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WorksheetsEquations and Inequalities Review
Total questions: 55
Worksheet time: 2hrs 49mins
Name
Class
Date
1.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5
2.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
3.
- 2k > 18
a)
k is greater than 20
b)
k is less than negative 9
c)
k is greater than negative 9
d)
k is less than 36
4.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
5.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
6.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
7.
In an equation or inequality, you want to get the variable...
a)
on the left side
b)
to disappear
c)
isolated (by itself)
d)
on the right side
8.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
9.
x is less than 9
a)
x < 9
b)
x > 9
c)
x ≥ 9
d)
x ≤ 9
10.
a number less than 7
a)
x > 7
b)
x < 7
c)
x ≤ 7
d)
x ≥ 7
11.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
12.
Match the graph with its inequality.
a)
a < 11
b)
a > 11
c)
a ≤ 11
d)
a ≥ 11
13.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
14.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
15.
The graph illustrates which of the following inequalities:
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than 2
16.
What is the inverse operation of Addition?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
17.
Solve the following inequality:
2x < 14
2x < 14
a)
x < 28
b)
x > 7
c)
x < 12
d)
x < 7
20.
What operation would you use to solve this equation?
a + 8 = 17
a + 8 = 17
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
19.
Mr. Bess lifts more than 350 pounds at the gym.
a)
x = 350
b)
x > 350
c)
x < 350
d)
350
20.
What operation would you use to solve this equation?
a + 8 = 17
a + 8 = 17
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
21.
more than
a)
<
b)
>
c)
≤
d)
≥
22.
Fewer Than
a)
<
b)
>
c)
≤
d)
≥
23.
No More Than
a)
<
b)
>
c)
≤
d)
≥
24.
At Least
a)
<
b)
>
c)
≤
d)
≥
25.
At Most
a)
<
b)
>
c)
≤
d)
≥
26.
less than or equal to
a)
<
b)
>
c)
≤
d)
≥
27.
Less Than
a)
<
b)
>
c)
≤
d)
≥
28.
Not Below
a)
<
b)
>
c)
≤
d)
≥
29.
Below
a)
<
b)
>
c)
≤
d)
≥
30.
No Fewer Than
a)
<
b)
>
c)
≤
d)
≥
31.
maximum
a)
<
b)
>
c)
≤
d)
≥
32.
Not Exceeding
a)
<
b)
>
c)
≤
d)
≥
33.
Above
a)
<
b)
>
c)
≤
d)
≥
34.
greater than or equal to
a)
<
b)
>
c)
≤
d)
≥
35.
is no less than
a)
<
b)
>
c)
≤
d)
≥
36.
minimum
a)
<
b)
>
c)
≤
d)
≥
37.
Not Above
a)
<
b)
>
c)
≤
d)
≥
38.
Exceeding
a)
<
b)
>
c)
≤
d)
≥
39.
Greater than
a)
<
b)
>
c)
≤
d)
≥
40.
To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.
a)
X < 5
b)
X > 5
c)
X ≥ 5
d)
X ≤ 5
41.
A student must be at least 15 years old to obtain a driver’s permit.
a)
x > 15
b)
x < 15
c)
x ≤ 15
d)
x ≥ 15
42.
To order from the kids menu a person must be no more than 12 years old.
a)
x > 12
b)
x < 12
c)
x ≥ 12
d)
x ≤ 12
43.
You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.
a)
X ≤ 169
b)
X < 169
c)
X < 156
d)
X > 156
44.
You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping.
a)
X > 5.05
b)
X ≥ 5. 05
c)
X > 69.95
d)
X ≥ 69.95
45.
You bike for 2 hours at a speed no faster than 17.6 miles per hour. Write and solve an inequality that represents the possible numbers of miles you bike.
a)
X ≤ 17.6
b)
X ≥ 17.6
c)
X ≥ 35.2
d)
X ≤ 35.2
46.
Which of the following inequalities would require you to flip the sign when solving?
a)
2x < 3
b)
3x > - 9
c)
-4x ≥ 10
d)
5x ≤ 15
47.
Match the graph with the given solution.
a)
A
b)
B
c)
C
d)
D
48.
Solve and then match the correct solution & graph.
a)
A
b)
B
c)
C
d)
D
49.
When you solve one-step equations, you can do anything you want to one side of the equal sign, as long as...
a)
it is mathematical
b)
you do the SAME thing to the other side
c)
solving equations is impossible
d)
I love Snow Days!
50.
What is the correct step to solve for the variable?
15 = m - 5
15 = m - 5
a)
add 5 to both sides
b)
add 15 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
51.
Evaluate (Solve):
f-22=36
a)
f = 62
b)
f = 14
c)
f = 58
d)
f = 12
52.
Choose the correct equation for the situation.
Jane (j) is 3 years older than Sam (s). If Jane 12, how old is Sam?
a)
s + 3 = 12
b)
s - 3 = 12
c)
j - 3 = 12
d)
j + 12 = 3
53.
What do you need to do to both sides to isolate the variable?
16 = 11k
a)
Divide both sides by 11
b)
Subtract 11 from both sides
c)
Multiply both sides by 11
d)
Add 11 to both sides
54.
What is the solution of 42 = 7f?
a)
294
b)
35
c)
49
d)
6
55.
Solve.
9y= 3
a)
12
b)
27
c)
6
d)
3
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