Graphing
Elimination
Substitution
Word Problems
100

Solve by Graphing

y=-2x-2

y = (-2/3)x + 2

What is (-3,4)

100

Solve the system by Elimination

−5x + 10y = −10

5x − 4y = 4

What is (0,-1)

100

Solve by substitution

x − 3y = 10

8x − 3y = −4

What is (-2, -4)

100

Wilbur and Ndiba each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Wilbur spent $66 on 2 rose bushes and 8 geraniums. Ndiba spent $108 on 2 rose bushes and 14 geraniums. Find the cost of one rose bush and the cost of one geranium.

What is rose bush $5, geranium $7.

200

Solve by graphing

y=(1/4)x -2

y = -x+3

What is (4,-1)

200

Solve this by Elimination


−x + 4y = −25

   x + y = −15

What is (-7, -8)

200

Solve by substitution:

−5x + 4y = −3

−x + y = 1

What is (7,8)

200

The senior classes at High School A and High School B planned separate trips to New York City.The senior class at High School A rented and filled 6 vans and 1 bus with 98 students. High School B rented and filled 6 vans and 2 buses with 136 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.

What is    Van:10, Bus :38

300

Solve by graphing

y=(1/2)x + 3

y = (-1/2)x - 1

What is (-4,1)

300

Solve by Elimination

6x - 8y = -16

12x - 9y = -18

What is (0,2)

300

Solve by substitution

4x - 7y = 11

y = -3x + 2

What is (1, -1)

300

The school that Adam goes to is selling tickets to a spring musical.  On the first day of ticket sales the school sold 10 adult tickets and 12 student tickets for a total of $202.  The school took in $206 on the second day by selling 14 adult tickets and 4 student tickets.  What is the price each of one adult ticket and one student ticket?

What is adult ticket :$13, student ticket :$6

400

Solve by graphing:

x - y = -4

2x +y=1

What is (-1,3)

400

Solve by elimination

-3x - y = 7

-9x - 3y = 21

Infinite Number of Solutions

400

Solve by substitution:

3x + 3y = -12

y = -3x - 4

What is (0,-4)

400

Chelsea and Amanda are selling cheesecakes for a school fundraiser.  Customers can buy pecan cheesecakes and chocolate marble cheesecakes.  Chelsea sold 3 pecan cheesecakes and 6 chocolate marble cheesecakes for a total of $129.  Amanda sold 6 pecan cheesecakes and 11 chocolate marble cheesecakes for a total of $242.  What is the cost each of one pecan cheesecake and one chocolate marble cheesecake?

pecan cheesecake $11, Chocolate Marble Cheesecake $16.  

500

Solve by graphing:

x + 2y = 4

7x + 4y = -12

 

 What is (-4,4)

500

-2x - 2y = 14

-5x + 10y = -25

What is (-3,-4)

500

Solve by substitution

18x + 3y = -39

y = -6x - 13

What is Infinite Number of Solutions

500

Matt and Jane each improved their yards by planting grass sod and ivy.  They bought their supplies from the same store.  Matt spent $70 on 2 ft² of grass sod and 6 pots of ivy.  Jane spent$74 on 4 ft² of grass sod and 6 pots of ivy.  Find the cost of one ft² of grass sod and the cost of one pot of ivy.

What is :

Ft2 of grass sod: $2.  Pot of Ivy:  $11

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