algebra 2 week #2a section 3. who’s shining that light?

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Algebra 2 Week #2A Section 3

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Algebra 2

Week #2A

Section 3

Who’s shining that light?

Week #2A – Section 2Reflection 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

Week #2A Section 2Homework Answers

• Classwork: On the Right Track• 6 world records. (Flip the inequality sign for #4, 6, 9, 10, 11, and 12)

• Homework:CAHSEE #1 D

1. 0 < x < 3 2. 2 ≤ x ≤ 33. 10 ≤ x ≤ 16 4. 3/2 > x ≥ - 35. x > 5 6. x < - 11 7. B8. E9. C10. E

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. - 53 = _______

• 2. 71 = ________

• 3. (- 11)2 = ________

• 4. (- 3)3 = _______

• Simplify.• 5. 4r2 + 9r - 5r2 + 3r = ______________

• 6. 5(x – 2y) + 9(3 – y) = _________________

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. - 53 = - 125

• 2. 71 = ________

• 3. (- 11)2 = ________

• 4. (- 3)3 = _______

• Simplify.• 5. 4r2 + 9r - 5r2 + 3r = ______________

• 6. 5(x – 2y) + 9(3 – y) = _________________

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. - 53 = - 125

• 2. 71 = 7

• 3. (- 11)2 = ________

• 4. (- 3)3 = _______

• Simplify.• 5. 4r2 + 9r - 5r2 + 3r = ______________

• 6. 5(x – 2y) + 9(3 – y) = _________________

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. - 53 = - 125

• 2. 71 = 7

• 3. (- 11)2 = 121

• 4. (- 3)3 = _______

• Simplify.• 5. 4r2 + 9r - 5r2 + 3r = ______________

• 6. 5(x – 2y) + 9(3 – y) = _________________

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. - 53 = - 125

• 2. 71 = 7

• 3. (- 11)2 = 121

• 4. (- 3)3 = - 27

• Simplify.• 5. 4r2 + 9r - 5r2 + 3r = ______________

• 6. 5(x – 2y) + 9(3 – y) = _________________

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. - 53 = - 125

• 2. 71 = 7

• 3. (- 11)2 = 121

• 4. (- 3)3 = - 27

• Simplify.• 5. 4r2 + 9r - 5r2 + 3r = - r2 + 12r

• 6. 5(x – 2y) + 9(3 – y) = _________________

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. - 53 = - 125

• 2. 71 = 7

• 3. (- 11)2 = 121

• 4. (- 3)3 = - 27

• Simplify.• 5. 4r2 + 9r - 5r2 + 3r = - r2 + 12r

• 6. 5(x – 2y) + 9(3 – y) = 5x – 19y + 27

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 pointsscored by the top ten players.

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 pointsscored by the top ten players.

26,395 ≤ x ≤ 38,387•

Still the champ.

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? 

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? 

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 < and >.Closed is for ≤ and ≥.

 

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 

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

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

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?

Death Valley, California

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

Death Valley with snow

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!