math 10 aim 1.6 1.7

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Aim: 1.4 How do we transpose equations and formulas! 1.7 How do we solve absolute value equations and why must we always check our solution(s)!? Warm-Up: 1) Find the error in Sarah’s work and explain what she did wrong in 1-2 sentences! 2) Show Sarah how to do this problem correctly! Agenda: Review of HW1.2 Transposing equations and formulas Absolute value equations Student Portfolios

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Page 1: Math 10 aim 1.6 1.7

Aim: 1.4 How do we transpose equations and formulas! 1.7 How do we solve absolute value equations and why must we always check our solution(s)!?

Warm-Up:1) Find the error in Sarah’s work and explain

what she did wrong in 1-2 sentences! 2) Show Sarah how to do this problem correctly!

Agenda: Review of HW1.2Transposing equations and formulasAbsolute value equationsStudent Portfolios

Page 2: Math 10 aim 1.6 1.7

More Linear Equation Review

1) 2) 3) 4) 5)

)4(210 x 105

2z1293 zx222 1375 z

Page 3: Math 10 aim 1.6 1.7

Transposing Equations and Formulas

Example 1:

Page 4: Math 10 aim 1.6 1.7

Transposing Practice

2. 5y – x = 13 3. 3x + 2y = 12

Page 5: Math 10 aim 1.6 1.7

Transposing Challenges4. 5.

Page 6: Math 10 aim 1.6 1.7

Aim: 1.7 How do we solve absolute value equations and why must we always check our solutions?

x = ?

The absolute value of a number is the distance that number is from zero on the number line.

Page 7: Math 10 aim 1.6 1.7

Solving Absolute Value Equations

Example 2)75 x

Page 8: Math 10 aim 1.6 1.7

Practice Solving Absolute Value EquationsExample 3)

5423 ww

1132 q

xx 724

1.

2.

3.

xx 4122

Page 9: Math 10 aim 1.6 1.7

HW 1.3 – #30 – 39 on p. 55

Page 10: Math 10 aim 1.6 1.7

Warm-Up: Graph the inequalities below and write them out in words!

x > 2

1.6 How are the rules for solving linear inequalities similar to the rules for solving linear equations? How are they different?

Agenda:PortfoliosLinear inequalities and their graphsReview Centers!

1x

x43x

Page 11: Math 10 aim 1.6 1.7

The Four Symbols

3x

3x

3x

3x

Page 12: Math 10 aim 1.6 1.7
Page 13: Math 10 aim 1.6 1.7

Compound Inequalities consist of two inequalities joined by “and” or “or”

Page 14: Math 10 aim 1.6 1.7

Practice Graphing Inequalities

Page 15: Math 10 aim 1.6 1.7

How are the rules for solving linear inequalities similar to the rules for solving linear equations? How are they different?

47 x 13 x10

2

1x

155 x 459 x 17 x

Page 16: Math 10 aim 1.6 1.7
Page 17: Math 10 aim 1.6 1.7

4725 xx

Page 18: Math 10 aim 1.6 1.7
Page 19: Math 10 aim 1.6 1.7

Review Concept Centers!

3

42

1.Evaluating and Simplifying Expressions

2. Solving Linear Equations

3. Transposing Equations

4. Solving Absolute Value Equations

5. Solving linear Inequalities

Page 20: Math 10 aim 1.6 1.7

HW 1.4- Review for Quiz!

To Prepare go to the CHAPTER REIVEW section in your textbook, pages 61 – 64 and do the exercises below:

1.2 evaluating and simplifying alg. Expressions, #10-15

1.3 Solving linear equations, #17 - 22

1.4 Transposing equations, #25 – 30

1.7 Solving absolute value equations, #41 – 43

1.6 Solving linear Inequalities, #34 - 39

Page 21: Math 10 aim 1.6 1.7

Exit Slip / Summary

Just by looking at them, how many solutions do you think there are for each equation below?

Linear Equation Abs. Value Equation3x - 15 = 75 I 3x - 15 l = 75

Now solve them to see if you were correct!