WorksheetsSolving Expressions, Equations, and Inequalities
Total questions: 20
Worksheet time: 19mins
Name
Class
Date
1.
An inverse operation is
a)
reversing the sign in an inequality
b)
using the opposite operation to solve equations
c)
A number’s distance from zero
2.
Like terms are
a)
numbers or same variable raised to the same power
b)
equal numbers
c)
only unknown values
3.
Choose an expression that is equivalent to the following
6n + 2(3 - 5n)
6n + 2(3 - 5n)
a)
n + 6
b)
6 - 4n
c)
16n + 6
4.
Choose the first step in solving the following equation.
-3y - 12 = 14
-3y - 12 = 14
a)
add 3 from both sides
b)
add 12 to both sides
c)
subtract 12 from both sides
5.
-12x > 36
a)
x > -3
b)
x > 48
c)
x < -3
6.
- 3( 4 - 2x) = 6
a)
x = 1
b)
x = -3
c)
x = 3
7.
Choose the equation that can be used to find the regular price, x, of a watch discounted 25% when the sales price is $50.
a)
x - .25 = 50
b)
1.25x= 50
c)
0.75x = 50
8.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
9.
When graphing b < 6 would you use an open or closed circle?
a)
Open ○
b)
Closed •
10.
Simplify
1/3(6x - 3) + 5(x + 2)
a)
7x + 9
b)
7x + 1
c)
7x + 7
11.
5x + 6 = 41
a)
x = -7
b)
x = 6
c)
x = 7
d)
x = -6
12.
Solve: -7(z - 6) = -70
a)
16
b)
-16
c)
8
d)
-1/2
13.
Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50. How many books will Holly and Ethan need to sell to make a profit of EXACTLY $30?
a)
10 books
b)
15 books
c)
20 books
d)
30 books
14.
Consider the inequality.
x + 3x < 24
Which value of x makes the inequality true?
x + 3x < 24
Which value of x makes the inequality true?
a)
5
b)
6
c)
7
d)
8
15.
Simplify the expression:
8(5 + w)
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
16.
Clean fast charges $2 per window plus a $15 fee. Write an equations for x amount of windows being cleaned for $100.
a)
2+15x=100
b)
2x+15=100
c)
2x-100=15
d)
100-2x=15
17.
Solve:
3(x - 2) = 18
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
18.
What inequality does the number line graph represent.
a)
x < 2
b)
x > 2
c)
x ≥ 2
d)
x ≤ 2
19.
Solve the inequality.
x + 5x ≤ 12
a)
x ≥ 2
b)
x ≥ 7
c)
x ≤ 2
d)
x ≤ 7
20.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
100 %
