Elimination
Substitution
Graphing
Word Problems
100

Solve using elimination

2x-y=20

3x+y=10

What is 6,-8?

100

Solve using Substitution

x=4y

2x+3y=22

What is 8,2?

100

Find the quadrent in which the solution to the following system lies:

y=x+4

y=2x+5

What is quadrent 2?

100

The sum of 2 numbers is 104. Their difference is 68. What are the numbers.

What are 86 and 18?

200

Solve with elimination

8x+5y=9

2x-5y=-4

What is 0.5,1?

200

Solve using Substitution

y=x-2

3x-y=16

What is 7,5?

200

Find the solution

y=3x-2

y=-x-2

What is 0,-2?

200

A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?

What is $30?

300

Solve using elimination

2x+3y=6

3x+5y=15

What is -15,12?

300

Solve using Substitution

y=3x-1

7x+2y=37

What is 3,8?

300

What is the solution

y=-3

x=5

What is 5,-3?


300

The number of each type of ticket sold in the following situation: Tickets to a football game cost $5 if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500.

What is 400 advanced ticket (day before), 200 gameday tickets?

400

Solve using elimination

2x+4y=12

-8x+16y=-48

What is infinite solutions?

400

Solve using Substitution

3x-2y=4

y=2x-1

What is -2,-5?

400

Solve the equation by using slope intercept form

y=(1/3)x-3

2x-y=8

What is 3,-2?

400

You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?

What is 35,52?

500

Solve using Elimination

(1/3)x+(1/4)y=10

(1/3)x-(1/2)y=4

What is 24,8?

500

Solve using Substitution

t+u=12

t=(1/3)u

What is 3,9?

500

Solve the equation by using slope intercept form

y-3x=3

y=3x-2

What is no solution?

500

Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost of each of one small box of oranges and one large box of oranges. 

What is small box of oranges: $7, large box of oranges: $13?

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