Vocab
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

As a salesperson, Shane is paid 50 per week, plus 8 per sale. This week Shane wants to make AT LEAST 90 dollars. Write the inequality.

50 + 8S ≥  90

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

A taxi charges a flat 1.23 plus an additional 0.82 per mile. Otis has only 6.15 to spend on the ride. How many miles can Otis travel write the inequality.

1.23 + 0.82m ≤  6.15

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

Alison and Curtis each play a game in which they cannot laugh. In the game, a person starts with 200 points and loses 4 points for each laugh. If Curtis finishes the game with 152 points, how many times can Alison laugh and still win or tie?

200 - 4L ≥ 152

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

Alonso needs 350 to save  for a camera. He already has 85 saved and gets an allowance of 10 a week. Alonso wants to know how many weeks, w, until he will have enough money to buy the camera. Write an inequality

85 + 10w ≥ 350

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

John planned to buy one mango and SOME number of apples and he had $20. If an apple cost $4 and a mango cost $3. Make an inequality that models how many apples,a, he can buy 

3 + 4a ≤  20

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