Download Lesson 12 - solving inequalities

Warm Up- Monday 10/24/16 Do 3!
1.
Years
(x)
0
1
2
Height of
Tree (Y)
3
6
9
5.
4.
What does the x-intercept represent?
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Other quiz questions
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This Week in Work (TWIW)
Homework Due Thursday!
Questions on wkst 9 or 10
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Tutoring
Morning
(8:05 – 8:40 AM)
Afternoon
(4:15 – 4:45 PM)
Monday
Tuesday
Wednesday
Thursday
Friday
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By the end of class today…
SWBAT solve linear inequalities
in standard form.
Our Goals This Week:
HW
90%
D.O.L.
75%
Why This Matters
Inequalities are totally useful in real life!
Working with money and weights
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Review: 4 minutes
Menu 3,1
Graph
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Key Points: <very important>
Y = 3x + 2
Y < 3x + 2
equations
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Example 1:
Steps:
1. Add or subtract
2. Divide by
coefficient
3. Flip inequality
sign (if needed)
Think About It: What would you do if it was the equation −3𝑥 + 1 = 10?
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You try 2:
Steps:
1. Add or subtract
2. Divide by
coefficient
3. Flip inequality
sign (if needed)
Think About It: What would you do if it was the equation 4𝑦 − 5 = 15?
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Steps:
1. Substitute
2. Add or subtract
3. Divide by
coefficient
4. Flip inequality
sign (if needed)
Example 4:
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Think About It: What would you do if it was the equation − 2 𝑥 − 2𝑦 = 10?
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Example 5: Whiteboard
5. Given (3, y) solve: −𝟐𝒙 + 𝒚 > 𝟏𝟒
Steps:
1. Substitute
2. Add or subtract
3. Divide by
coefficient
4. Flip inequality
sign (if needed)
Think About It: What would you do if it was the equation −2𝑥 + 𝑦 = 14?
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Steps:
1. Substitute
2. Add or subtract
3. Divide by
coefficient
4. Flip inequality
sign (if needed)
Example 5:
6. If y = -1, solve for x
𝟏
− 𝒙 − 𝟒𝒚 ≥ 𝟕
𝟔
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Think About It: What would you do if it was the equation − 6 𝑥 − 4𝑦 = 7?
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Whiteboard:
Steps:
1. Add or subtract
2. Divide by
coefficient
3. Flip inequality
sign (if needed)
Think About It: What would you do if it was the equation 4𝑦 − 5 = 15?
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Independent Practice
• You have 8 minutes to
choose 10 problems.
• Feeling like this guy? Go for
gold! Get all of ‘em!
• Check your work on the
back wall – NO
PEN/PENCILS!
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DOL:
1. Given y = 2, solve for x: 2𝑥 − 5𝑦 ≥ 15
2. Given (0, y), sovle for y: 6𝑥 − 7𝑦 ≤ 49
3. If y = 12, what are all the possible values for x? 10𝑦 + 2𝑥 < 120 ?
4. If x = -1, what are the possible values for y? −𝑦 − 𝑥 > 10
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