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 , m, the amount of money it takes make wreaths.
m < 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 that represents , p, the number of points scored.
p ≥ 27
Solve an Inequality
8 < 4(d + 3)
-1 < d
A bakery has only 150 pounds of flour to make cookies for the day. It requires 2 pounds of flour for each order of cookies. What is the maximum amount of cookie orders the bakery can make if they can use no more than 150 pounds of flour?
x <= 75
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"
Write an inequality that represents , w , the height of the water level
w > 45
solve for x
8 - 6x - 2 < -12
x > 3
A baker needs more than 120 minutes to let their dough rise.
Write an inequality that represents , m, the number of minutes needed for the dough to rise.
m <= 120
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
There are no more than 35 tables are in the cafeteria
Write an inequality that represents ,t, the number of tables in the cafeteria.
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
The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance. How many tickets does the dance academy need to sell to make a profit of at least $400?
t>=82
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 , b, the number of birds counted.
b ≤ 32
-3(g - 4) + g < -30
g > 21