Inequality: Word Problems

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. Which inequality can represent the situation?

• 500 + 25x ≥ 200

• 500 - 25x > 200

• 500 - 25x ≥ 200

• 500 - 25x < 200

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?

• x ≥ 12

• x > 12

• x < 12

• x ≤ 12

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, which inequality can be used to describe the situation?

• 1.75 + 0.65x ≥ 10

• 1.75 + 0.65x ≤ 10

• 1.75 + 0.65x < 10

• 1.75x + 0.65 ≤ 10

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?

• No more than 12.7 miles

• Less than 12.7 miles

• At least 12.7 miles

• More than 12.7 miles

Chris wants to order DVD's over the internet. Each DVD costs $15.99 and shipping the entire order costs $9.99. Chris can spend less than $100. Which inequality can be used for the problem?

• 15.99 + 9.99x < 100

• 15.99x + 9.99 ≤ 100

• 15.99x + 9.99 < 100

• 15.99 + 9.99x > 100

Chris wants to order DVDs over the internet. Each DVD costs $15.99 and shipping the entire order costs $9.99. If he can spend less than $100, how many DVDs could he buy?

• At most 5

• At least 5

• More than 5

• Fewer than 5

Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, which inequality can be used to solve the problem?

Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal?

• No less than 12 hours

• More than 12 hours

• At most 12 hours

• Less than 12 hours

Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, which inequality manager should use to find out how many bags of dog food does it need to sell?

• 55 + x ≥ 5225

• 55 x > 5225

• 55 x < 5225

• 55 x ≥ 5225

Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need t

• No more than 950 bags of dog food.

• More than 950 bags of dog food.

• Less than 950 bags of dog food.

• At least 950 bags of dog food.