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Algebra 2 Week #2A Section 3. Who’s shining that light?

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Presentation on theme: "Algebra 2 Week #2A Section 3. Who’s shining that light?"— Presentation transcript:

1 Algebra 2 Week #2A Section 3

2 Who’s shining that light?

3 Week #2A – Section 2 Reflection Question Reflection Question for Today: What are the two different methods for solving compound inequalities? Pull them apart and solve separately, or solve them together by changing both ends as you go.________________________ Solve: 3 < 5 – x < 15 - 2 < - x < 10 2 > x > - 10

4 Week #2A Section 2 Homework Answers Classwork: On the Right Track 6 world records. (Flip the inequality sign for #4, 6, 9, 10, 11, and 12) Homework: CAHSEE #1D 1. 0 < x < 32. 2 ≤ x ≤ 3 3. 10 ≤ x ≤ 164. 3/2 > x ≥ - 3 5. x > 56. x < - 11 7. B 8. E 9. C 10. E

5 Week #2A – Section 3 GOAL: To review graphing inequalities. (Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Evaluate. 1.- 5 3 = _______ 2. 7 1 = ________ 3. (- 11) 2 = ________ 4. (- 3) 3 = _______ Simplify. 5. 4r 2 + 9r - 5r 2 + 3r = ______________ 6. 5(x – 2y) + 9(3 – y) = _________________

6 Week #2A – Section 3 GOAL: To review graphing inequalities. (Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Evaluate. 1.- 5 3 = - 125 2. 7 1 = ________ 3. (- 11) 2 = ________ 4. (- 3) 3 = _______ Simplify. 5. 4r 2 + 9r - 5r 2 + 3r = ______________ 6. 5(x – 2y) + 9(3 – y) = _________________

7 Week #2A – Section 3 GOAL: To review graphing inequalities. (Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Evaluate. 1.- 5 3 = - 125 2. 7 1 = 7 3. (- 11) 2 = ________ 4. (- 3) 3 = _______ Simplify. 5. 4r 2 + 9r - 5r 2 + 3r = ______________ 6. 5(x – 2y) + 9(3 – y) = _________________

8 Week #2A – Section 3 GOAL: To review graphing inequalities. (Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Evaluate. 1.- 5 3 = - 125 2. 7 1 = 7 3. (- 11) 2 = 121 4. (- 3) 3 = _______ Simplify. 5. 4r 2 + 9r - 5r 2 + 3r = ______________ 6. 5(x – 2y) + 9(3 – y) = _________________

9 Week #2A – Section 3 GOAL: To review graphing inequalities. (Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Evaluate. 1.- 5 3 = - 125 2. 7 1 = 7 3. (- 11) 2 = 121 4. (- 3) 3 = - 27 Simplify. 5. 4r 2 + 9r - 5r 2 + 3r = ______________ 6. 5(x – 2y) + 9(3 – y) = _________________

10 Week #2A – Section 3 GOAL: To review graphing inequalities. (Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Evaluate. 1.- 5 3 = - 125 2. 7 1 = 7 3. (- 11) 2 = 121 4. (- 3) 3 = - 27 Simplify. 5. 4r 2 + 9r - 5r 2 + 3r = - r 2 + 12r 6. 5(x – 2y) + 9(3 – y) = _________________

11 Week #2A – Section 3 GOAL: To review graphing inequalities. (Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Evaluate. 1.- 5 3 = - 125 2. 7 1 = 7 3. (- 11) 2 = 121 4. (- 3) 3 = - 27 Simplify. 5. 4r 2 + 9r - 5r 2 + 3r = - r 2 + 12r 6. 5(x – 2y) + 9(3 – y) = 5x – 19y + 27

12 Week #2A – Section 3 GOAL: To review graphing inequalities. (Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS 7. The all time leading scorer in NBA history is still Kareem Abdul-Jabbar with 38,387 points. The tenth player on the list is John Havlicek with 26, 395 points. Write the inequality that shows the range of points scored by the top ten players.

13 Week #2A – Section 3 GOAL: To review graphing inequalities. (Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS 7. The all time leading scorer in NBA history is still Kareem Abdul-Jabbar with 38,387 points. The tenth player on the list is John Havlicek with 26, 395 points. Write the inequality that shows the range of points scored by the top ten players. 26,395 ≤ x ≤ 38,387

14 Still the champ.

15 Week #2A Section #3 Notes Graphing Inequalities The Questions 1.HOW do you graph an equation or an inequality with only ONE variable? On a number line. You need two variables (x and y) to graph on a coordinate plane. 2.WHAT is the difference between equation and inequality graphs? 3. WHAT is the difference between open and closed circles?

16 Week #2A Section #3 Notes Graphing Inequalities The Questions 1.HOW do you graph an equation or an inequality with only ONE variable? On a number line. You need two variables (x and y) to graph on a coordinate plane. 2.WHAT is the difference between equation and inequality graphs? Equation graph is one dot. Inequality graph is part of a number line. 3. WHAT is the difference between open and closed circles?

17 Week #2A Section #3 Notes Graphing Inequalities The Questions 1.HOW do you graph an equation or an inequality with only ONE variable? On a number line. You need two variables (x and y) to graph on a coordinate plane. 2.WHAT is the difference between equation and inequality graphs? Equation graph is one dot. Inequality graph is part of a number line. 3.WHAT is the difference between open and closed circles? Open is for. Closed is for ≤ and ≥.

18 Week #2A Section #3 Notes Graphing Inequalities The Questions 4.FOR THIS CLASS, how many numbers do you need to show on the graph? Only zero and the answer numbers. EXAMPLE: Graph x > 3 ı o 0 3 Graph x ≤ 2 ı ● 0 2

19 Week #2A Section #3 Notes Graphing Inequalities The Questions 5. HOW do you graph an AND compound inequality? In between two numbers. EXAMPLE: Graph – 1 < x < 3 o ı o -1 0 3

20 Week #2A Section #3 Notes Graphing Inequalities The Questions 6. HOW do you graph an OR compound inequality? On the outside of two numbers. EXAMPLE: Graph – 1 > x OR x > 3 o ı o -1 0 3

21 Week #2A Section #3 Notes Graphing Inequalities The Questions REAL LIFE: The highest temperature recorded at Death Valley was 134°F and the lowest was 15°F. Show the range on the number line below. Could it ever snow in Death Valley?

22 Death Valley, California

23 Week #2A Section #3 Notes Graphing Inequalities The Questions REAL LIFE: The highest temperature recorded at Death Valley was 134°F and the lowest was 15°F. Show the range on the number line below. Could it ever snow in Death Valley? ı ● ● 0 15 134

24 Death Valley with snow

25 Week #2A Section #3 Notes Graphing Inequalities The Questions REAL LIFE: The highest temperature recorded at Death Valley was 134°F and the lowest was 15°F. Show the range on the number line below. Could it ever snow in Death Valley? ı ● ● 0 15 134 Yes, it can snow! Freezing is 32°F, and it gets colder than that!

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