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Chapter Menu : Chapter Menu Lesson 6-1 Solving Inequalities by Addition and Subtraction
Lesson 6-2 Solving Inequalities by Multiplication and Division
Lesson 6-3 Solving Multi-Step Inequalities
Lesson 6-4 Solving Compound Inequalities
Lesson 6-5 Solving Open Sentences Involving Absolute Value
Lesson 6-6 Solving Inequalities Involving Absolute Value
Lesson 6-7 Graphing Inequalities in Two Variables
Lesson 6-8 Graphing Systems of Inequalities
Lesson 1 Menu : Lesson 1 Menu Five-Minute Check (over Chapter 5)
Main Ideas and Vocabulary
California Standards
Key Concept: Addition Property of Inequalities
Example 1: Solve by Adding
Key Concept: Subtraction Property of Inequalities
Example 2: Solve by Subtracting
Example 3: Variables on Each Side
Example 4: Write an Inequality to Solve a Problem
Lesson 1 MI/Vocab : Lesson 1 MI/Vocab set-builder notation Solve linear inequalities by using addition. Solve linear inequalities by using subtraction.
Lesson 1 CA : Lesson 1 CA Standard 5.0 Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. (Key, CAHSEE)
Lesson 1 KC1 : Lesson 1 KC1
Lesson 1 Ex1 : Lesson 1 Ex1 Solve by Adding Solve s – 12 > 65. Check your solution. s – 12 > 65 Original inequality
s – 12 + 12 > 65 + 12 Add 12 to each side.
s > 77 Simplify. Answer: The solution is the set {all numbers greater than 77}. Check To check, substitute 77, a number less than 77, and a number greater than 77.
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B
C
D A. k > 14
B. k < 14
C. k < 6
D. k > 6 Solve k – 4 < 10.
Lesson 1 KC2 : Lesson 1 KC2
Lesson 1 Ex2 : Lesson 1 Ex2 TEMPERATURE By 5:00 P.M. the temperature in Fairbanks had risen 23 degrees to a temperature that is now less than 14°F. What was the temperature at the beginning of the day? Answer: The solution set is {x | x < –9}. Solve by Subtracting t + 23 < 14 Original inequality
t + 23 – 23 < 14 – 23 Subtract 23 from each side.
t < –9 Simplify.
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B
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D The temperature at the end of the day in Cleveland had risen 15°F to a temperature less than 13°F. What was the temperature at the beginning of the day?
Lesson 1 Ex3 : Lesson 1 Ex3 Variables on Each Side Solve 12n – 4 ≤ 13n. Graph the solution. Answer: Since –4 ≤ n is the same as n ≥ –4, the solution set is {n | n ≥ –4}. 12n – 4 ≤ 13n Original inequality
12n – 4 – 12n ≤ 13n – 12n Subtract 23 from each side.
–4 ≤ n Simplify.
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B
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D Solve 3p – 6 ≥ 4p. Graph the solution.
Lesson 1 Ex4 : Lesson 1 Ex4 ENTERTAINMENT Alicia wants to buy season passes to two theme parks. If one season pass costs $54.99, and Alicia has $100 to spend on passes, the second season pass must cost no more than what amount? Words The total cost of the two passes must be less than or equal to $100. Variable Let s = the cost of the second pass. Write an Inequality to Solve a Problem
Lesson 1 Ex4 : Lesson 1 Ex4 Solve the inequality. Answer: The second season pass must cost no more than $45.01. Write an Inequality to Solve a Problem 54.99 + s ≤ 100 Original inequality
54.99 + s – 54.99 ≤ 100 – 54.99 Subtract 54.99 from each side.
s ≤ 45.01 Simplify.
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B
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D A. 30 points
B. 5 points
C. 7 points
D. 6 points Michael scored 30 points in the four rounds of the free throw contest. Randy scored 11 points in the first round, 6 points in the second round, and 8 in the third round. How many points must he score in the final round to surpass Michael’s score?
End of Lesson 1 : End of Lesson 1