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Laabri

Unit 5 Exam 1

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Last updated over 4 years ago
18 Nsɛmmisa

We want to compare the costs of holding a party at the two pizza parlors.

Pizza Pal charges $16 to cover the room rental fee and $8 for each pizza.

Roma’s Pizza charges $24 to cover the rental fee and $6 for each pizza.

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Apple and Samsung both make cell phones. Together, the two companies made $32,000. The difference in what they made was $8,000. Apple made more money (as they should). How much did each company make?

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Solve the system using any method. Show your work.

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1.

If x is the number of pizzas ordered, which equation represents the cost for Pizza Pal.

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2.

Write the equation for the Cost at Roma’s.

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3.

After how many pizzas ordered would the cost the same at both pizza parlors?

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4.

Solve the system of equations by graphing. Use desmos and paste a screenshot of your solution

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5.

When would it be best to have the party at Pizza Pal?

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6.

If you and two friends order three pizzas to celebrate your birthday, which pizza parlor would you choose if you wanted to save money? Justify your answer.

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7.

Define your variables.

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8.

Write a system of linear equations to model the situation.

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9.

Solve your system of equations. SHOW YOUR WORK!

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10.

Explain your solution in the context of the problem

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11.

x = 3

x + y = 9

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12.

x = 3y

x + 2y = 35

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13.

y = x + 1

2x + y = 19

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14.

3x - 2y = 3

x + 2y = 17

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15.

x - y = 15

x + y = 9

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16.

-4x + 2y = 10

2x + y = -3

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17.

Graph: y = -2x + 4 and y = ⅓ x - 3

Find the solution.

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18.

Find two numbers whose sum is 32 and their difference is 8.