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WorksheetsSolving Equations and Inequalities Review
Total questions: 20
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
0 = 8z + 8
a)
-1
b)
1
c)
0
d)
8
2.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
3.
Solve:
−(8x−4)−(6x−2)=6−4x+5x
a)
infinitely many solutions
b)
no solution
c)
x=0
d)
x=−2
4.
A - B = C
(solve for A)
a)
A = C - B
b)
A = C + B
c)
A - C = B
d)
B = A - C
5.
IR = V
(solve for R)
a)
R=IV
b)
R=VI
c)
R=IV
d)
R=V−I
6.
Given ax−b=c, solve for x.
a)
x = ac+b
b)
x = ac−b
c)
x = ca+b
d)
x = bc+a
7.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
8.
Solve for k.
7k – 2 ≥ -9
7k – 2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
9.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
10.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
11.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
12.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
13.
Which of the following are solutions to the inequality x>8 ?
a)
6
b)
7
c)
9
d)
10
14.
Solve for x
−4+3x=−4
a)
0
b)
1
c)
-3
d)
3
15.
Which of the following are solutions to the inequality k≤15 ?
a)
10
b)
15
c)
20
d)
25
16.
Solve the equation.
−18 − 6k = 6(1+ 3k)
a)
k = -2.67
b)
k = -1
c)
k = 1
d)
k = 6
17.
-20 = -4c -6c
a)
c = -2
b)
c = 2
18.
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
19.
A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?
a)
60 - 15x = 210
b)
15x - 60 = 210
c)
15x + 60 = 210
d)
210 + 15x = 60
20.
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
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