Inequalities With a Variable

Jo has 8 friends and makes 2 new friends per week. She doesn't want any more than 16 friends. Create an inequality to determine the number of weeks it will take Jo to reach her desired number of friends.

• 2x + 8 ≤ 16

• 16x +8 < 2

• 8x +2 ≤ 16

• 2x + 16 < 8

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B

Solve the inequality: 6x−(2x−3)≤7+2x

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.

Tags

CCSS.7.EE.B.4B

Solve the inequality:

2x + 5 > 2x + 8

• x > 3

• x > –3

• Infinite Solutions

• No Solution

Solve the inequality:

3(n + 1) ≤ 3n + 4

• n ≤ 1

• n ≤ –1

• 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

Tags

CCSS.7.EE.B.4B

Solve for x

x + 8 > 11

• x > 3

• x < 3

• x > 19

• x < 19

Tags

CCSS.7.EE.B.4B