Grade 8 - Mathematics - Linear Graph and Simultaneous

Label each of the following linear graphs accordingly with the four equations shown below.

• y + 2x = 2

• 
• y = -2

• 
• 3y - 6x = 0

• 
• x = -2

• 

Solve each of the following pairs of simultaneous equations by the elimination method.

• x = 4, y = 12

• x = 5, y = 12

• x = 3, y = 15

• x = 3, y = 12

Solve each of the following pairs of simultaneous equations by the elimination method.

• x = -2, y = -3

• x = 2.5, y = -3.5

• x = -3.5, y = 1.5

• x = 3, y = 1.2

Solve each of the following pairs of simultaneous equations by the substitutions method.

• x = 2, y = 3

• x = 3, y = 2

• x = 3, y = 5

• x = 2, y = 3

Solve each of the following pairs of simultaneous equations by the substitutions method.

• x = 2, y = 4

• x = 2, y = 5

• x = 3, y = 5

• x = 4, y = 5

The following table of value of x and y is for the equation 2x + 3y = 5.

Find the value of a.

Using the graphical method, solve each of the following pairs of simultaneous equations.

• (2,1)

• (3,1)

• (3,2)

• (2,5)

Using the graphical method, solve each of the following pairs of simultaneous equations.

• (2,1)

• (3,1)

• (3,2)

• (2,5)

A farmer can buy 5 chickens and 13 ducks for $177 or 10 chickens and 17 ducks for $273. How much will it cost him to buy 2 chickens and 5 ducks?

Solve each of the following pair of simultaneous equations.

• (8,1)

• (7,1)

• (1,3)

• (3,5)