
d)
y=3x+3
21.
What is the slope of the line
4x-2y=14?
4x-2y=14?
a)
m=2
b)
m=4
c)
m=-2
d)
m=-7
22.
Simplify.
a²⋅a³=?
a²⋅a³=?
a)
a⁵
b)
a⁶
c)
a¹
d)
a²
23.
Domain is _. Range is _.
a)
x; y
b)
y; x
24.
What is the slope of this line?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
25.
What is the slope of this line?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
26.
Is this relation also a function?
{(1, 2), (2, 4), (3, 4), (4, 5)}
{(1, 2), (2, 4), (3, 4), (4, 5)}
a)
Yes
b)
No
27.
Given
f(x) = 4x+1
Find f(3).
f(x) = 4x+1
Find f(3).
a)
3
b)
12
c)
5
d)
13
28.
Solve the inequality:
-2(x+1)≥6
-2(x+1)≥6
a)
x≥4
b)
x≥-4
c)
x≤-4
d)
x≤4
29.
Solve for x:
3(x+2)=7(8-x)
3(x+2)=7(8-x)
a)
x=12.5
b)
x=6.2
c)
x=5
d)
x=3
30.
Simplify the expression:
3(2-x)-4(3x-2)
3(2-x)-4(3x-2)
a)
-9x+14
b)
-15x+14
c)
-15x-2
d)
-9x-2
31.
Solve for x:
5x+4=-2x+32
5x+4=-2x+32
a)
x=3
b)
x=-4
c)
x=4
d)
x=-3
32.
Solve for x:
x+10=22
x+10=22
a)
x=32
b)
x=2.2
c)
x=-12
d)
x=12
33.
Combine like terms:
9x+3-2x+1
9x+3-2x+1
a)
7x+4
b)
11x+4
c)
There are no like terms.
d)
11x+1
34.
Distribute:
a(b+c-d)
a(b+c-d)
a)
ab-cd
b)
ab+ac-ad
c)
ab+ac+ad
d)
-abcd
35.
How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
36.
Solve for x and y
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.
Solve the system by substitution.
5x + 4y= −14
y = −7x − 15
5x + 4y= −14
y = −7x − 15
a)
(-2, -1)
b)
(1, -2)
c)
(-2, 1)
d)
(-1, -2)
38.
Find the Range of
{ (1, 2), ( 7, 2), (-7, 6), (10, -2)}
{ (1, 2), ( 7, 2), (-7, 6), (10, -2)}
a)
{ -2, 2, 6}
b)
{-7, 1, 7, 10}
39.
Solve 2x2 + 4x = 30.
a)
-5 and 3
b)
-5 and 2
c)
-3 and 5
d)
-3 and 2
40.
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
41.
What is the slope between the points
(-3, -4) & (7, 6)?
(-3, -4) & (7, 6)?
a)
0
b)
Undefined
c)
-1
d)
1
42.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
43.
Which of these represents point-slope form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
44.
Which equations are equal to
3x - 5y = 10 ?
3x - 5y = 10 ?
a)
I
b)
II
c)
II and III
d)
I, II, and III
45.
a)
Function
b)
Not a Function
46.
a)
Function
b)
Not a Function
47.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
48.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
49.
Find the Domain of
{ (1, 2), ( 7, 2), (-7, 6), (10, -2)}
{ (1, 2), ( 7, 2), (-7, 6), (10, -2)}
a)
{ -2, 2, 6}
b)
{-7, 1, 7, 10}
50.
Without using a graphing calculator: What direction is the following equation opening?
y=5x2+6x+9
y=5x2+6x+9
a)
Up
b)
Down
51.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
52.
Write the equation of a line that contains the point (3, 5) and has a slope of 3 in slope-intercept form.
a)
y = 3x - 4
b)
y - 5 = 3(x-3)
c)
y = 3x + 14
d)
y + 5 = 3(x+3)
53.
Which graph represents x = 2?
a)
A
b)
B
c)
C
d)
D
54.
Which graph represents y = -3?
a)
A
b)
B
c)
C
d)
D
55.
Which of the following lines is parallel to the line given by y=5x+3?
a)
y=-5x-3
b)
y=5x
c)
y=0.2x+5
d)
y=-0.2x-7
56.
Answer
a)
A
b)
C
c)
B
d)
D
57.
Answer
a)
A
b)
C
c)
B
d)
D
58.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
59.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
60.
Write an equation for a line perpendicular to y = -5x + 3 through (-5, -4)
a)
y = -3x + 1/5
b)
y = -3x - 1/5
c)
y = 1/5x - 3
d)
y = -1/5x - 3
61.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
62.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
63.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
64.
Which system of inequality is shown?
a)
y > x - 2
y ≤ 2x + 2
y ≤ 2x + 2
b)
y > x + 2
y ≤ 2x + 2
y ≤ 2x + 2
c)
y ≥ x - 2
y ≤ 2x + 2
y ≤ 2x + 2
d)
none of these are the system
65.
Which system of inequality 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 + 4
y ≥ x + 4
66.
Which statement represents the expression 2q + 3?
a)
the quotient of 2 and q, plus 3
b)
the difference of 2 times q and 3
c)
3 more than the product of 2 and q
d)
3 less than the quotient of 2 and q
67.
Evaluate 2ps for
p = 3 and s =5.
p = 3 and s =5.
a)
6
b)
30
c)
10
d)
23
68.
A new park opened on Monday with 45 visitors. The manager estimates that the number of visitors doubled every day from the previous day during its opening week. About how many visitors did the park receive on Friday?
a)
180
b)
225
c)
720
d)
1440
69.
Which expression shows the absolute value of the sum of x and 6?
a)
|x + 6|
b)
6|x|
c)
|x| + 6
d)
|6x|
70.
A gumball machine dispenses 2 gumballs for every quarter inserted. Which rule can be used to find the number of quarters in the gumball machine after x gumballs have been dispensed?
a)
y = 1/2x
b)
y = x - 1/2
c)
y = 2x
d)
y = 2/x
71.
Solve:
d + 3/4 = -1/4
d + 3/4 = -1/4
a)
-1
b)
1/2
c)
-1/2
d)
1
72.
Ama deposited her babysitting money into her savings account, which already had a balance of $210. Her new balance is $295. Which equation can be solved to find how much she deposited?
a)
295 + 210 = x
b)
x + 295 = 210
c)
x + 210 = 295
d)
210x = 295
73.
Solve:
8z + 11 = -5
8z + 11 = -5
a)
-2
b)
13/11
c)
-13/11
d)
2
74.
Trey's mechanic said he could fix Trey's car at a rate of $20 per hour, plus $400 for the cost of a part. Trey's neighbor said he already has the needed part and will fix his car for only $70 per hour. For how many hours will the cost of getting his car fixed by either person be the same?
a)
4
b)
5
c)
6
d)
8
75.
A proofreader read 195 pages in 7 hours. To the nearest hundredth, what is her reading rate in pages per minute?
a)
0.02 pages/min
b)
0.46 pages/min
c)
1.16 pages/min
d)
27.86 pages/min
76.
Every dimension of the prism shown was multiplied by a scale factor to form a similar prism. The new prism has a volume of 6000 cubic centimeters. What is the scale factor?
a)
3
b)
5
c)
48
d)
125
77.
Solve the compound inequalitity:
24 ≤ x - 6 ≤ 100
24 ≤ x - 6 ≤ 100
a)
18 ≤ x AND x ≤ 94
b)
30 ≤ x AND x ≤ 106
c)
18 ≤ x OR x ≤ 94
d)
30 ≤ x OR x ≤ 106
78.
Which situation could be represented by the graph?
a)
Deb sold the same number of vases every year.
b)
Deb sold vases for two years then began purchasing new vases.
c)
Deb sold vases for two years, neither sold nor bought the next year, and then sold vases for two more years.
d)
Deb bought vases for two years, sold vases the next year, and then bought vases the last two years.
79.
Which scatter plot is the best example of a positive correlation?
a)
A
b)
B
c)
C
d)
D
80.
Which relation is NOT a function?
a)
{(2,6), (4,6), (6,6)}
b)
{(3,1), (3,5), (3,8)}
c)
{(0,0), (1,1), (6,6)}
d)
{(6,2), (2,6), (3,9)}
81.
Which equation best describes the relationship between x and y?
a)
y = x - 5
b)
y = x + 5
c)
y = -4x
d)
y = 4x
82.
Which function is NOT linear?
a)
y = 3x
b)
y = x2 + 2
c)
x - y + 1
d)
y = 3x/4
83.
What is the y-intercept of
4x - 3y = 24?
4x - 3y = 24?
a)
-8
b)
6
c)
-6
d)
8
84.
What is the slope of the line?
a)
-5
b)
-4
c)
1/4
d)
4
85.
Which shows
-2x + y = -6 written in slope-intercept form?
-2x + y = -6 written in slope-intercept form?
a)
y = -4x
b)
y = 3x
c)
y = -2x +6
d)
y = 2x -6
86.
The value of y varies directly with x, and y = 10 when x = -5. Find y when
x =3.
x =3.
a)
-6
b)
-1 1/2
c)
-2/3
d)
-1/6
87.
A line has a slope of 3 and contains the point (4,6). Which is the equation of the line?
a)
y = 3x - 12
b)
y = 3x - 6
c)
y = 3x - 14
d)
y = 3x + 2
88.
The table shows the number of minutes per day members of a cross country team spent practicing over the summer and the members' mile time the following semester.
a)
y ≈ -0.06x + 7.6
b)
y ≈ 7.6x - 0.06
c)
-6x + 76
d)
76x - 6
89.
Which describes a line passing through (-6,-5) that is perpendicular to y = -⅔x?
a)
y = 3/2x +4
b)
y = 3/2x - 4
c)
y = 2/3x - 1
d)
y = -2/3x -9
90.
The graph of g(x) is shown below. It was created by translating the graph of f(x) 4 units up.
Which is f(x)?
Which is f(x)?
a)
f(x) = -6x + 1
b)
f(x) = -2x - 3
c)
f(x) = -2x + 5
d)
f(x) = 2x + 1
91.
Find the product.
(m-8)(m-9)
(m-8)(m-9)
a)
m2+17m-72
b)
m2-17m-72
c)
m2-17m+72
d)
m2-72
92.
Find the product.
(y+20)(y-20)
(y+20)(y-20)
a)
y2-40y+400
b)
y2-400
c)
y2+40y+400
d)
2y-40
93.
Find the product.
(d+9)2
(d+9)2
a)
d2+81
b)
d2+18d+81
c)
d2-81
d)
d2-18d-81
94.
Find the product.
(d+9)2
(d+9)2
a)
d2+81
b)
d2+18d+81
c)
d2-81
d)
d2-18d-81
95.
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
96.
11b+7=40
a)
2
b)
1
c)
4
d)
3
97.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
98.
19h - 7 = 23 + 14h
a)
h= -6
b)
h = 6
c)
all real numbers
d)
no solution
99.
4x - 9x + 3 = -32
a)
-35/13
b)
7
c)
-7
d)
-29/5
100.
38 + 7k = 8(k + 4)
a)
6
b)
8
c)
-6
d)
1
101.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
102.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
103.
2 (x + 3) - 3 (2x - 6) = 60
a)
1.5
b)
-9
c)
9
d)
-1.5
104.
Given the slope and a point, write the equation of the line:
(y = mx + b)
m = 2
(-3, 4)
(y = mx + b)
m = 2
(-3, 4)
a)
b = 10
b)
y = 10x + -3
c)
y = 2x + 10
d)
x = -3
105.
Write the equation of the line.
a)
y=(3/5)x+1
b)
y=(3/5)x-1
c)
y=(5/3)x+1
d)
y=(3/5)x+1
106.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
107.
Find the slope of the line that passes through the given pair of points: (-2, -3), (4, 3)
a)
m = 3
b)
m = 2
c)
m = 1
d)
m = -1
108.
Write the equation of the line.
a)
y=-3x-4
b)
y=-4x-3
c)
y=(-3/4)x-3
d)
y=(-4/3)x-3
109.
Identify the slope and y-intercept of:
y = 1/2x - 1
y = 1/2x - 1
a)
slope: 1/2 y-intercept: -1
b)
slope: 2/1 y-intercept: -1
c)
slope: 3 y-intercept: -3
d)
slope: 2 y-intercept: 5
110.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
111.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
112.
Which equation describes the table?
a)
y = 1/4x
b)
y = 4 - x
c)
y = 4 + x
d)
y = 4x
113.
What is the missing value in the table?
a)
11
b)
24
c)
8
d)
9
114.
How do you write slope intercept form?
a)
y=mxs+b
b)
y=mx+b
c)
x=ym+b
d)
x=y
115.
Solve!
a)
1
b)
2
c)
3
d)
4
116.
On the McDonald's Logo, the M is made up of two parabolas. At the very top of each parabola is that quadratic's...
a)
Minimum Value
b)
Solution
c)
Quadratic Formula
d)
Vertex
117.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Basketball
c)
Maximum Value
d)
A parabola
118.
a)
Function
b)
Not a Function
119.
a)
Function
b)
Not a Function
120.
a)
Function
b)
Not a Function
121.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
122.
If f(x)=2x+25, find f(5).
a)
f(5) = 60
b)
f(5) = 40
c)
f(5) = -15
d)
f(5) = 35
123.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
124.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
125.
Simplify:
(7y4)2
(7y4)2
a)
7y6
b)
14y8
c)
14y6
d)
49y8
126.
What is the simplest form of this expression
4x-6a+5a-2x
4x-6a+5a-2x
a)
2x-1a
b)
21xa
c)
6x+11a
127.
Subtract these expressions
3(x+5) - (2x+5)
3(x+5) - (2x+5)
a)
x-15
b)
5x + 20
c)
x + 10
d)
x+15
128.
Find the slope of the line.
a)
4/2
b)
-4/2
c)
2
d)
-2
129.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
130.
Write the equation of a line that contains the point (3, 5) and has a slope of 3 in slope-intercept form.
a)
y = 3x - 4
b)
y - 5 = 3(x-3)
c)
y = 3x + 14
d)
y + 5 = 3(x+3)
131.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=(1/4)x+3
d)
y= -4x+3
132.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
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