One-Step Adding/Subtracting
Two-Step Inequalities
One-Step Multiplication
One-Step Division
Word Problems
100
Solve 4 + y < -9
y < -13
100
Solve 3x + 10 < 40
x < 10
100
Solve 8x < 40
x < 5
100
Solve d/2 > 7
d > 14
100
Hannah's exercise goal is to walk at least 6.5 miles this week. She has already walked 2.75 miles this week.
Write and solve an inequality to determine the distance (d) Hannah needs to walk to meet or exceed her goal.
2.75 + d >= 6.5
d >= 3.75
Hannah should walk at least 3.75 more miles this week.
200
Solve x - 1.2 < 5.4
x < 6.6
200
Solve 12 - x < 5
Then, graph your solution.
x > 7
**Graph should have an open circle pointing to the larger numbers**
200
Solve 12x > -36
x > -3
200
Solve -6 > x/7
-42 > x or x < -42
200
Gabby paid $17.25 for a sweatshirt that was on sale. The difference between the original price and the sale price was at most $8.50.
Write and solve an inequality to determine the possible price of the sweatshirt (p).
p - 17.25 <= 8.50 or p - 8.50<= 17.25
p<= 25.75
300
Graph the solution to
-6 > n - 8
n < 2
300
The Hiking Club is on a hike up a mountain. They begin at an elevation of 12 feet and ascend at the rate of 3 feet per minute.
Write and solve an inequality to determine how many minutes (m) it will take to go to an elevation of at least 38 feet.
Interpret what your solution means.
12 + 3m >= 38
m>=12
It will take the Hiking Club at least 12 minutes to get to an elevation of 38 feet or higher.
300
Solve -2x < 10
x > -5
300
Solve x/-4 > 3
x < -12
300
Mr. Miller is buying wax to make candles. He wants to make at least 35 candles and needs 6.5 ounces of wax for each candle. Write and solve an inequality to determine the amount of wax he needs to buy (x).
x/6.5 >=35
x >=227.5
Mr. Miller needs at least 227.5 ounces of candle wax.
400
Dylan can spend at most $18 to ride go-karts and play games at the state fair. Suppose the go-karts cost $5.50.
Write and solve an inequality to determine the amount Dylan can spend on games (x), if he rides the go-karts once. Interpret the solution.
5.5+x<= 18
x<= 12.5
Dylan can spend up to $12.50 on games.
400
The Garden Club is planting fruit trees in their school's garden. There is one large tree that needs 5 pounds of fertilizer. The rest are newly planted trees that need 1/2 pound of fertilizer each.
Write and solve an inequality to determine how many new trees the Garden Club can have if they use up to 25 pounds of soil.
5 + 1/2x <= 25
x <= 40
The Garden Club can plant up to 40 new trees.
400
-4.1x > 12.3
x < -3
400
Solve x/-2.25 < -4
x > 9
400
Each of the 12 attendees to a club party receives a $x gift bag and a $3 snack. The total cost must be at most $126.
Write and solve an inequality to find the maximum cost of the gift bags.
12(x + 3) <= 126
x <= 7.50
Each gift bag costs at most $7.50.
500
Caleb owns two types of dogs. The difference in height of his Yorkie and his Great Dane is at least 25 inches. Caleb's Yorkie has a height of 6 1/4 inches.
Write and solve an inequality to determine the possible height of the Great Dane (h). Then, interpret your solution.
h - 6 1/4 >= 25
h >= 31 1/4
The Great Dane is at least 31 1/4 inches tall.
500
The Science Club is researching boiling points. They learn that at high altitudes, water boils at lower temperatures. At sea level, water boils at 212F. With each increase of 500 feet in elevation, the boiling point of water is lowered by about 1F. Which elevations have a temperature below 195 degrees?
Which inequality models this scenario?
a) 212-1/500e < 195
b) 1/500e - 195 < 212
c) 195 - 212e < 1/500
d) 212 - 195e < 1/500
a
500
Ling earns $15 per hour working at the zoo.
Write and solve an inequality to determine the number of hours Ling must work in a week to earn at least $225. Use h for hours.
Then, interpret the solution.
15h >= 225
x >= 15
Ling should work 15 or more hours in a week to earn $225.
500
Thomas wants to make popsicles from a juice mixture. He needs 7.5 ounces of juice for each popsicle and wants to make no more than 12 popsicles. How much juice should he make?
Write and solve an inequality to determine the amount of juice he needs to make. Use the variable x. Then, interpret the solution.
x/7.5 <= 12
x <= 90
Thomas should make up to 90 ounces of juice.
500
When a store had sold 2/5 of the shirts that were on display, they brought out another 30 from the stockroom. The store likes to keep at least 150 shirts on display.
Write an inequality to describe the situation.
3/5x + 30 >= 150