JeopardySolve

Systems 1Solve

Systems 2

Special Types of Systems

Systems of Inequalities

Extensions

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200 200 200 200 200

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400 400 400 400 400

500 500 500 500 500

100

Solve the linear system by graphing:

6x – 3y = 36

5x = 3y + 30

200One day, you are rollerblading on a trail while it is windy. You travel along the trail, turn around and come back to your starting point. On your way out on the trail, you are

rollerblading against the wind. On your return trip, which is the same distance, you are rollerblading with the wind. You can only travel 3 miles an hour against the wind, which is blowing at a constant speed. You travel 8 miles an hour

with the wind. Write and solve a system of equations to find the average speed when there is no wind and the speed of

the wind.

300

A drummer is stocking up on drum sticks and brushes. The wood sticks

that he buys are $10.50 a pair and the brushes are $24 a pair. He ends up spending $90 on sticks and brushes and buys two times as many pairs of sticks as brushes. How many pairs of

sticks and brushes did he buy?

400You bought 15 one-gallon bottles of apple juice and orange

juice for a school dance. The apple juice was on sale for $1.50 per gallon bottle. The orange juice was $2 per

gallon bottle. You spent $26. Write a system of equation and then graph it. How many bottles of each type of juice

did you buy?

500The area of the room shown is 224 square feet. The perimeter of the room is 64 feet

Find x and y.

100

Solve the linear system:

y – 3 = –2x

2x + 3y = 13

200A fishing barge leaves from a dock and moves upstream (against the current) at a rate of 3.8

miles per hour until it reaches its destination. After the people on the barge are done fishing, the

barge moves the same distance downstream (with the current) at a rate of 8 miles per hour until it returns to the dock. The speed of the current

remains constant. Write and solve a system of equations to find the average speed of the barge in

still water and the speed of the current.

300You will be making hanging flower baskets.

The plants you have picked out are blooming annuals and non-blooming

annuals. The blooming annuals cost $3.20 each and the non-blooming annuals cost

$1.50 each. You bought a total of 24 plants for $49.60. Write a linear system of

equations that you can use to find how many of each type of plant you bought.

400A total of $45,000 is invested into two funds

paying 5.5% and 6.5% annual interest. The combined annual interest is $2725. How much of the $45,000 is invested in

each type of fund? Write and solve a system of equations.

500A rectangular hole 3 centimeters wide and x centimeters

long is cut in a rectangular sheet of metal that is 4 centimeters wide and y centimeters long. The length of

the hole is 1 centimeter less than the length of the metal sheet. After the hole is cut, the area of the

remaining metal sheet is 20 square centimeters. Find the length of the hole and the length of the metal

sheet.

100Without solving the linear system, tell

whether the linear system has one solution, no solution, or infinitely many solutions.

4y =12x –1

–12x + 3y = –1

200Without solving the linear system, tell whether the linear system has one solution, no solution,

or infinitely many solutions.

–2x + 3y = 4

3x – 2y = 5

300 Without solving the linear system, tell

whether the linear system has one solution, no solution, or infinitely many

solutions.

5y –4x = 3

10y = 8x + 6

400Without solving the linear system, tell whether the linear system has one solution, no solution,

or infinitely many solutions.

3y + 5x = 1

–5x –3y = 1

500Without solving the linear system, tell

whether the linear system has one solution, no solution, or infinitely many solutions.

–3x + 4y = 24

4x + 3y = 2

100

Graph the system of inequalities.

x ≥ 0y ≥ 02x + y < 3

200

Graph the system of inequalities.

x > 4x < 8y ≥ 2x + 1

300 Write a system of inequalities for the

shaded region.

400

Write a system of inequalities for the shaded region.

500The tickets for a school play cost $8 for adults and $5 for students. The auditorium in which the play is

being held can hold at most 525 people. The organizers of the school play must make at least $3000 to cover the costs of the set construction,

costumes, and programs.a. Write a system of linear inequalities for the

number of each type of ticket sold.b. Graph the system of inequalities.

c. If the organizers sell out and sell twice as many student tickets as adult tickets, can they reach

their goal?

100

Solve the following system using Cramer’s Rule.

9x – 4y = –55

3x = –4y – 21

200

Write a system of inequalities formed

by the vertices:(2, 2), (-2, 4) and (-1, -3)

300

Solve the following system using Cramer’s Rule.

x – y = 0

2x + 4y = 18

400

Write a system of inequalities formed

by the vertices:(-1, 1), (2, 2), (3, -2)

and (-4, -3)

500

Solve the following system using Cramer’s Rule.

y = –2x + 4

5y – 2x = –16