NEW
Font size
S
M
L
XL
WorksheetsAlg 1 - solving inequalities
Total questions: 45
Worksheet time: 2hrs 13mins
Name
Class
Date
1.
X - 20 > -30
a)
X < -10
b)
X < 10
c)
X > -10
d)
X > 10
2.
X + 6 > 10
a)
X > 16
b)
X > -4
c)
X < -4
d)
X > 4
3.
A chef has 7 pounds of potatoes. She needs more than 14 pounds for dinner. What inequality describes the amount of potatoes the chef needs to buy?
a)
x - 7 > 14
b)
x + 7 > 14
c)
x - 7 < 14
d)
x + 7 < 14
4.
Isaac's goal is to earn at least $80 toward a week at soccer camp. He has earned $32 so far. How much more does he need to earn?
Which inequality fits this situation?
Which inequality fits this situation?
a)
m + 32 ≥ 80
b)
32 - m ≥ 80
c)
80 + 32 ≤ m
d)
m + 32 > 80
5.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
6.
Write an inequality for the graph
a)
a > -2
b)
a < -2
c)
a ≥ -2
d)
a ≤ -2
7.
What does this symbol mean?
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
8.
What does this symbol mean?
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
9.
What does this symbol mean?
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
10.
Solve:
b/2 < 7
b/2 < 7
a)
b < 14
b)
b < 3.5
c)
b < 5
11.
Solve:
-2 ≥ n / -3
-2 ≥ n / -3
a)
n ≤ 1
b)
n ≥ 6
c)
n ≥ 2/3
12.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
13.
Solve
x - 7 ≥ 4
x - 7 ≥ 4
a)
x ≥ 11
b)
x ≥ -11
c)
x ≥ 3
d)
x ≥ -3
14.
12x ≤ 6
a)
x ≤ 1/2
b)
x ≤ -1/2
c)
x ≤ 2
d)
x ≤ -2
15.
Which inequality does the graph represent?
a)
x > -1
b)
x < -1
c)
x ≤ -1
d)
x ≥ -1
16.
True of False, when solving inequalities, (<,≤,>,≥,) you solve it the same as an equation with an equal sign (=) except when you subtract a negative.
a)
True
b)
False
17.
True of False, when solving inequalities, (<,≤,>,≥,) you solve it the same as an equation with an equal sign (=) except when you multiply or divide by a negative.
a)
True
b)
False
18.
Does the sign need to flip when solving?
m - 5 > 8
m - 5 > 8
a)
Yes
b)
No
19.
Which of the following inequalities would require you to flip the sign when solving?
a)
2+x < 3
b)
-3+x > - 9
c)
-4x ≥ 10
d)
5x ≤ 15
20.
Solve:
-7x > -14
-7x > -14
a)
x<2
b)
x<-2
c)
x>2
d)
x>-2
21.
Solve:
b + 3 < -8
b + 3 < -8
a)
b < -11
b)
b > -11
c)
b < -5
d)
b > -5
22.
Solve:
k + 45 > 26
k + 45 > 26
a)
k > 71
b)
k < 71
c)
k < -19
d)
k > -19
23.
Solve:
-61 + f ≤ 3
-61 + f ≤ 3
a)
f ≤ 64
b)
f ≤ -64
c)
f ≤ -58
d)
f ≤ 58
24.
Solve:
3b + 4 ≤ 7
3b + 4 ≤ 7
a)
b ≥ 1
b)
b ≤ -1
c)
b ≥ -1
d)
b ≤ 1
25.
Solve:
5r + 7 ≥ -33
5r + 7 ≥ -33
a)
r ≤ -8
b)
r ≥ -8
c)
r ≥ -5
d)
r ≤ -5
26.
3(3x+4)<9(x-3)
a)
12<-27
b)
x<-39
c)
x>-39
d)
No Solution
27.
3(3x+4)<9(x-3)
a)
12<-27
b)
x<-39
c)
x>-39
d)
No Solution
28.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
29.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
30.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
31.
Leah earns a salary of $1400 per month, plus a commission of 4% of her sales. If she wants to earn a total of at least $1600 this month, what is the least amount of sales she needs?
a)
s ≤ $5000
b)
s ≥ $5000
c)
s ≥ $200
d)
s ≥ $3000
32.
Solve the following inequality:
3x + 4 > 13
3x + 4 > 13
a)
x > 1
b)
x > 3
c)
x = 3
d)
x < 5
33.
A mile is 4 laps around the track. Melinda ran a certain amount of miles, then she ran 2 extra laps. She ran more than 15 laps. Which equation can determine how many miles she ran?
a)
4 x + 2 < 15
b)
x/4 + 2 > 15
c)
4x + 2 > 15
d)
x/4 + 2 < 15
34.
Joel is a baker. He baked a certain amount of dozen donuts and ate 3 of his donuts. When he was done, he had less than 20 donuts. Which inequality can determine how many dozen donuts he made?
a)
12x − 3 < 20
b)
12x − 3 > 20
c)
x/12 − 3 > 20
d)
x/12 + 3 < 20
35.
Jane had some money. She spent $7 on snacks. Now she has more than $12. Write an inequality to determine how much money she started with?
a)
x − 7 > 12
b)
x + 7 > 12
c)
x − 7 ≥ 12
d)
x + 7 ≥ 12
36.
8(2m + 2)> 4(5 + 2m)
a)
m < 1/2
b)
m > 1/2
c)
m < 2
d)
m > 2
37.
The maximum score on the pilot's test is 95 points.
a)
p < 95
b)
p > 95
c)
p ≥ 95
d)
p ≤ 95
38.
Mona is ordering cups for her school. Company A charges $3.50 for each cup and a one-time starter fee of $14. Company B charges $0.50 for each trophy and a one-time starter fee of $22.
Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?
Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?
a)
3.5x + 14 < 0.5x + 22
b)
3.5x + 14 > 0.5x + 22
c)
3.5 + 14x < 0.5 + 22x
d)
3.5 + 14x > 0.5 + 22x
39.
The Lincolntown Police Department sells used police cruisers to the public if they meet certain criteria. Write an inequality to represent the criteria given below:
No more than 175,000 miles (m = miles)
No more than 175,000 miles (m = miles)
a)
m < 175000
b)
m ≤ 175000
c)
m > 175000
d)
m ≥ 175000
40.
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
41.
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
42.
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
43.
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
44.
Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. Write an inequality to determine the number of months, m, it will take Svetlana's hair to grow so it is at least 7 centimeters long.
a)
4+ 1.5m <= 7
b)
1.5m - 4 <=7
c)
1.5m - 4>= 7
d)
1.5m + 4 >= 7
45.
Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?
a)
25 - 12x ≥ 200
b)
25 + 12x ≥ 200
c)
13x ≥ 200
d)
25 + 12x > 200
Reset
