Linear Inequalities Worksheets Page 48
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50Read the problem carefully. You are given Pedro’s first 5 test scores and told that
he needs an average of at least 85 after his next test to earn an A for the semester.
a. Write the inequality.
Pedro needs a test average of at least 85.
Words
Let t represent Pedro’s score on the final test.
Variable
___
89 + 74 + 79 + 85 + 88 + t
Equation
≥ 85
6
b. Solve the inequality for t.
89 + 74 + 79 + 85 + 88 + t
___
≥ 85
6
(
)
89 + 74 + 79 + 85 + 88 + t ≥ 85
6
415 + t ≥ 510
t ≥ 95
So, Pedro’s final test score must be greater than or equal to 95 in order for him
to earn an A for the semester.
Exercises
Read each problem. Identify what you need to
4. Rosa earns $200 a month delivering newspapers,
know. Then use the information in the problem
plus an average of $11 per hour babysitting. If her
to solve.
goal is to earn at least $295 this month, how
many hours will she have to babysit?
1. Craig has $20 to order a pizza. The pizza costs
$12.50 plus $0.95 per topping. If there is also a $3
5. To earn money for a new bike, Ethan is selling
deliver fee, how many toppings can Craig order?
some of his baseball cards. He has saved $245. If
the bike costs $1400, and he can sell 154 cards, for
2. To join an archery club, Nina had to pay an
how much money will he need to sell each card
initiation fee of $75, plus $40 per year in
to reach his goal?
membership dues.
a. Write an equation to model the total cost, y, of
belonging to the club for x years.
6. In a certain lacrosse league, there can be no more
than 22 players on each team, and no more than
b. How many years will it take her to spend
10 teams per age group. There are 6 age groups.
more than $400 to belong to the club?
a. Write an inequality to represent this situation.
3. The area of the triangle below is no more than
84 square millimeters. What is the height of the
b. What is the greatest number of players that
can play lacrosse in this league?
triangle?
7. Sarah has $120 to shop for herself and to buy
h mm
some gifts for 6 of her friends. She has purchased
a shirt for herself for $32. What is the maximum
14 mm
that she can spend on each friend?
327
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education