Transcript 4-3 Solving Absolute value equations

WARM UP
-1)− 1)
Solve4n
4𝑛==2(n
2 𝑛+1)
+ 1+ 3(n
+ 3(𝑛
WORK WITH A PARTNER
Telephone Poll of
Likely Voters
Maria Cortez
Undecided
James Blake
The actual results could vary from the
poll results by -3% to 3%.
1) What is the greatest percent of
voters who might vote for Blake?
9%
49%
42%
2) What is the least percent of voters
who might vote for Cortez?
3) According to the poll, can Cortez
get a majority of the votes?
EXAMPLE
Use a number line to solve |m| = 2.5
USE A NUMBER LINE TO SOLVE
a) | b | = 2
b) 4 = | y |
c) | x | = 5
d) x = | 5 |
CRITICAL THINKING…
Is there a solution for | x | = - 3? Explain.
SOLVE
| x | + 5 = 11
GOAL:
Get absolute
value by itself on
one side of
equation.
SOLVE
| x | + 11 = 5
GOAL:
Get absolute
value by itself on
one side of
equation.
SOLVE
3 = |w| - 4
GOAL:
Get absolute
value by itself on
one side of
equation.
SOLVE
x
-6 = |𝑥|
−6 =-2
−2
GOAL:
Get absolute
value by itself on
one side of
equation.
Telephone Poll of
Likely Voters
Maria Cortez
Undecided
James Blake
9%
49%
42%
The equation | p – 9 | = 3 represents the
max and min % of people who are
undecided. Solve the equation.
SOLVE & CHECK
|c–2|=6
SOLVE & CHECK
|x+8|=5
HOMEWORK
Pg 172-173 #5–7, 11, 16, 22, 23, 29
STUDY FOR QUIZ TOMORROW!