WorksheetsCompound Inequalities, Simple Inequalities and Word Problems
Total questions: 18
Worksheet time: 5hrs 30mins
Name
Class
Date
1.
Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
2.
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
3.
Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?
a)
5x + 10 ≥ 100
b)
5x - 100 ≥ 10
c)
10x + 5 ≤ 100
d)
5x + 10 > 100
4.
Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?
a)
20x + 120 ≥ 3
b)
x/3 + 20 ≤ 120
c)
3x + 20 ≤ 120
d)
3x + 20 ≥ 120
5.
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
6.
What inequality is graphed?
a)
x > 2 and x < 4
b)
2 ≤ x ≤ 4
c)
x > 2 or x < 4
d)
x ≥ 2 or x ≤ 4
7.
Solve: -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-2 ≤ x ≤ 6
c)
-3 ≤ x ≤ 3
d)
1 ≤ x ≤ 3
8.
Solve and give the final solution set:
-4x + 1 ≤ 21 and 5x + 2 < 22
a)
All real numbers
b)
x ≥ -5 or x < 4
c)
No Solution
d)
x ≥ -5 and x < 4
9.
Solve:
3x + 2 < -7 or -4x + 5 < 1
a)
All real numbers
b)
x < -3 and x > 1
c)
x < -3 or x < 1
d)
x < -3 or x > 1
10.
Which of the following would result in NO SOLUTION?
a)
x < 1 or x > 5
b)
x > 1 or x < 5
c)
x < 1 and x > 5
d)
x > 1 and x < 5
11.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
12.
Solve:
3x + 2 < -7 or -4x + 5 < 1
3x + 2 < -7 or -4x + 5 < 1
a)
x < -3 and x < 1
b)
x < -3 and x > 1
c)
x < -3 or x < 1
d)
x < -3 or x > 1
13.
You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food. You can spend at most $25. Which inequality models this scenario?
a)
2x + 10 ≥ 25
b)
2x + 10 > 20
c)
2x + 10 ≤ 25
d)
2x + 10 < 25
14.
Four times a number, increased by 6 is greater than 22. Which inequality models this scenario?
a)
4x - 6 > 22
b)
4x + 6 < 22
c)
4x + 6 ≥ 22
d)
4x + 6 > 22
15.
Which is a solution of
5(v + 3) - 10v > -10
5(v + 3) - 10v > -10
a)
v < 5
b)
V > 5
c)
V > -5
d)
v < -5
16.
Which is a solution of
-7 (q + 8) ≥ -35
-7 (q + 8) ≥ -35
a)
q ≤ -3
b)
q ≥ -3
c)
q ≥ 237
d)
q ≤ 237
17.
Solve 24 > -3r > -9
a)
-8 < r < 3
b)
-8 > r > 3
c)
r > - 8 and r > 3
d)
r > -8 or r < 3
18.
Every day, a man needs to eat at least 1800 but less than 1900 calories. Write an inequality representing the possible amount of calories you could get.
a)
1800 ≤ c ≤ 1900
b)
1800 ≤ c < 1900
c)
1800 < c ≤ 1900
d)
1800 < c < 1900
100 %
