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Solve by Substitution
Solve by Elimination
Word Problems
Trivia
100

Use substitution: y = x - 2 and 2x + 2y = 4

(2,0)

100

Use elimination: 5x - 6y = -32 and 2x + 6y = 48

(2, 7)

100

The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

V = 8

B = 22

100

Name the person that wrote the song "Party in the USA"

Miley Cyrus

200

Use substitution: -10y + 10x = 120 and x = 3y - 8

(22, 10)

200
Use elimination: 3x + 6y = -6 and -5x - 2y = -14
What is (4, -3)?
200

Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94. What is the cost each of one apple pie and one lemon meringue pie?

L = 14

A = 4

200

This is the capital of Hawaii.

Honolulu

300

Use substitution 

y = 8x + 7 

y = -4x + 7

(0, 7)


300
Use elimination: 3x + 5y = 10 and 5x + 7y = 10
What is (-5, 5)?
300

Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?

C = 7

S = 4

300

How many red stripes are on the American flag?

7

400

Use substitution

x = 2y - 13 

-3x - 2y = 15

(-7, 3)

400

Use elimination: 3m + 4n = -13 and 5m + 6n = -19

What is (1, -4)?

400

Ming and Carlos are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of gingerbread cookie dough. Ming sold 8 packages of chocolate chip cookie dough and 12 packages of gingerbread cookie dough for a total of $364. Carlos sold 1 package of chocolate chip cookie dough and 4 packages of gingerbread cookie dough for a total of $93. Find the cost each of one package of chocolate chip cookie dough and one package of gingerbread cookie dough.

C = 17

G = 19

400

What colors are the Norwegian flag?

Red, white, and blue

500

Use substitution: x = y + 2 and x - y = 10

No solution

500
Use elimination: 4x - 7y = -15 and 4x - 7y = -15
What is Infinitely Many Solutions?
500

The local amusement park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 16 vans and 8 buses with 752 students. High School B rented and filled 5 vans and 5 buses with 380 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

V = 18

B = 58

500

What do you call an animal that eats meat?

Carnivore