Lesson 7 & 8 - Ordered Pairs and Systems of Linear Equations

Chapter 0 - Preparing for Geometry

Lesson 7 - Ordered Pairs

Lesson 8 - Systems of Linear Equations

Objective: Students will be able to use algebra to solve linear

inequalities.

Vocabulary

●Ordered pair -

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●X-coordinate -

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●Y-coordinate -

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●Quadrant -

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●Origin -

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●System of Equations -

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●Substitution -

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●Elimination -

Ex. 1 ~ Writing Ordered Pairs

Fill in the Blanks

Ex. 2 ~ Graphing Ordered Pairs

Graphing

Plot the points.

a. (4, 2)

b. (-2, 4)

c. (-1, 0)

Labelling

Label the quadrant where each point is located

Drag labels to their correct position on the image

(-2, 4) Quadrant II

(-1, 0) No quadrant - lies on the x-axis

(4, 2) Quadrant I

Ex. 3 ~ Graphing Multiple Ordered Pairs

Graphing

Graph a polygon with vertices P(-1, 1), Q(3, 1), R(1, 4), S(-3, 4)

Ex. 4 ~ Graphing and Solving for Ordered Pairs

Graphing

List four points that satisfy the equation

y = -x - 2

Ex. 1 ~ Graphing Linear Equations

​ A)
y = -x + 3
y = 2x - 3





B)
y - 2x = 6
3y - 6x = 9

Solve each system of equations by graphing. Then determine whether each system has no solution, one solution, or infinitely many solutions.

1. y = -3x + 1

y = x - 3
2. y = 2x + 3

-4x + 2y = 6

Ex. 2 ~ Substitution

Math Response

Use substitution to solve system of equations.

y = 3x

-2y + 9x = 5

Type answer here

Correct Answer: \left(\frac{5}{3}5\right)

Deg^°

Rad

Ex. 3 ~ Elimination

Use elimination to solve the system of equations.

3x +7y = 15
5x + 2y = -4

Exercises
Complete exercises in your spiral notebook for homework. Upload a picture to Google classroom when you’re finished.

#2-30
Even

#2-8
Even