Section 2.1
Section 2.2
Section 2.3
Word Problems
Wild Card
100
Write an inequality that represents this graph.
x < -1
100
Write the sentence as an inequality:
The sum of a number y and 2 is less than 4.
y + 2 < 4
100
Evaluate the following inequality and determine if x is a solution:
-2x < 12, x = -4
Yes, because 8 < 12
100
The tallest person who has ever lived was 8'11" tall, or a whopping 107 inches! Write an inequality that expresses the heights of every person that has ever lived (including this person).
x ≤ 107
100
Find the error! Why is 8 not a solution?
In the image, the student claimed that -1 < -4. This is false.
200
Evaluate the expression 4x < 6 for x = 2.
Is this value of x a valid solution to the inequality?
No, because 8 < 6 is incorrect.
200
Solve the following inequality:
52 + x > 100
x > 48
200
Solve the inequality:
-2x < 8
x > -4
200
The reason why highway speed limits are 70 miles per hour is because this was the maximum speed someone can go before taking longer than three seconds to come to a complete stop. Write an inequality for the speed, x, that a driver can go to safely stop in three seconds.
x ≤ 70
200
Which is better, dogs or cats?
It's obviously cats, but you can have these points if you said dogs anyways.
300
Write an inequality to express the above graph
x ≥ -2
300
Write the sentence as an inequality:
The difference of a number n and 9 is at most 4.
n - 9 ≤ 4.
300
Solve the inequality:
-¼ x ≥ -1
x ≤ 4
300
The maximum volume V of a Home Depot bucket is about 1155 cubic inches. While making concrete, Emma adds 200 cubic inches of water. Write an inequality to show how many more cubic inches of material can still be added to the bucket.
200 + x ≤ 1155
300
If the area of this shape is greater than 12 inches, write an inequality for x.
x ≥ 6
400
Evaluate the expression: 5x ≤ 65, for x = 11.
Is this value of x a valid solution to the inequality?
Yes, because 55 ≤ 65.
400
Solve the following inequality:
5x - 4x - 15 < 2
x < 17
400
Solve and graph the following inequality:
-3x ≤ 6
x ≥ 2
400
A bundle of pencils costs $5 at Staples, and we have $20 to spend. Write and solve an inequality that represents x, the number of pencils we can buy.
5x ≤ 20
x ≤ 4
400
Find and describe the error.
The student forgot to flip their inequality sign, since they divided by a negative!
500
You and 7 other friends are in an elevator, where this sign is shown. Write an inequality for p, the number of people who can still fit on the elevator.
p ≤ 13.
500
Solve and graph the following inequality:
x - 5 ≤ 11
x ≤ 16
500
Solve and graph the following inequality:
¼x < -1
x < -4
500
A failing stock broker is losing around 3 million dollars with each deal made. If the company only has 111 million dollars to lose, write and solve an inequality for x, the number of deals made before they're broke.
-3x ≤ 111
x ≥ 37
500
Write and solve an inequality to represent the score you need on jump 2 to beat your competitor's score.
x + 119.5 > 236.9
x > 117.4