Enterprise charges to rent compact cars for a fixed amount per day plus a fixed amount for each mile driven. Batman rented a car for 6 days, drove it 550 miles and spent $337 . Superman rented the same car for 3 days, drove for 350 miles and spent $185 . Set up the system. Let "d" represent the fixed charge per day and "m" represent the cost per mile.

6d + 550m = 337 3d + 350m = 185

6d + 550m = 185 3d + 350m = 337

6m + 550d = 337 3m + 350d = 185

6m + 550d = 185 3m + 350d = 337

Write a system of equation to solve the following situation. Two groups of people order food at a restaurant. one group order 4 pizzas and 7 salads for $34.50. The other group orders 8 pizzas and 3 salads for $30.50. Find the cost of each item. Let p = pizza and s = salad.

4p +7s = 34.50 and 8p + 3s = 30.50 A pizza costs $2. 50 and a salad costs $3.50

4p +7s = 30.50 and 8p + 3s = 34.50 A pizza costs $2. 40 and a salad costs $3.40

4p -7s = 34.50 and 8p - 3s = 30.50 A pizza costs $1.50 and a salad costs $4.50

4p +7s = 34.50 and 8p + 3s = 30.50 A pizza costs $3.50 and a salad costs $2.50

Write a system of equations to solve the following situation. The sum of twice a number x and three times a number y is 69. The different between four times number x and twice number y is 18. What are the numbers x and y?

2x + 3y = 69 and 4x - 2y = 18 x = 12 and y = 15

2x + 3y = 69 and 4x - 2y = 18 x = 15 and y = 12

3x + 2y = 69 and 4x - 2y = 18 x = 16 and y = 12

3x - 2y = 69 and 4x + 2y = 18 x = -16 and y = 12

Write the system of equations

y = − x + 3 y=-x+3 y = − x + 3 y = 2 x − 3 y=2x-3 y = 2 x − 3

y = − x − 3 y=-x-3 y = − x − 3 y = 2 x + 3 y=2x+3 y = 2 x + 3

y = x + 3 y=x+3 y = x + 3 y = − 1 2 x − 3 y=-\frac{1}{2}x-3 y = − 2 1 x − 3

y = x − 3 y=x-3 y = x − 3 y = − 1 2 x + 3 y=-\frac{1}{2}x+3 y = − 2 1 x + 3

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

10c + 5d = 16.50 5c + 10d = 14.25

10c + 5d = 14.25 5c + 10d = 16.50

Classify the system: y = − 3 4 x + 8 y=-\frac{3}{4}x+8 y = − 4 3 x + 8 y = 13 4 x − 8 y=\frac{13}{4}x-8 y = 4 1 3 x − 8

Consistent Independent (one solution)

Consistent Dependent (infinitely many solutions)

Math 1 - Quiz #2 - Term 5

Authored by Crisselle Doverte

Mathematics

9th - 12th Grade

CCSS covered

Used 1+ times

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25 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the system of equations represented by the blue and red lines?

(6, 5)

(5, 6)

no solution

(0, 2)

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(6, -4)

(-4, 6)

(-4, -24)

(-4, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(-4, 6)

(6, -4)

(-24,-4)

no solution

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(3, -4)

(2, 4)

no solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(3, 15)

(3, 12)

(3, -3)

no solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(0, 0)

(0, -5)

(-2, -5)

(-5, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the solution to the system of equations?

(3, -2)

(3, -3)

(-3, 2)

(-3, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Math 1 - Quiz #2 - Term 5

What is the solution to the system of equations represented by the blue and red lines?

What is the solution to the system of equations?

The solution (x, y) to a system of equations is the point where they...?

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

How many solutions does this system of equations have?

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