math

1. 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

2. More Linear Equation Review
1) 2) 3) 4) 5)
2
10  2(x  4) 10
22  2x 5z  7 13 3z 9 12 z 
5

3. Transposing Equations and Formulas
Example 1:

4. Transposing Practice
2. 5y – x = 13 3. 3x + 2y = 12

5. Transposing Challenges
4. 5.

6. 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.

7. Solving Absolute Value Equations
Example 2)
x  5  7

8. Practice Solving Absolute Value Equations
Example 3)
3w 2  4w 5
2q  3 11
x  24  7x
1.
2.
3.
2x12  4x

9. HW 1.3 – #30 – 39 on p. 55

10. 1.6 How are the rules for solving linear inequalities similar to the
rules for solving linear equations? How are they different?
Warm-Up: Graph the inequalities below and
write them out in words!
x > 2
Agenda:
Portfolios
Linear inequalities and their graphs
Review Centers!
x  1
x  3 4  x

11. The Four Symbols
3  x
3  x
x  3
x  3

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

14. Practice Graphing Inequalities

15. How are the rules for solving linear inequalities similar
to the rules for solving linear equations?
How are they different?
x  7  4 x  3  1
155x 45 9   x 17x
10
1
x 
2

17. 5x  2  7x  4

19. Review Concept Centers!
2. Solving Linear
Equations
2 4
3
1.Evaluating and
Simplifying
Expressions
3. Transposing
Equations
4. Solving Absolute
Value Equations
5. Solving linear
Inequalities

20. 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

21. Exit Slip / Summary
Just by looking at them, how many solutions do you think
there are for each equation below?
Linear Equation Abs. Value Equation
3x - 15 = 75 I 3x - 15 l = 75
Now solve them to see if you were correct!