Equations Problems

You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.

Which of the following equations matches the situation?

• 0.75x + 3y = 50

• y = 0.75x + 3

• y = 3x + 0.75

• 3x + 0.75y = 50

• 50 = -0.75x + y

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

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

One number is 3 more than another. The sum of their squares is 149. Find the numbers.

• 4 and 7; -4 and -7

• 5 and 8; -5 and -8

• 6 and 9; -6 and -9

• 7 and 10, -7 and -10

The sum of a number and its square is 72. Find the number.

• 8 or 9

• 8 or -9

• -8 or 9

• -8 or -9

If you square 5 more than a positive number, the result is 88 more than 12 times the number. Find the number.

• 7

• -7

• 9

• -9

The sum of two numbers is 12 and the sum of their squares is 80. Find the numbers.

• 4 and 8

• 6 and 6

• 2 and 10

• 3 and 9

The length of a rectangle is 4 cm more than its width. The area of the rectangle is 96 sq. cm. Find its dimensions.

• 4 cm by 8 cm

• 6 cm by 10 cm

• 8 cm by 12 cm

• 10 cm by 14 cm

The length of a rectangle is 1 m longer than 3 times its width. The area is 80 m² . Find the dimensions of this rectangle.

• 4m by 13m

• 5m by 16m

• 6m by 19m

• 7m by 22m