the width ( w ) of a swimming pool must be 10 feet, but the length ( l ) can change. what happens to...
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The width (w) of a swimming pool must be 10 feet, but the length (l ) can change. What happens to the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Wednesday:
Turn in yesterday’s packet.Pg 141 Odd Problems
are due today.
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October 14 - 18
Daily Word Problems
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2. Using Rates in Equations
During the summer, Howard makes $8.50 per hour working for his uncle’s construction business. Write an equation that could be used to find the number of hours, x, that Howard must work to earn $510.
Total = dollars per hour times # hours
Answer: 510 = 8.50 x
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ON
TAR
GET
SOLVING LINEAR INEQUALITIES
Review
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GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is not a solution.
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GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or equal to 3.
A closed dot is used in the graph to indicate 2 is a solution.
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EXAMPLE 2 Solve an inequality with a variable on both sides
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x < 3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.Divide each side by – 2 and reverse the inequality.
ANSWERThe solutions are all real numbers less than 3. The graph is shown below.
GUIDED PRACTICE
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Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5. 3 – x > x – 9
5x – 7 ≤ 6x Write original inequality.
x > – 7 Subtract 5x from each side.
3 – x > x – 9 Write original inequality.
3 – 2x > – 9
– 2x > – 12
x < 6
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
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Overview of Handout
Inequalities
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Highlighter RecommendationsPage 138 – Negative Number Rule
Page 140 – Variable on the Right
Page 142 – Open circle vs. Closed Circle
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Example 3 page 143Which solutions of the following inequalities are represented by the graph?
Must solve each inequality to answer question.
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For an accuracy gradePage 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.15 minutesDue by end of class