EQUATIONS
LINEAR EQUATIONS
Find the solution
Solve by graphing
Vocabulary
100

Spades

Solve: x+12=7

x= -5

100

Spades

What is the slope in this equation:

y = -5/2x + 2

-5/2

100

Hearts *

The solution to

y = -3x+4

y = 3x+2

(1,1)

100

Clubs *

Graph the following system of linear equations to find the solution to the system:

y = x + 3

y = 2x - 2

(5,8) (one solution)

100

Diamonds

This vocabulary term refers to the steepness of a line

slope

200

Hearts

Solve: -9+x=12

x=21

200

Diamonds

What is the y intercept in this equation:

y = -2x + 3

3

200

Clubs

The solution to

x − y = 3

7x − y = −3

(-1,-4)

200

Diamonds *

Graph the following system of linear equations to find the solution to the system:

y = 1/2x - 1/4

y = 10x 

(0, -0.25) (one solution)

200

Spades

This vocabulary term refers to where a line crosses the y-axis

y intercept

300

Diamonds

Solve: 40=  -8x

x= -5

300

Clubs

Find The Slope: (4,-1),(-2,-2)

0

300

Diamonds *

The solution to:

 −7x + 2y = 18

6x + 6y = 0

(-2,2)

300

Spades

Graph the following system of linear equations to find the solution to the system:

y = 5 - 3x

y = 5 - 6/2x

Same line, many solutions

300

Hearts

This term refers to an equation whose graph makes a line

linear equation

400

Diamonds

Solve: 3k-1 = 7k+2

k = -3/4

400

Hearts

Find The Slope: (-7,0) and (-8,-10)

 10

400

Spades

The solution to

y = −5

5x + 4y = −20

(0,-5)

400

Hearts

Graph the following system of linear equations to find the solution to the system:

y = 3x + 5

y = 3x + 17 

No Solution

400

Clubs

This vocabulary term refers to a common coordinate that is shared by two linear equations. This coordinate represents where the two linear equations intersect

Solution

500

Clubs *

Solve: -8(x-2) = 12(x+1)

k= 1/5

500

Clubs

Find The Slope: (10,4) and (4,15)

-11/-6

500

Diamonds

The solution to:

 − 5/7 − 11/7 x = −y 

2y = 7 + 5x

(−3, −4)

500

Hearts

Graph the following system of linear equations to find the solution to the system:

y = -1x + 4

y = 2x + 13 

(-3,7) (one solution)

500

Spades

This vocabulary term refers to two or more equations that represent constraints for the same situation

Systems of linear equations