Equations for Real World

Juarez scored 32 points in a basketball game. He scored twice as many baskets worth 3 points than baskets worth 2 points. How many baskets did he score worth 3 points and how many did he score worth 2 points?

• 8 baskets worth 3 points each and 4 baskets worth 2 points each

• 6 baskets worth 3 points each and 7 baskets worth 2 points each

• 10 baskets worth 3 points each and 1 basket worth 2 points

• 4 baskets worth 3 points each and 10 baskets worth 2 points each

Marya plans to participate in a 20 km walk-a-thon. To prepare, she walked 4 km on Monday. She plans to increase her walk by 2 km each week until she reaches 20 km.

Marya’s calculations:

The equation representing Marya’s calculations is . How many weeks will it take Marya to reach her goal of a 20 kilometer walk?

• 8

• 9

• 10

• 12

Jakob buys lunch at school on Mondays, Wednesdays, and Thursdays. He spends $3.50 for each lunch. Which equation can be used to find the number of weeks, w, it will take Jakob to spend $84 on lunch?

• 3.50w=84

• (3x3.50)w=84

• 3w=84

• (3+3.50)w=84

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A grocer sells oranges in bags. Each empty bag weighs 2.5 ounces and each orange weighs 7.2 ounces. Khalil buys a bag of oranges that weighs 60.1 ounces. Which equation can be used to find x, the number of oranges in the bag?

• 7.2 + x = 60.1

• 2.5 x + 7.2 = 60.1

• 60.1 minus x = 2.5 + 7.2

• 2.5 + 7.2 x = 60.1

Rafael, Denise, and Philippe are doing a project together. They decide to base the project on a book that is 540 pages long. Rafael plans to read a certain number of pages. Denise will read 3/4 of the number of pages Rafael reads, and Philippe will read 1/2 of the number of pages that Rafael reads. How many pages will Rafael read?

• 180

• 240

• 300

• 432

Carolyn makes and sells necklaces. The material to make each neckalce costs $3.20. She has 12 necklaces to sell and wants to make a total profit of $54. The following equation describes the situation.

Carolyn found that x = 7.7 and determined that she will make a profit of $7.70 on each necklace . Which error did Carolyn make?

• The solution means that she should charge $7.70 for each necklace.

• The solution means that each necklace costs $7.70 to make.

• The solution to the equation is not x = 7.7.

• Carolyn did not distribute the parentheses when solving.

All of the items in a bicycle shop are on sale for 30% off the regular price. Rene spends $74.90 to buy a bicycle and a helmet (without taxes). If the regular price of the bicycle is $85, which equation can be used to find the regular price of the helmet, h?

• 0.3 (74.90 + h) = 85

• 0.3 (85 + h) = 74.90

• 0.7 (74.90 + h) = 85

• 0.7 (85 + h) = 74.90

Sabrina has a rug with a perimeter of 18 feet. She decides to place a border around the rug so that the new length of the rug is 8 feet and the width is 4 feet. The border is the same width all the way around.

The equation which represents x, the width of the border is . What is the width of the border?

• 3/4 ft

• 1 1/2 ft

• 1 ft

• 3 ft

Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.

Which describes the number of months it will take to pay off the debt? Select three options.

• x + 15 + 35 = 155

• 35 x + 15 = 155

• 35 x = 155 minus 15

• It will take 8 months to pay off the debt.

• It will take 4 months to pay off the debt.

Davie and Horatio are riding their motorbikes on a scenic tour that is 80 miles long. Davie rides at 20 miles per hour and leaves 90 minutes before Horatio. How fast must Horatio ride to finish at the same time as Davie?

• 24 mph

• 24.5 mph

• 32 mph

• 33.3 mph