Represent Systems of Equations by Graphing

SYSTEMS OF EQUATIONS:

GRAPHING
[REVIEW]

Multiple Choice

Warm Up Question #1:

What is the solution to this system of equations?

• (2, -1)

• (1, -2)

• (-1, 2)

• (-2, 1)

Multiple Choice

Warm Up Question #2:

Which graph represents a solution of (4,2)?

GRAPHING LINEAR EQUATIONS

●We always “b”egin with “b” (y-intercept)

●We “m”ove with “m” (slope)

Multiple Choice

MCAS Question!

• Which of the following equations best represents the line?

• y = 2/3 x - 2

• y = 3/2 x - 2

• y = 2/3 x + 3

• y = 3/2 x + 3

Poll

How are we feeling so far?

• I am very lost.

• I need some more practice.

• Doing well.

• Rocking it!

LET’S START GRAPHING SYSTEMS OF

EQUATIONS!

Directions: Use the laminated coordinate plane and your dry
erase marker to graph each system of equations. Once you
find their solution, choose the correct answer on your screen.

You will ONLY get credit for today if you are showing

your work on your mini whiteboards.

Multiple Choice

Graph the following system of equations and find their solution:

1. y = -3x + 4 

y = x

• (1, 0)

• (0, 1)

• (1, 1)

• (-1, 1)

Multiple Choice

Graph the following system of equations and find their solution:

1. y = -x + 2
   y = -x - 1

• Infinite Solutions

• No Solutions

• (0, 0)

• (1, 1)

Multiple Choice

Graph the following system of equations and find their solution:

1. y = -3x -5
   y = 3x + 1

• (1, 2)

• (2, 1)

• (-1, 2)

• (-1, -2)

Multiple Choice

Graph the following system of equations and find their solution:

1. y = ½ x + 1
   y = 2x - 5

• (4, 3)

• (3, 4)

• (4, 4)

• (-3, -4)

LET’S MOVE ON TO SYSTEMS OF INEQUALITIES

We have to remember when our lines are solid/dashed and

where our shading is!

Multiple Choice

Graph this inequality.

y > -3x -5

Which point is a solution?

• (0, 0)

• (-10, -2)

• (6, 2)

• (0, 10)

Multiple Choice

Graph the system of inequalities. Which point is in the solution set?

y > 4x - 3
y ≥ -2x + 3

• (0, 0)

• (4, 1)

• (1, 4)

• (-2, -3)

Multiple Choice

Graph the system of inequalities. Which point is in the solution set?

1. y > -x + 2

y < 2x - 1

• (1, 1)

• (2, 3)

• (4, 4)

• (-1, -1)

Open Ended

MCAS Question!

On your coordinate plane, graph the following inequality:

y ≥ 2x - 1

Write an ordered pair that is a solution to this inequality. Why is this
a solution?

Multiple Choice

Solve for y:

x + y > -2

• y > x - 2

• y > -x - 2

• y > -2x

• y > 2x

Multiple Choice

Solve for y:

x - y < 4 

• y < -x + 4

• y > x + 4

• y < x - 4

• y > x - 4

Multiple Choice

MCAS Question (Continued):

Graph the system of inequalities. Which point represents a solution?

y > -x - 2
y > x - 4

• (0, 0)

• (1, -3)

• (6, -3)

• (-3, -8)