Writing & Solving Equations in the real world

The Carter family spends a total of $2,700 for a ski vacation in Colorado. After spending $275 per day, they have $1000 remaining. About how many days, n, has the Carter family already been on vacation?

• 275n - 1,000 = 2,700

• 275 + 1,000n = 2,700

• 275n + 1,000 = 2,700

• 1,000n - 275 = 2,700

A plumber charges $55 for a service call plus $35 per hour. If the plumber's bill was $160, how many hours was he there?

• 2 hours

• 3 hours

• 4 hours

• 5 hours

Which situation is best represented by the equation?

60x + 2,000 = 10,000

• An airplane begins at an altitude of zero feet and climbs 60 ft. per second until it reaches an altitude of 12,000 feet. How many seconds did the airplane climb?

• An airplane begins at an altitude of 60 feet and climbs 60 ft. and climbs to an altitude of 8,000 feet. How many feet does the airplane need to climb to reach 10,000 feet?

• An airplane begins at an altitude of 2,000 feet and climbs 60 ft. per second and climbs to an altitude of 10,000 feet. How many seconds did the airplane climb?

• An airplane begins at an altitude of 60 feet and climbs 2,000 feet per second to an altitude of 10,000 feet. How many seconds did the airplane climb?

A waiter earns $128 for 6 hours of work. The total included $86 in tips. How much does the waiter earn each hour?

• $6 per hour

• $6.50 per hour

• $7 per hour

• $8 per hour

Braden has 3 soccer balls and 2 basketballs that weigh a total of 5.44 pounds. Each basketball weighs 1.37 pounds. Which equation and solution can be used to determine s, the weight of each soccer ball?

• 3s + 2.74 = 5.44: s = 0.9

• 3s + 1.37 = 5.44; s = 1.35

• 2s + 3 = 5.44; s = 1.22

• 2s + 2.74 = 5.44; s = 1.35

Three sisters each purchase a dress of equal value. One of the sisters purchases a purse for $26.00. If the grand total was $249.50, how much did each dress cost?

• $68.75

• $57.17

• $91.83

• $74.50

Cooper's dog weighs 1.5 pounds less than double the weight of Easton's dog. Cooper's dog weighs 15 pounds. Which equation and solution can be used to find w, the weight of Easton's dog?

• 15 = 2w + 1.5; w = 6.75

• 15 = 2w - 1.5; w = 8.25

• w - 15 = 1.5; w = -13.5

• w + 15 = 1.5; w = 16.5

In one year, Zaid read 18 books. This was four fewer than twice the number of books that Abraham read. Which equation and solution can be used to find how many books Abraham read?

• 18 = 2a - 4; 11 books

• 18 = 2a + 4; 7 books

• 18 = 4a - 2; 5 books

• 18 = 4a + 2; 4 books

Payton is saving to buy a ring that costs $169. This is $48 more than four times what she saved last month. Which equation and solution can be used to find out how much she saved last month?

• 4x - 48 = 169; $54.50

• 4x + 48 = 169; $30.25

• 4x - 169 = 48; $54.50

• 4x + 169 = 48; $30.25

Mr. Torres rents a car for one day. The charge is $36 plus $0.18 per mile. Mr. Torres has a budget of $60. Which equation and solution can be used to find how many miles he can drive?

• 36 - .18 = 60; 1.67 miles

• 36x + .18 = 60; 1.66 miles

• .18x - 36 = 60; 533.33 miles

• 36 + .18x = 60; 133.33 miles