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WorksheetsAlgebra 99 Questions
Total questions: 99
Worksheet time: 7hrs 40mins
Name
Class
Date
1.
An equation is...
a)
a problem that contains at least one variable and at least one operation; no equal sign
b)
a mathematical sentence showing two expressions are equal.
c)
The solution for a variable
d)
The value that results in a true sentence
2.
Inverse Operations are operations which undo each other.
a)
True
b)
False
3.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 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.
4.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
5.
Solve for x:
52 = -5x - 3
52 = -5x - 3
a)
x = 11
b)
x = -11
c)
x = 275
d)
x = -275
6.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
7.
Which equation has x=9 as a solution
a)
4 + x = 12
b)
5x = 45
c)
2x = 20
d)
x + 7 = 26
8.
5x+1=2x-5
a)
x=-2
b)
x=-6
c)
x=3
d)
x=.5
9.
6x+3=2x-9
a)
x=-3
b)
-12
c)
x=-4
d)
x=6
10.
Solve.
(2x - 3) / 4 = 9
(2x - 3) / 4 = 9
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
11.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
12.
Solve for y:
5x - y = 16
5x - y = 16
a)
-y = 5x + 16
b)
y = 5x + 16
c)
x = 5y - 16
d)
y = 5x - 16
13.
ax + c = R
(solve for x)
(solve for x)
a)
ax = R + c
b)
ax = R - c
c)
x = a(R-c)
d)
x = (R-c) / a
14.
Which expression represents the value of e in the equation:
dx + e = f
a)
e = (f + e)/d
b)
e = (f - x)/d
c)
e = d/(x - f)
d)
e = f-dx
15.
Solve the equation for w.
x = w / a
x = w / a
a)
w = a / x
b)
w = x / a
c)
w = ax
d)
x = wa
16.
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)
17.
pV = nRT
solve for R
a)
R= p/n + V/T
b)
R= pV - nT
c)
R= (pV-n)/T
d)
R=pV/nT
18.
Solve:
C = 2πr, for r
C = 2πr, for r
a)
C/(2π) = r
b)
C + 2π = r
c)
C - 2π = r
d)
2πC = r
19.
Inverse of
division
division
a)
addition
b)
equals
c)
subtraction
d)
multiplication
20.
a)
T = PV/K
b)
T = PK/V
c)
T=KV/P
d)
Greenland
21.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
22.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
23.
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.
a)
.50x + 20 = 35
b)
.50x = 35
c)
.50 + 20x = 35
d)
.50x - 20 = 35
24.
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
25.
A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
26.
WRITE AN EQUATION
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
a)
24-10=7x
b)
24+7x=10
c)
10+7x=24
d)
10+x=14
27.
After
paying $3.32 for a sandwich, Brenda has $19.79. How much money did she start
with? Which equation could you use to solve this problem?
a)
3.32m=19.79
b)
m-19.97=3.32
c)
m-3.32=19.79
28.
In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?
a)
f + 8 = 14
b)
f - 8 = 14
c)
f/8 = 14
d)
8f=14
29.
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?
a)
C = 0.20x + 15
b)
C =15 (0.20x)
c)
C = 15 + x + 0.20
d)
C = 0.20 + 15x
30.
The first play of a football game resulted in a loss of 12 yards. Then a penalty resulted in another loss of 5 yards. What is the total loss or gain?
a)
a gain of 7 yards
b)
a loss of 7 yards
c)
a gain of 17 yards
d)
a loss of 17 yards
31.
Melanie spent half of her allowance going to the movies. She washed the family car and earned $8. What is her weekly allowance if she ended with $12?
a)
$8
b)
$10
c)
$12
d)
$14
32.
Oceanside Bike Rental Shop charges $12 plus $6 per hour for renting a bike. Sally paid $66 to rent a bike. How many hours did she pay to have the bike checked out?
a)
6
b)
7
c)
8
d)
9
33.
Sandy has 41 books in her library. She bought several books at a yard sale over the weekend. She now has 94 books in her library. How many books did she buy at the yard sale?
a)
134
b)
53
c)
41
d)
60
34.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
35.
-11-5a = 6(5a + 4)
a)
-1
b)
-2
c)
-3
d)
-4
36.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
37.
5x - 4 + 2x = 3
a)
1
b)
2
c)
3
d)
4
38.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
39.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
40.
If 37 less than the product of 15 and a number is 38, which of the below items is true?
a)
The solution is -5.
b)
The solution is 60.
c)
The equation is
37 - 15x = 38
37 - 15x = 38
d)
The equation is
15x - 37 = 38
15x - 37 = 38
41.
-8(-8x - 6) = -6x - 22
a)
2/5
b)
-1
c)
8/7
d)
2
42.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
43.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
44.
Once we have solved for the variable, we have to make sure:
a)
to turn off the curling iron.
b)
to feed the dog.
c)
to do our homework.
d)
that our answer makes sense.
45.
During the fall, you decide to rake leaves and charge $12 for coming to a house and raking, and then $9 for every hour you rake. If you make $57 in each of 3 houses you went to in one day, how many hours did you spend shoveling?
a)
2 hours
b)
12 hours
c)
15 hours
d)
10 hours
46.
Find the equation of the line that passes through the points:
(2, 2) and (3, 4)
(2, 2) and (3, 4)
a)
y = 2x + 2
b)
y = -2x - 2
c)
y = -2x + 2
d)
y = 2x - 2
47.
Find the equation of the line that passes through the points:
(-3, 3) and (3, -1)
(-3, 3) and (3, -1)
a)
y = -⅔ x + 1
b)
y = -⅔ x
c)
y = ⅔ x + 1
d)
y = -⅔ x +3
48.
Find the equation of the line that passes through the points:
(3, 4) and (0, -5)
(3, 4) and (0, -5)
a)
y = 3x + 5
b)
y = -3x + 4
c)
y = -3x + 4
d)
y = 3x - 5
49.
Find the equation of the line that passes through the points:
(0, -2) and (-5, 3)
(0, -2) and (-5, 3)
a)
y = -x - 2
b)
y = x - 2
c)
y = x + 3
d)
y = -x - 3
50.
Find the equation of the line that passes through the points:
(3, 3) and (1, -5)
(3, 3) and (1, -5)
a)
y = -9x + 4
b)
y = 4x - 9
c)
y = ¼ x + 9
d)
y = -9x - 4
51.
Find the equation of the line that passes through the points:
(5, 3) and (4, -3)
(5, 3) and (4, -3)
a)
y = 27x + 6
b)
y = -6x
c)
y = 6x - 27
d)
y = 6x + 27
52.
Find the equation of the line that passes through the points:
(0, -5) and (4, 3)
(0, -5) and (4, 3)
a)
y = 2x - 5
b)
y = 2x + 5
c)
y = 5x - 2
d)
y = 5x + 2
53.
Determine the slope from the table.
a)
-2
b)
2
c)
-1/2
d)
1/2
54.
Determine the slope.
a)
-3
b)
3
c)
-1/3
d)
1/3
55.
Determine the slope.
a)
4
b)
-4
c)
1/4
d)
-1/4
56.
Determine the slope.
a)
-5
b)
5
c)
-1/5
d)
1/5
57.
Determine the slope.
a)
-0.25
b)
0.25
c)
1/0.25
d)
-1/0.25
58.
Determine the slope.
a)
2/5
b)
-2/5
c)
5/2
d)
-5/2
59.
Determine the slope.
a)
1/2
b)
-1/2
c)
2
d)
-2
60.
Determine the slope.
a)
-5/3
b)
5/3
c)
3/5
d)
-3/5
61.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
62.
What is the range of the graph?
a)
y≥1
b)
x≥1
c)
All real numbers
d)
none of these
63.
What is the domain?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
64.
What is the range?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
65.
What is the proper domain?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
66.
What is the proper range?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
67.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
68.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
69.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
70.
What is the range?
a)
-3 < y ≤ 3
b)
-4 ≤ y < 5
c)
-4 ≤ y ≤ 5
d)
-3 < y ≤ 3
71.
What is the domain?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
72.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
R: {1, -3, -4, 1}
73.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7}
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
74.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
75.
What is the Domain of this linear function?
a)
-6 ≤ x ≤ 6
b)
0 ≤ x ≤ 7
c)
2 ≤ x ≤ 7
d)
No Solution
76.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
77.
What is the range?
a)
-7≤x≤6
b)
-7<x<6
c)
-8<y<2
d)
-8≤y≤2
78.
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.
79.
The ___________ is the set of all y-values
a)
domain
b)
range
c)
independent variable
d)
dependent variable
80.
The domain is the set of all ______________
a)
y-values
b)
x-values
c)
ordered pairs
d)
functions
81.
The variable that is graphed on the y-axis is the ________________
a)
Independent Variable
b)
Dependent Variable
c)
Constant
d)
Domain
82.
The domain of the function below is
{ (18, 5) (6, 9) (-14, 1)}
{ (18, 5) (6, 9) (-14, 1)}
a)
{1, 5, 9}
b)
{-14, 6, 18}
c)
{-14, 1, 5, 6, 9, 18}
d)
{-14, 6, 8}
83.
What is the range of the relation?
a)
{1, 4}
b)
{-5, -4}
c)
{-5, -4, 1, 4}
d)
{-5, 1, 4}
84.
a set of numbers or coordinates used to locate any point on a coordinate plane, written in the form (x,y)
a)
Domain
b)
Range
c)
Origin
d)
Ordered pair
85.
Four regions into which the x- and y-axis separate the coordinate plane.
a)
Ordered pair
b)
coordinate plane
c)
quadrants
d)
mapping
86.
a set of ordered pairs
a)
relation
b)
mapping
c)
function
d)
function notation
87.
The set of all first coordinates (or x-values) of a relation or function
a)
ordered pair
b)
domain
c)
range
d)
zeros
88.
A plane divided into four regions by horizontal and vertical number lines that is used for graphing
a)
quadrants
b)
coordinate plane
c)
domain
d)
range
89.
Given a graph, this test is used to determine whether a relation is a function
a)
horizontal line test
b)
function notation
c)
mapping
d)
Vertical line test
90.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
91.
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.
92.
Is this table a function or not a function?
a)
Function
b)
Not a Function
93.
Is this table a function or not a function?
a)
Function
b)
Not a Function
94.
Find the slope
a)
-3/4
b)
4/3
c)
3/4
d)
-4/3
95.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
96.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
97.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
98.
Find the slope
a)
4/5
b)
5/4
c)
-5/4
d)
-4/5
99.
Find the slope
a)
5/2
b)
-5/2
c)
2/5
d)
-2/5
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