Linear Inequality Word Problems

Elliott decides to take his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Elliott could take with him to the movies?

(Be careful here- Elliott has to be removed from the group of friends before you answer!)

Solve the inequality/answer the question.

• x ≥ 5

• x ≤ 6

• x ≥ 7

• x ≤ 7

You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile. What is the most miles you could ride in the taxi?

(Mileage is rounded up if you stop before a complete mile.)

Write the inequality to the problem.

• 0.60x+5 ≥ 14

• 0.60x+5 ≤ 14

• 0.60x+5 > 14

• 0.60x+5 < 14

You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile. What is the most miles you could ride in the taxi? (Mileage is rounded up if you stop before a complete mile.) Solve the inequality/answer the question.

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones? Define the variable.

• let x = Emilia

• let x = the number of cars she needs to wash

• let x = the number of headphones she wants to buy

• let x = the money she already saved

Which point below is NOT part of the solution set?

• (0, -2)

• (1, 1)

• (3, 3)

• (2, 10)

Which point below is NOT part of the solution set?

• (3, 4)

• (0, 4)

• (-2, 6)

• (6, 2)

Is (-2, 4) a solution to this inequality?

• Yes

• No

Is (1, 6) a solution to this inequality?

• Yes

• No

Which of the following inequalities matches the graph?

• y > 2x - 2

• y < 2x - 2

• y ≥ 2x - 2

• y ≤ 2x - 2

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3