Translations
One-Step Inequalities
Multi-Step Inequalities
Solve and Graph
Word Problems
100
What is the symbol for more than?
>
100
x + 7 < 8
x < 1
100
3x - 1 ≥ 14
x ≥ 5
100
x > 9
open circle at 9, pointing right
100

Lisa is cooking muffins. The recipe calls for more than 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?

x > 5

200
What is the symbol for "less than"
<
200
b - 9 ≥ -20
b ≥ -11
200
x/2 - 4 < 10
x < 28
200
x ≤ 17
closed circle at 17, pointing left
200

After paying $5.00 for a salad, Taylor has no more than $27.00 left. How much money did she have before buying the salad?

x ≤ 32

300
What is the symbol for "no more than?"
≤
300
4x > 24
x > 6
300
-5x + 3 > -22
x < 5
300
x -12 < -4
x < 8, closed circle at 8, pointing left
300

Max's employer has at most $18.00 to spend on tape measures for his crew. How many can he buy with that amount if each tape measure costs $4.50?

x ≤ 4

400
What is the symbol for "at most"?
≤
400
m/3 ≤ 12
m ≤ 36
400
-6x-3>-15
What is x<2
400
-8x > 32
x < -4, open circle at -4, pointing left
400

A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50. Lin has $300 to spend on renting the hall for a fundraiser.

Write an inequality that represents this situation. (DON'T solve)

22.50h + 200 ≤ 300

500
What is the symbol for "at least"?
≥
500
-2x < 18
x > -9
500
9 < 2+(-x)
What is -7>x
500
1/2x ≥ 4
x ≥ 8, closed circle pointing right
500

A hiker starts at an elevation of -50 feet (where 0 represents sea level). The hiker climbs at a rate of 15 feet per minute. 

Write an inequality that represents the number of minutes after the start of the hike, when the hiker’s elevation was higher than 5 feet above sea level.

x > 11/3

M
e
n
u