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 HW1.2Transposing equations and formulasAbsolute value equationsStudent Portfolios
More Linear Equation Review
1) 2) 3) 4) 5)
)4(210 x 105
2z1293 zx222 1375 z
Transposing Equations and Formulas
Example 1:
Transposing Practice
2. 5y – x = 13 3. 3x + 2y = 12
Transposing Challenges4. 5.
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.
Solving Absolute Value Equations
Example 2)75 x
Practice Solving Absolute Value EquationsExample 3)
5423 ww
1132 q
xx 724
1.
2.
3.
xx 4122
HW 1.3 – #30 – 39 on p. 55
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
The Four Symbols
3x
3x
3x
3x
Compound Inequalities consist of two inequalities joined by “and” or “or”
Practice Graphing Inequalities
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
4725 xx
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
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
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!