Solve Inequalities with One Variable

Jim has $8 to spend on pizza. The slice is $4 and each topping is $0.50. Create an inequality to represent the number of toppings Jim can get if he only buys one slice of pizza.

• 4x + 0.50 ≥ 8

• 0.50x + 4 < 8

• 0.50x +4 ≤ 8

• 4x +0.50 ≤ 8

Your cell phone plan allows you 400 minutes to talk per month. So far this month, you have used 265 minutes and you have 7 days left on this month’s plan. Which inequality could you use to determine how many minutes at most you can use per day so that you don’t go over your monthly plan minutes?

• 7x + 265 < 400

• 7x + 265 ≤ 400

• 7x + 265 > 400

• 7x + 265 ≥ 400

Anita is saving for college and wants to take no fewer than $3000 with her for the fall semester. Her summer job pays $9/hour. She has already saved $720. How many hours will Anita have to work during the rest of the summer to meet her goal? Select the inequality that models the situation if h represents the number of hours Anita will need to work.

Solve the inequality:

2x + 5 > 2x + 8

• x > 3

• x > –3

• Infinite Solutions

• No Solution

Solve the inequality:

4n – 5 < 4(n – 2) + 9

• n < 6

• n < 4

• Infinite Solutions

• No Solution

At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

• 3 + 5.5p < 10

• 20 = 5.5 - 3p

• 5.5 + 3p < 20

• 3p + 5.5 ≤20

Solve for x

x + 8 > 11

• x > 3

• x < 3

• x > 19

• x < 19

Solve for x

4x + 3 ≤ −6

• x ≥ −9

• x ≤ −9

• x ≥ −2.25

• x ≤ −2.25

Solve for x

−2x ≥ 16

• x ≥ −8

• x ≤ −8

• x ≥ −32

• x ≤ −32

Which of the following is true for 4x < 32

• x < 8

• x < 32

• x < 28

• x > 8