Math 8 CMA3 Review

Lenwood has $150 to spend on a barbecue. He plans to buy chicken at $2.50 per pound and ribs at $6.50 per pound.

Which equation represents the constraints on his purchase of c pounds of chicken and r pounds of ribs?

• 2.50c + 6.50r = 150

• 2.50c + 6.50r = 150 – 6.50 – 2.50

• (6.50 + 2.50) (c + r) = 150

• (6.50 – 2.50) (c + r) = 150 – 6.50 – 2.50

Jamaurrie is throwing a summer party. He has a 75 dollar spending limit on meat and a 40 dollar spending limit on salads. The cost per pound is shown.

- Chicken: $1.99 per pound - Steak: $4.49 per pound

- Potato Salad: $1.49 per pound - Macaroni Salad: $2.99 per pound

Jamaurrie plans to purchase c pounds of chicken, s pounds of steak, p pounds of potato salad, and m pounds of macaroni salad.

Which equations represent the possible number of pounds he can buy?

• 1.99c + 4.49s = 40 and 1.49p + 2.99m = 75

• 1.99c + 4.49s = 75 and 1.49p + 2.99m = 40

• (1.99 + 4.49) (c + s) = 40 and (1.49 + 2.99) (p + m) = 75

• (1.99 + 4.49) (c + s) = 75 and (1.49 + 2.99) (p + m) = 40

Alex and Joanna started with the same number of football cards in their collections. Alex collected 5 cards per week and now has 45 cards. Joanna collected 3 cards per week and now has 31 cards.

Let x represent the number of cards they began with, and let y represent the number of weeks.

Which system of equations represents this situation?

• x + 5y = 45 x + 3y = 31

• x + y = 31 5x + 3y = 45

• 8y = 76 x + 31 = 45

• y + 31 = 76 8x = 45

Zamarion is responsible for buying a week’s supply of food and hay for the horses and ponies at a local stable. The food and hay for each horse costs twice as much as those supplies for a pony. He needs to feed 20 horses and 7 ponies. His budget is $850.

Which equation would be a part of the system for this situation?

• 850/20 = h + p

• p = 2h

• h = 2p

• 850/7 * 24 = h + p

The equation of a line y = 1/2x + 4 is given.

Which equation intersects the given line at exactly one point?

• 2y = x

• -2y = -x

• 2y = x + 8

• 2y = -x + 8

The system of equations is given. y = x - 3 -5x - 2y = -8 Which graph shows the solution for the system of equations?

• Graph A

• Graph B

• Graph C

A system of linear equations is given. x − y = 5 x + y = −5 Which statement is TRUE about the solution of the system of linear equations?

• The solution is (0, −5) because this ordered pair represents the y-intercepts for both equations.

• The solution is (−5, 0) because this ordered pair represents the x-intercepts for both equations.

• The solution is (0, −5) because this ordered pair represents the point of intersection for both lines in the system of linear equations.

• The solution is (−5, 0) because this ordered pair represents the point of intersection for both lines in the system of linear equations.

The system of equations is graphed incorrectly by a student. The student claims that (0, 2) is a solution to the system of linear equations because this ordered pair satisfies the first equation. 2x + 3y = 6 4x − 2y = 8 Which statement BEST explains the error in the graph and the claim of the student?

• The line 4x − 2y = 8 is graphed incorrectly. A solution for the system of linear equations must be true for both equations, not just one equation.

• The line 2x + 3y = 6 is graphed incorrectly. This system of equations has no solutions when graphed correctly.

• The line 4x − 2y = 8 is graphed incorrectly. This system of equations has no solutions when graphed correctly.

• The line 2x + 3y = 6 is graphed incorrectly. A solution for the system of linear equations must be true for both equations, not just one equation.

Danaiya is printing copies of a colorful poster. The graph shows the milliliters of yellow ink remaining in her printer as a function of the number of copies of the poster she prints.

The equation y = -1/50x + 6 represents the milliliters of blue ink, y, remaining in her printer after printing x copies of the poster.

After approximately how many copies of the poster are printed, will the amount of yellow and blue ink remaining in Danaiya's printer be the same?

• A) 4

• B) 6

• C) 100

• D) 300

A florist charges for flower arrangements based on the number of each type of flower in the arrangement. Different types of flowers have different costs. An arrangement of 12 carnations and 12 roses cost $60. An arrangement of 16 carnations and 8 roses cost $52. The system shown can be used to determine the cost of each carnation, x, and rose, y. { 12x + 12y = 60 { 16x + 8y = 52 Which graph correctly represents the system and correctly labels the point, or points, which represents the solution for how much each type of flower costs?

• Graph A

• Graph B