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Systems of Equations

Authored by Brianne Walker

Mathematics

9th - 12th Grade

Used 8+ times

Systems of Equations
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7 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A theater is showing a ballet performance. Tickets are available for three levels in the performance hall. Lower level tickets cost $35, mezzanine tickets cost $25, and upper balcony tickets cost $15. For a certain performance the theater sold 5 times as many lower level tickets as balcony tickets. The theater sold $37,500 in tickets that performance. The money made from mezzanine tickets alone was 4 times the money made from balcony tickets.

x + y + z = 37500

y - 4 x = 0

x - 5 y = 0

35x + 25y + 15z = 37500

x - 5 z = 0

25 y - 60 z = 0

35x + 25y + 15z=37500

y - 4z=0

x - 5y=0

35x + 25y + 15z=37500

55 - y=0

100y - 15z=0

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Carlos wants to rent a car. For the particular car he wants, Gentle Rental charges $185 per week plus 25 cents per mile driven. Rental Giant charges a flat fee of $275 per week. What is the number of miles driven so that renting from Gentle Rental cost Carlos less than renting from Rental Giant?

less than or equal to 360 miles.

less than 360 miles.

less than or equal to 115 miles.

less than 1,840 miles.

3.

MATH RESPONSE QUESTION

3 mins • 1 pt

Phillip is an avid video game player and movie watcher. He has a choice of belonging to a video club with a monthly fee of $12 and a $1 a day rental fee for any movie or game or he can be a nonmember and pay a $2.50 a day rental fee for any movie or game. Which of the following is a reasonable solution for the number of movies or video games Phillip must rent for the cost to be equal between membership and non-membership?

Mathematical Equivalence

ON

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve the following systems of equations

2x + 3y = 246

x + 9y = 36

(3,6)

(21,6)

(-4,21)

All Real Numbers

No Solution

5.

MATH RESPONSE QUESTION

3 mins • 1 pt

The following system of equations is shown below.

2x + 3y = 4

x - y = -3

What is x+y?

Mathematical Equivalence

ON

6.

MATH RESPONSE QUESTION

3 mins • 1 pt

A cheetah is located 100 yards away from an antelope. The cheetah begins running on a straight path toward the antelope at a constant speed of 30 yards per second. At the same time, the antelope begins running away from the cheetah at a constant speed of 25 yards per second. If both animals continue to run on a straight path at the same speeds, how many seconds will it take for the cheetah to catch up to the antelope?

Mathematical Equivalence

ON

7.

MATH RESPONSE QUESTION

3 mins • 1 pt

The school band collected $2,892 for 480 tickets sold to their spring concert. Adult tickets were $8 each and student tickets were $5 each. How many adult tickets were sold?

Mathematical Equivalence

ON

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