Ocps Mathematics Practice Test: Modeling with Systems Linear

Select the system that has the same solution as

{-2x+2y=-5

5x-6y=8

• {3x-4y=3

  -5x-6y=8

• {6x+6y=15

  5x-6y=8

• {3x-4y=3

  15x-18y=24

• {-2x+2y=-5

  10x-12y=8

Ten bagels and four muffins cost 13$. Five Bagels and eight muffins cost 14$. How much does a bagel cost?

Ten bagels and four muffins cost 13$. Five Bagels and eight muffins cost 14$. How much does a Muffin cost?

Fabiola is reviewing for the Algebra 1 End-of-Course exam. She made this graph representing a system of inequalities.

Select the ordered pairs below that represent solutions to the system of inequalities.

• (-6,3)

• (-6,6)

• (-5,0)

• (-4,2)

• (-4,0)

Latisha wants to buy pumpkin and autumn squash for a fall display. She has a budget of no more than $117 but wants to buy more than 10 vegetables for the decorations. The pumpkins are $5.50 each and the autumn squash are $3.50 each.

Write a system of inequalities to represent the situation.

• 5.50x+y>117

  3.50y<110

• 5.50x + 3.50y ≤ 117

  x+y>10

• x+y>10

  5.50x + 3.50y ≤ 117

• 1.25x+10<117

  x+y>8

Which of the following points would be on the graph of the equation y=-4x+6?

• (-4,-10)

• (1,-10)

• (-4,22)

• (1,-2)

• (22,3)

Select the point that is included in the solution set of the system of inequalities.

y≥x-3

y≥-x-1

• (0,-10)

• (2,2)

• (-4,-2)

• (-3,-4)

What is the Y-coordinate in the solution for the system of linear equations below?

{5x-2y=4

3x-4y=-6

• y=2

• y=-2

• y=3

• y=-3

Ninja Master Leon purchases ninja equipment. Shurikens cost 20$ each, and invisibility potion costs 18$ each. He has a budget of $150.

Create an inequality to represent the situation. Let s represent the number of shurikens, and let p represent the number of potions.

• 18s+20p≤150

• 18s+20p>150

• 20p+18s<150

Ninja Master Leon purchases ninja equipment. Shurikens cost 20$ each, and invisibility potion costs 18$ each. He has a budget of $150. Given the Masters Budget which of the three options is a viable option for the equipment he can purchase.

• 4 shurikens and 6 potions

• 5 shurikens and 2 potions

• 2 shurikens and 7 potions