Linear Inequality Story Problems (1.2.5)

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. Write a linear inequality to represent the situation.

• 500 - 25w ≥ 200

• 500 - 25w ≤ 200

• 200 - 25w > 500

• 200 - 25w < 500

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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?

• 1.75m + 0.65 ≥ 10

• 1.75m + 0.65 > 10

• 1.75 + 0.65m ≤ 10

• 1.75 + 0.65m < 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Chris wants to order DVD's online. Each DVD costs $15.99 and shipping the entire order costs $9.99. If he can spend no more than $100, how many DVD's could he buy?

• 15.99d + 9.99 < 100

• 15.99d + 9.99 ≤ 100

• 15.99 + 9.99d < 100

• 15.99 + 9.99d ≤ 100

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?

• 3/4h + 3 > 12

• 3/4h + 3 ≥ 12

• 0.75h - 3 <12

• 0.75h - 3 ≤ 12

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 to sell?

• 5.50b < 5225

• 5.50b ≤ 5225

• 5.50b > 5225

• 5.50b ≥ 5225

Ryan is a wrestler trying to make weight. He currently weighs 200 lbs. If he cuts 2 lbs. per week, how many weeks will it take him to weigh less than 175 lbs.?

• 200 - 2w < 175

• 200 - 2w ≤ 175

• 175 - 2w < 200

• 175 - 2w ≤ 200

Tom is deciding whether or not he should become a member gym to use their basketball courts. The membership cost is $135. Members pay $2 to rent out the basketball courts. Non-members can rent the court also, but they have to pay $11 each time. how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member?

• 135 + 2c > 11

• 135 + 2c < 11

• 135 + 2c > 11c

• 135 + 2c < 11c

Which of the following phrases DOES NOT imply that we should use a < symbol?

• No more than

• Less than

• At least

• Or less

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Which of the following DOES NOT imply we should use a > symbol?

• More than

• At least

• At minimum

• At maximum

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

If the question says that we can have at most 15 people in the elevator, which option could end our equation?

• > 15

• < 15

• ≥ 15

• ≤ 15