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One-Step Inequalities
Multi-Step Inequalities
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Word Problems
100
What is the symbol for more than?
>
100
x + 7 < 8
x < 1
100
3x - 1 ≥ 14
x ≥ 5
100

3x - 5 > 13

Open Circle at 6, pointing to the right

100

Tevaree is collecting basketball cards. He already has 18 cards. He wants to have at least 50 cards. If he gets 4 cards each week, write and solve an inequality to find how many weeks he needs.

18 + 4x ≥50

200
What is the symbol for "less than"
<
200
b - 9 ≥ -20
b ≥ -11
200
x/2 - 4 < 10
x < 28
200

x/2 - 3 ≤ 6

closed circle at 18, Pointing to the left

200

Josiah is reading a book with more than 120 pages. He already read 30 pages and reads 10 pages each day. Write and solve an inequality to show how many days it will take him to read more than 120 pages.

30 + 10x > 120

300
What is the symbol for "no more than?"
≤
300
4x > 24
x > 6
300

5x + 3 > 23

x > 4

300

-4x - 10 > 18 

Open circle at -7, pointing to the left

300

Jacob wants to buy a video game that costs less than $90 total. He already has $25 and earns $8 per chore. Write and solve an inequality to show how many chores he can do while keeping the total cost less than $90.

25 + 8x < 90

400
What is the symbol for "at most"?
≤
400
m/3 ≤ 12
m ≤ 36
400

6x-3>15

x > 3

400

x/-5 + 3 > 7

Open Circle at -20, pointing to the left

400

Mrs. Rodgers is selling tickets to the dance that cost $4 each, and decorations cost $18. You have no more than $50 to spend.

4t + 18 ≤ 50

500
What is the symbol for "at least"?
≥
500

2x < 18

x<9

500

9 < 12 + 3x

-1 < x

500

2/4x - 2 ≥ 7

Closed circle at 14, pointing to the right

500

Tyler already has $15 saved, and you save $10 each week. You need more than $65 to buy a new game.

10w + 15 > 65