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Practical Inequalities Quiz

Total questions: 8

Worksheet time: 27mins

Name
Class
Date
1.
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
2.

Nasir bought a piece of wood with a length less than 5 feet. The variable w represents the length. The inequality describes the length of the piece of wood. Which number(s) could be a length of the piece of wood?

a)

4.75

b)

5

c)

10

d)

2

3.
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?
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
4.
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
5.
Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)
a)
10.25h < 550; less than 54 hours
b)
10.25h > 550; greater than 54 hours
c)
10.25h ≤ 550; at most 54 hours
d)
10.25h ≥ 550; at least 54 hours
6.
A parking garage charges $4.50 for each hour you park.  You have $18 in your pocket.  How many hours can you park?
a)
x > 4
b)
x < 4
c)
x ≤ 4
d)
x ≥ 4
7.

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. SOLVE for minimum number of hours Joan will need to babysit?

a)

x ≥ 18

b)

x ≥ 22

c)

x ≤ 9.5

d)

x > 18

8.

What inequality symbol goes with is at least?

a)

<

b)

>

c)

≤

d)

≥