Miriam Reed Practice Packet (Inequalities)

Lea 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?

Write the inequality to the problem.

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Lea 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?

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

• x ≥ 48

• x ≤ 48

• x ≥ 24

• x ≤ 24

Sylvia set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Write the inequality to the problem.

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3
• x/3 + 20 ≤ 120
• 3x + 20 ≤ 120
• 3x + 20 ≥ 120

Joaquin is ordering 5 identical sandwiches and a bag of chips. The bag of chips costs $1.25, and the entire order costs $38.75. Let x represent the cost of each sandwich.

• 1.25x + 5 = 38.75

• 1.25x = 5

• 5x + 1.25 = 38.75

• 5x = 1.25

Lacey's gym membership costs $576 per year. Additionally, the gym charges $20 for a 2-week boot camp class. Lacey has $700 per year to spend for a gym membership and boot camp classes. Let x represent the number of boot camp classes.

• 576 = 20x - 700

• 700 = 576 - 20x

• 576 = 20x + 700

• 700 = 576 + 20x

Pizzazz Publications paid $4000 to have some books printed. The printer charges $800 plus $5 per book. Let x represent the number of books.

• 800 + 5x = 4000

• 800x + 5 = 4000

• 4000 + 5x= 800

• 4000 = 800 + 5

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

• x > 3

• x ≤ ⅕

• x ≥ 3

• x ≤ ⅕