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WorksheetsEquations and Inequalities Review
Total questions: 31
Worksheet time: 8hrs 45mins
Name
Class
Date
1.
Four times Audrey's age plus 7 is Parag's age. Parag is 51. What is Audrey's age?
a)
7
b)
11
c)
15
d)
212
2.
The Long's sold a valuable painting for $55,000. This price is $1,000 more than twice the amount they originally paid for it. How much did they originally pay?
a)
$25,000
b)
$27,000
c)
$27,500
d)
$28,000
3.
Jamar earned $2,500 from his summer job at the grocery store. This is $350 more than twice what his friend Todd earned. How much did Todd earn from his summer job?
a)
$1,075
b)
$2,850
c)
$3,200
d)
$5,350
4.
What is the solution of the equation?
7 + n = -5
7 + n = -5
a)
-12
b)
-2
c)
2
d)
12
5.
What is the solution of the equation?
x/-5 = -6
x/-5 = -6
a)
-30
b)
-11
c)
11
d)
30
6.
What is the solution of the equation?
-39.75 = 7.5m
-39.75 = 7.5m
a)
298.125
b)
-5.3
c)
-32.25
d)
-298.125
7.
What is the solution of the equation?
8 = x + 1
8 = x + 1
a)
9
b)
7
c)
-7
d)
-9
8.
What is the solution of the equation?
7 + 2/5x = 1
7 + 2/5x = 1
a)
-15
b)
-6
c)
-3
d)
15
9.
What is the solution of the equation?
8/11x = -4/11
8/11x = -4/11
a)
1/2
b)
-36/11
c)
-1/2
d)
36/11
10.
What is the solution of the equation?
7 + 7/9x = -42
7 + 7/9x = -42
a)
-63
b)
-49
c)
49
d)
63
11.
What is the solution of the equation?
1/3y = 4 5/6
1/3y = 4 5/6
a)
1 11/8
b)
4 5/18
c)
12 5/6
d)
14 1/2
12.
What is the solution of the equation?
-0.5(x - 4.2) = 6.4
-0.5(x - 4.2) = 6.4
a)
-8.6
b)
8.6
c)
21.2
d)
-21.2
13.
What is the solution of the equation?
1/3a = 7/9
1/3a = 7/9
a)
2 1/3
b)
1 2/7
c)
7/27
d)
1/3
14.
What is the solution of the equation?
5x + 20 = -5x
5x + 20 = -5x
a)
1
b)
-1
c)
-2
d)
2
15.
What is the solution of the equation?
6x + 9 = 7x - 5
6x + 9 = 7x - 5
a)
14
b)
4
c)
-4
d)
-14
16.
What is the solution of the equation?
28 - 9x = -12 - 11x
28 - 9x = -12 - 11x
a)
-20
b)
-45
c)
45
d)
20
17.
What is the solution of the equation?
-0.4(x + 3) = 4
-0.4(x + 3) = 4
a)
-13
b)
-0.6
c)
1.4
d)
7
18.
What is an equivalent equation for the given equation?
6x + 10 = 23
6x + 10 = 23
a)
6x = 13
b)
6x = 33
c)
23 = 10 - 6x
d)
-23 = -6x + 10
19.
What is an equivalent equation for the given equation?
-4/5(x + 8) = 12
-4/5(x + 8) = 12
a)
x + 8 = 12
b)
-4/5 = 12
c)
-4/5x = 8
d)
x + 8 = -15
20.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
21.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
22.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
23.
Solve the inequality.
y/-2 ≤ 5
y/-2 ≤ 5
a)
y ≤ -5/2
b)
y ≥ -5/2
c)
y ≤ -10
d)
y ≥ -10
24.
Solve the inequality.
b/4 + 6 ≤ 3
b/4 + 6 ≤ 3
a)
b ≥ -12
b)
b ≥ 6
c)
b ≤ -12
d)
b ≤ 6
25.
Solve the inequality.
2/3a + 4 > -8
2/3a + 4 > -8
a)
a > -8
b)
a < -8
c)
a > -18
d)
a < -18
26.
Solve the inequality.
-3w - 2 < -17
-3w - 2 < -17
a)
w < 7.67
b)
w > 5
c)
w < 5
d)
w < 6.33
27.
It costs Amy $0.20 to send a text message. She has already spent $5 in text messages this month. If she has a total of $12 that can spend this month on text messages, write and solve an inequality that will give the greatest number of text messages that she can send.
a)
0.20x + 5 = 12;
85 text messages
85 text messages
b)
0.20(5x) = 12;
12 text messages
12 text messages
c)
0.20x + 5 ≤ 12;
x ≤ 35
x ≤ 35
d)
0.20x + 5 ≥ 12;
x ≥ 35
x ≥ 35
28.
When you solve one and two step equations and inequalities, whatever you do to one side you have to do to...
a)
one side
b)
both sides
c)
you can't solve equations and inequalities
29.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
30.
In an equation or inequality, you want to get the variable...
a)
on one side
b)
to disappear
c)
isolated (by itself)
31.
Whatever you do to one side, you always do to the other so that the equation or inequality...
a)
looks right
b)
remains true
c)
I don't know
d)
I don't care
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