Linear Equations and Inequalities Word Problems

A basketball game was scheduled to last 60 minutes, including the breaks between quarters. Several timeouts were used throughout the game, resulting in the game lasting a total of 72 minutes, including breaks. If each timeout was 90 seconds, how many total timeouts were used during the game?

Tags

CCSS.7.EE.B.4A

A pizza delivery worker purchased a used motor scooter that had been driven 12,100 miles. He drives the motor scooter only on days he is working, during which he drives an average of 50 miles per day. After d days of pizza delivery, the motor scooter has been driven a total of 25,000 miles. Which of the following equations best models this situation?

• 50(12,100+d)=25,000

• 12,100 + d/50 = 25,000

• 12,100d+50=25,000

• 12,100+50d=25,000

Tags

CCSS.HSA.CED.A.3

An elite runner's stride rate is currently 168 strides per minute (the number of steps she takes per minute). She wants to improve her stride rate to 180, and believes that through training, she can increase her stride rate by 2 strides per minute each day, d. Which equation best models the situation?

• 168−2d=180

• 168+2d=180

• 180−120d=168

• 180+120d=168

Rob is crocheting scarves for a craft fair. He will give away the first 2 scarves and will sell the rest for $8 each. His scarves are very popular and people always buy all that he is willing to sell. Rob's goal is to earn at least $75. If n represents the number of scarves which Rob needs to crochet to meet his goal, which of the following inequalities best models the situation described above?

Choose 1 answer:

• 8n−2 ≥ 75

• n ≥ 75−2

• 8(n−2) ≥ 75

• (8−2)n ≥ 75

• 8n - 16 ≥ 75

Tags

CCSS.7.EE.B.4B

A particular company charges advertisers a one-time cost of $500, in addition to $4.50 for every one thousand times an advertisement is shown on the company's webpage. An advertiser wants its ad to appear M thousand times on the webpage, but does not want to spend more than $5,000. Which of the following inequalities best describes the situation?

Choose 1 answer:

• 500+4.50M ≥ 5,000

• 4.50+500M ≤ 5,000

• 500+4.50M ≤ 5,000

• 500+4.50M < 5,000

Tags

CCSS.7.EE.B.4B

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15
• C = 15h + 2
• h = 15C + 2
• C = 2h + 15

Tags

CCSS.HSF-BF.A.1A

Margaret is a waitress at The Seafood Bonanza.  She earns $3 an hour plus 90% of her tips.  Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

• 3h + 0.90d = S
• S = 90d + 3h
• S = 3d + 90h
• S = 3h + 9.0d

Tags

CCSS.6.EE.C.9

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)
• 222.5 = 35 + 0.75m
• 222.5 = 0.75 + 35m
• 222.5 = 0.75(m + 35)

Norb is a waiter in a diner.  He earns $4 per hour plus 95% of his tips.  Which equation can be used to determine his salary, S, if he works t hours and earn d dollars in tips?

• S = 4t + 0.95d
• S = 95t + 4d
• S = 0.4t + 9.5d
• S = 4t + 9.5d

Tags

CCSS.6.EE.C.9

To satisfy local building codes, a rectangular lot must have a perimeter of at least 500 feet before a building can be constructed on it.  If L represents the length (in feet) of the lot and W represents its width (in feet), which inequality represents this situation?

• 2L + 2W ≤ 500
• 2L + 2W < 500
• 2(L + W) ≥ 500
• L + W ≥ 500