Day 5: Graphing Linear Inequalities 1

Day 5: Graphing Linear InequalitiesGoal: To graph linear inequalities using tables or

equations. AND To write equations to describe lines.

Standard: 9.2.4.4 – Represent relationships in various contexts using systems of linear inequalities; solve them graphically. Indicate which parts of the boundary are included in and excluded from the solution set using solid and dotted lines.

Guiding Question: How do I graph a linear inequality? AND How can I write equations of lines?

Materials: Pencil, Folder, Student Packet

Day 5: Graphing Linear Inequalities 2

Adding and Subtracting

Fractions

Adding and Subtracting

DecimalsA) 67.8 + 5.23B) 71 – 8.09

Dividing Fractions

Math Review Day 5 QUIZ

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A)57+25

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A)710÷18

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B)710−23

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B)49÷12

Day 5: Graphing Linear Inequalities 3

Access:Graph: A) y = 3x - 2

B)

C) y = -2x + 5€

y =12x

Day 5: Graphing Linear Inequalities 4

Write an equation with the following information:

A) Slope = , y-intercept = 4

B) Slope = 4, y-intercept =

Try: C) Slope = , y-intercept = 4

D) slope = 3, y-intercept = 2

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−25

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−12

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14

Day 5: Graphing Linear Inequalities 5

E) Slope: -4 and contains (-1, -2)

F) Slope: and contains (5, 1)

Try:G) Slope = -4, and contains (0, 3)

H) Slope = 1 and contains (-1, -4)

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16

Day 5: Graphing Linear Inequalities 6

I) Contains (1, -4) and (3, 2)

J) contains (4, -7) and (0, 5)

Try:K) contains (2, -3) and (4, 1)

L) Contains (0, 1) and (-2, 9)

Day 5: Graphing Linear Inequalities 7

How are parallel lines related? How are perpendicular lines related?

M) Parallel to y = -3x + 5, contains (6, -2)

N) Perpendicular to y = -2x + 4, contains (-2, 5)

Try:O) Parallel to y = x - 6, contains (-1, 2)

P) Perpendicular to y = 5 - 3x, contains (2, -4)

Day 5: Graphing Linear Inequalities 8

Graph the inequality: A) y ≥ - 2x + 6

B) y < 3x -3

C) y > 4x + 7

Day 5: Graphing Linear Inequalities 9

Try: D) y ≤ 2 - 3x

E) 3x - 2y > 6

F) y ≥ x + 5

G) y > 3x + 1

H) y > 2/3x - 1

Day 5: Graphing Linear Inequalities 10

Work Time:Work through pages 15 and 16 in your packet

Exit Slip at: _________

Day 5: Graphing Linear Inequalities 11

Exit Slip: (on a half-sheet of scratch paper)Previous Material (PM):Solve for y: A)6x - y = 10 B) 4y = 4x - 8

New Material (NM):Write the equation:A) Contains (1, 2) and (-3, 4) B) slope: -2, contains (0, 3)Graph: B) Y ≥ x - 2 B) y < 2x + 3 Make sure your name is on it, and turn it in!

Day 5: Graphing Linear Inequalities 12

Solve the proportion:

"Make sure x is in the numerator

and solve"

Find 10%, 20%, 50% and 100%:

80

"Find 10% by moving the decimal one

place, and use it to find the

others.”

Percent Problems:

What is 15% of 40?

"Write an equation, is =, of x, and solve for x."

Reflection Starters: “I know……” or “I need to work on……”

Mental

Math

Math Review Day 6

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34=x80

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