Inequality word problem practice

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 6x + 8 ≥ 42

• 8x + 6 ≤ 42

• 6x + 8 > 42

• 8x + 6 < 42

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Write an inequality:
Twenty-two more than four times a number is less than 82.

• 22 + 4n ≤ 82

• 22 + 4n > 82

• 82 + 22n ≥ 4

• 22 + 4n < 82

A student must be at least 15 years old to obtain a driver’s permit.

• x > 15

• x < 15 

• x ≤ 15

• x ≥ 15

Which of the following inequalities would require you to flip the sign when solving?

• 2x < 3

• 3x > - 9

• -4x ≥ 10

• 5x ≤ 15

Addie saved more than $36. Which inequality represents the amount that she saved? 

• s > 36

• s < 36

• s ≤ 36

• s ≥ 36

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.

• 3.50 + 1.75t > 20

• 1.75 + 3.50t ≤ 20

• 3.50 + 1.75t ≥ 20

• 1.75t + 3.50 ≤ 20

Which situation can be represented by the equation
56 = 2x – 10?

• Sammy’s age is 10 more than twice Ted’s age. Sammy is 56 years old. How old is Ted?

• Sammy’s age is 10 decreased by twice Ted’s age. Ted is 56 years old. How old is Sammy?

• Ted’s age is twice Sammy’s age decreased by 10 years. Ted is 56 years old. How old is Sammy?

• Ted’s age is 10 less than twice Sammy’s age. Sammy is 56 years old. How old is Ted?

-7 + 10z > -27

• z < -2

• z > -34

• 2 > z

• z > -2

Solve:
6x+10>5x-12

• x>2

• x<2

• x<-22

• x>-22