Computations and Algebraic Relationships

Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design. Which equation can be used to find y, the total cost to buy x shirts?

• y = 22.5x - 9.5

• y = 9.5x - 22.5

• y = 22.5x + 9.5

• y = 9.5x + 22.5

The greatest weight a moving truck can carry is 1,600 pounds. The truck is loaded with a piano that weighs 400 pounds. Boxes that weigh 50 pounds each will also be loaded into the truck. Which inequality represents all possible values of x, the number of these boxes that can be loaded into the moving truck?

Which situation can be represented by this equation?

• Jeremy is traveling to a location that is 575 miles away. He has already traveled 250 miles. What is x, the number of hours that Jeremy will need to travel at a speed of 65 miles per hours to reach the location?

• Jeremy is traveling to a location that is 575 miles away. He has already traveled 250 miles. What is x, the number of additional miles that Jeremy will need to travel to reach the location?

• Jeremy is reading a book with 575 pages. He has already read 65 pages and will read 250 pages per day. What is x, the number of days that Jeremy will need to read to finish the book?

• Jeremy is reading a book with 575 pages. He has already read 315 pages. What is x, the number of pages that Jeremy has left to read to finish the book?

What is the solution to the equation?

What is the solution set for the inequality?

• g > -7

• g < -7

• g < 7

• g > 7

What is the solution to this equation?

What is the solution set for this inequality?

• x > 7

• x < 7

• x > -3

• x < -3

George started a coin collection. His dad gave him 75 coins. Each month he will add 20 coins to the collection.

Which equation can be used to find y, the total number of coins in George's collection after x months?

• y = 75x + 20

• y = 20x + 75

• y = 75x - 20

• y = 20x - 75

Find the slope of the line.

• 1/2

• -1/2

• 2

• -2

Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar cheese?

• x = 4.25 + y

• x = 4.25y

• y = 4.25 + x

• y = 4.25x