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Mathematics
7th -
10thgrade
Ocps Mathematics Practice Test: Modeling with Systems Linear
11 questions
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- 1. Multiple Choice
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
- 2. Fill in the Blank
Ten bagels and four muffins cost 13$. Five Bagels and eight muffins cost 14$. How much does a bagel cost?
- 3. Fill in the Blank
Ten bagels and four muffins cost 13$. Five Bagels and eight muffins cost 14$. How much does a Muffin cost?
- 4. Multiple Choice
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)
- 5. Multiple Choice
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 $3.50 each.
Write a system of inequalities to represent the situation.
5.50x+y>117
3.50y<110
5.50x + 3.50y ≤ 117
x+y>10
x+y>10
5.50x + 3.50y ≤ 117
1.25x+10<117
x+y>8
- 6. Multiple Choice
Which of the following points would be on the graph of the equation y=-4x+6?
(-4,-10)
(1,-10)
(-4,22)
(1,-2)
(22,3)
- 7. Multiple Choice
Select the point that is included in the solution set of the system of inequalities.
y≥x-3
y≥-x-1
(0,-10)
(2,2)
(-4,-2)
(-3,-4)
- 8. Multiple Choice
What is the Y-coordinate in the solution for the system of linear equations below?
{5x-2y=4
3x-4y=-6
y=2
y=-2
y=3
y=-3
- 9. Multiple Choice
Ninja Master Leon purchases ninja equipment. Shurikens cost 20$ each, and invisibility potion costs 18$ each. He has a budget of $150.
Create an inequality to represent the situation. Let s represent the number of shurikens, and let p represent the number of potions.
18s+20p≤150
18s+20p>150
20p+18s<150
- 10. Multiple Choice
Ninja Master Leon purchases ninja equipment. Shurikens cost 20$ 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
- 11. Multiple Choice
Anna is an avid reader. Her generous grandparents gave her money for her birthday, and she decided to spend at most $150.00 on books. Reading Spot is running a special: all paperback books are $8.00 and hardback books are $12.00. Anna wants to purchase at least 12 books. Let x represent the number of hardback books and y represent the number of paperback books. Which of the following systems of inequalities correctly represents the given constraints.
{12x+8y≤150
x+y≥12
where x and y are whole numbers
{12x+8y>150
x+y≥12
where x and y are whole numbers
{12x+8y>150
x+y<12
where x and y are whole numbers
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