Word Problems
The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Write an inequality represents the maximum amount of hours the DJ will play at the dance?
125x + 55 <600
Find the solution set of the inequality below:
25 – 4x > –7
x < 8
A teacher is grading papers. It takes the teacher 15 minutes to grade each paper. If the teacher wants to grade papers for a maximum of 240 minutes, how many papers will she be able to grade?
**Write out the inequality first**
15x <= 240
x <= 16
George spent less than $678 to make wreaths for this holiday season. Write an inequality that represents this situation.
S < 678
Solve the inequality
5(p - 2)< -30
p < -4
While on vacation, Amanda rented a bike from Shawna’s Bikes. They charged $2 per hour, plus a $10 initial fee. Amanda paid less than $27. Represent the following word problem as inequality.
2x + 10 < 27
Solve for t.
6t + 4 ≤ –2
t <= -1
Allison’s parents said they would pay no more than $150 for her new clothes. Allison has already spent $58 and still wants to buy 4 pairs of pants. How much can each pair of pants cost?
58 + 4x <= 150
x <= 23
Mr. Chandless scored at least 27 points. Write an inequality
C ≥ 27
Solve an Inequality
8 < 4d + 12
d > -1
A bakery has only 150 pounds of flour to make cookies and cakes for the day. It requires 2 pounds of flour to make an order of cookies and 3 pounds of flour to make a cake. Let x represent the number of cookies and y represent the number of cakes ordered during the day. Write an inequality to represent the situation.
2x + 3y <= 150
Solve:
–4x – 7 ≥ 21
x <= -7
Belinda wants to buy some fish for her aquarium. She wants to spend no more than $27 and the fish cost $4.50 each. How many fish Belinda can afford?
4.50x <= 27
x <= 6
The inequality for "the water level is above 45 inches"
What is w > 45?
solve for x
-12 < -7x + 6 + 4x
x<6
Tracy has $65 and she wants to use some of the money to buy some bracelets. She wants to have at least $12 left. Each bracelet costs $7. Write an inequality to determine how many bracelets she can buy?
65 - 7x >= 12
Tina solved the following inequality for x below.
1 – 3x ≤ 13
–3x ≤ 12
x ≤ 4
What mistake did Tina make solving the inequality?
Tina forgot to flip the inequality sign.
Marva needs at least $130 to buy a new dress. She has already saved $58. She earns $8 an hour tutoring. How many hours she will need to tutor to buy the dress?
58 + 8x ≥ 130
x ≥ 9
Translate the inequality
"no more than 35 tables are in the cafeteria"
What is t ≤ 35?
When you multiply/divide a negative on both sides of the equation, the inequality flips?
True or False
(Ex): -4x < 8
x>-2 ?
True
A bakery has only 150 pounds of flour to make cookies and cakes for the day. It requires 2 pounds of flour to make an order cookie of and 3 pounds of flour to make a cake. Let x represent the number of cookies and y represent the number of cakes ordered during the day. Can the bakery make 35 orders of cookies and 27 orders or cakes? How do you know?
No. doesn't satisfy
2x+3y<=150
Solve for x
-9-5x<-24
x>3
Bill is buying school supplies. He spent less than $26 on a magazine and five composition books. The magazine cost $4. What is the most each composition book could cost?
4 + 5x < 26
x < 4.40
Adriana counted at most 32 birds on Thursday. Write an inequality that represents this situation.
b ≤ 32
What is Ms. Hardy's Favorite color?
Blue