One-Variable Inequalities

Inequality Phrases

100

"x is a maximum of 32."

Write an inequality statement.

x ≤ 32

200

Jada watches at least 3 movies every week.

Write an inequality statement.

x ≥ 3

300

The sum of twice a number and 5 is at most 15.

Write an inequality statement.

2x + 5 ≤ 15

400

Thadius sets out 2 plates for each of his dinner guests, plus 4 extra plates for serving. He needs at least 20 plates total for dinner, since he's unsure how many people will be there.

Write an inequality statement to represent this. Then solve.

2p + 4 ≥ 20

Solution: p ≥ 8

500

Your friend's birthday is coming up!

You have a budget of $50 total.

You want to buy your friend at least 4 gifts.

1) Write an inequality showing how much money you can spend and 

2) Write an inequality showing how many gifts you can give your friend.

1) b ≤ 50

2) g ≥ 4

One-Variable Graphing

100

Graph x < 10.

Host will check individual responses.

200

Graph x ≥ -2. 

Host will check individual responses.

300

Solve and graph the following inequality:

x + 2 > 0

Solution: x > -2

Host will check graphs.

400

Solve and graph the following inequality:

-5x ≥ 15

Solution: x ≤ -3

Host will check graphs.

500

Solve and graph the following inequality:

(2/3)x > -4

x > -6

Host will check graphs.

Solving One-Step

100

Solve:

x - 5 ≤ -5

x ≤ 0

200

x + 7 > -8

x > -15

300

-16 ≥ -9 + x

-7 ≥ x

or x ≤ -7 

400

Solve:

x/-10 < -3

x > 30

500

Solve and graph:

-2(x - 3) > -4

x < 5

Solving Two-Step

100

Solve:

2x + 1 > 9

x > 4

200

Solve:

x/3 - 5 < 1

x < 18

300

Solve:

-6x + 6 ≤ - 24

x ≥ 5

400

Solve:

8x - 10 ≥ -50

x ≥ -5

500

Solve:

4x + 3 > 2x + 11

x > 4