Solving Word Problems Linear Equations

Sixty more than nine times a number is the same as two less than ten times the number. What is the number?

• 31

• 58

• 62

• 72

When five is added to three more than a certain number, the result is 19. What is the number?

• 9

• 10

• 11

• 12

If five is subtracted from three times a certain number, the result is 10. What is the number?

• 5

• 6

• 7

• 8

When 18 is subtracted from six times a certain number, the result is −42. What is the number?

• −4

• −7

• −14

• −24

Jackson went to a fruit market where he found that oranges are $4 per pound and bananas are $2 per pound. He has a total of $28 to spend. The situation can be represented by the equation: 4x + 2y = 28 If Jackson decides to buy 3 pounds of oranges, how many pounds of bananas can he buy with the remaining money?

• 6 pounds

• 8 pounds

Your four-month bill for the gym comes to $221. That includes the cost per month of $50 plus the one-time membership fee. How much is the membership fee?

• $21

• $171

• $4.42

• $15.50

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

• y= 40

• y= 400

• y= 415

• y= 65

• y= 390

Suppose that a bike rents for $4 plus $1.50 per hour. After how many hours will the bike rental cost a total of $10?

• 4 hours

• 3 hours

• 2 hours 

• 1 hour

As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Find the number of small rafts you can rent if you rent 12 large rafts.

• 12

• 10

• 11.2

• 11

A sum of Rs.2700 is to be given in the form of 63 prizes. If the prize is of either Rs.100 or Rs.25, find the number of prizes of each type.

• number of prizes worth Rs. 1oo is 15 and the number of prizes worth Rs. 25 is 48.

• number of prizes worth Rs. 1oo is 10 and the number of prizes worth Rs. 25 is 53.

• number of prizes worth Rs. 1oo is 12 and the number of prizes worth Rs. 25 is 51.

• number of prizes worth Rs. 1oo is 16 and the number of prizes worth Rs. 25 is 47.