Solving the systems

Solving a System of Linear Equations

100

Consider the system: {3𝑥 + 2𝑦 = 7}. Determine if each ordered pair is a solution of the system.          𝑥 − 4𝑦 = -9

a) (-1, -2)                             b) (2, 3)

Neither ordered pair (-1, -2) nor (2, 3) is a solution to the given system of equations.

200

Consider the system: { 2𝑥 − 3𝑦 = −4;  2𝑥 + 𝑦 = 4} . Determine if each ordered pair is a solution of the system. 

a) (1 , 2)                            b) (7 , 6)

a) Ordered pair (1, 2) is a solution of the system. 

b) Ordered pair (7, 6) is not a solution of the system.  

300

3⁴ . 3³

3⁷

400

4²⁵/4¹⁷

4⁸

500

A school carnival sold a total of 150 tickets for their funfair. Adult tickets cost $5 each, and child tickets cost $2 each. The total revenue from ticket sales was $540. How many adult and child tickets were sold?

The number of adult tickets sold (x) is 80, and the number of child tickets sold (y) is 70.

Solve the systems of equations by substitution

100

3𝑥 + 2𝑦 = −1 

𝑥 − 𝑦 = 3

The solution for the system is x=1 and y=−2.

200

4𝑥 − 3𝑦 = 10

𝑦 = 2𝑥 – 6

x= 4

y= 2

300

𝑥 + 5𝑦 = 18

3𝑥 - 𝑦 = 6

x= 3

y= 3

400

𝑥 + 2𝑦 = 7

𝑥 - 3𝑦 = 2

x= 5

y= 1

500

4𝑎 + 5𝑏 = 35

2𝑎 - 𝑏 = 6

a= 65/14

b= 23/7

Solve the systems of equations by elimination

100

𝑥 + 𝑦 = 5 

𝑥 − 𝑦 = 9

The solution for the system of equations is x=7 and y=−2.

200

5𝑚 + 3𝑛 = 24

2𝑚 + 4𝑛 = 18

m= 3

n= 3

300

4𝑥 + 3𝑦 = 10

4𝑥 - 2𝑦 = 5

x= 7/4

y= 1

400

3𝑥 + 4𝑦 = 20

3𝑥 - 𝑦 = 5

x= 8/3

y= 3

500

2𝑝 + 5𝑞 = -21

3𝑝 - 𝑞 = 11

x =2

y= -5

Revision

100

A clothing store held a sale for one day. A t-shirt that originally cost $129.99 was sold for $90. How much did the customer saved?

39.99$

200

Find the x and y intercepts of 3x - 2y=12

x= 4 and y=6

300

𝟓𝒙³ − 𝟐𝒙 𝑤ℎ𝑒𝑛 𝒙 = −3

x= -129

400

A square table has area of 49 square cm. Find the perimeter of this table.

28cm

500

A square tile has an area of 64 square centimeters. Find the length of one side of the tile.

8cm

Trivia Bonus

100

What does “www” stand for in a website browser?

World Wide Web

200

Which country do cities of Perth, Adelaide & Brisbane belong to?

Australia

300

What was the first feature-length animated movie ever released? (Hint: It was a Disney Movie)

Snow White and the Seven Dwarfs

400

What is the most consumed manufactured drink in the world?

Tea

500

How long do elephant pregnancies last?

22 months