Basics
Multi-Step
Word Problems
Compound
100
Write the sentence as an inequality:
A number is less than -7.
What is x<-7
100
Solve:
2x+2<2
x<0
100
You want to have no less than an 85% on your test. Write an inequality to represent the test scores you want.
x>=85
100
Solve:
8 < x + 3 < 10
5 < x < 7
200
Write an inequality to represent the graph.
xleq5
200
Solve:
22+3y<=4
y<=-6
200
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
200
Write an inequality based on the graph.
x < 0 or x > 5
300
Graph
y leq -12
What is
300
Solve:
5x-4x+12<=17
x<=5
300
A bundle of pencils costs $5 at Staples, and we have $20 to spend. Write an inequality that represents x, the number of pencils we can buy.
5x<=20
300
Solve:
-1 + x < 5 and 4 + x >-6
-10 < x < 6
400
Write the sentence as an inequality: Half a number, w, is greater than or equal to 5.
What is x/2>=5
400
Solve:
-4<b/-2-9
-10>b
400
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
400
Solve:
3 - 2x > 17 or 5x - 3 > 17
x < -7 or x > 4
500
Is -4 a solution to the following inequality?
x/2+6<4
x < -4
500
Solve:
2(3x+4)>6x-2
All Solutions
500
Goats live in the subalpine and alpine layers of mountains. The subalpine layer is between 9,000 and 11,000 feet, while the alpine layer is between 11,000 and 29,000 feet. Write an inequality to describe where goats live.
9,000leqxleq29,000
500
Solve:
-1 leq n/-7+3 < 1
28 geq n > 14