1-6 Day 1 Absolute Value Equations Objective: I can solve an absolute value equation. Unit 1.
-
Upload
camilla-stephens -
Category
Documents
-
view
214 -
download
2
Transcript of 1-6 Day 1 Absolute Value Equations Objective: I can solve an absolute value equation. Unit 1.
1-6Day 1
Absolute Value Equations
Objective:
I can solve an absolute value equation.
Unit 1
Distance from zero on the number line → distance from x to 0 is a units
x
Absolute Value
− a a0
|2 𝑥−1|=5
2 𝑥−1=−5 2 𝑥−1=5or
2 𝑥=− 4𝑥=−2
2 𝑥=6𝑥=3
Solve and Graph|3 𝑥+2|=4
3 𝑥=2
𝑥=23
3 𝑥+2=43 𝑥+2=4
𝑥=−2
3 𝑥=− 6
23
−2 0
or
Solve for x and graph3|𝑥+2|−1=8 2|𝑥+9|+3=7
3|𝑥+2|=9
|𝑥+2|=3
𝑥+2=− 3𝑥+2=3 𝑥=1
2|𝑥+9|=4
|𝑥+9|=2
𝑥+9=−2𝑥+9=2 𝑥=−7
1−5 0 −7−11 0
𝑥=−5
.. ..𝑥=−11
Warning: Check your solutions|3 𝑥+2|=4 𝑥+5
3 𝑥+2=−(4 𝑥+5) 3 𝑥+2=4 𝑥+5or
3 𝑥+2=− 4 𝑥−5
𝑥=−1
−3=𝑥7 𝑥=−7
|3 (−1)+2|=4 (−1)+5
|− 1|=1
|3 (−3)+2|=4 (− 3)+5
|− 7|=−7
Extraneous solution
p.46:10-24
1-6Day 2
Absolute Value Inequalities
Objective:
I can solve an absolute value inequality.
Absolute Value Inequality
|2 𝑥−1|<5
2 𝑥−1<5−5<¿
− 4<2𝑥<6
−2<𝑥<3
+1 +1+1
2 2 2
-3 -2 -1 0 1 2 3 4 xxx
−𝑎<𝑥<𝑎0 x𝑎−𝑎
|3 𝑥− 4|≤ 8
x
−43
≤𝑥≤ 4
Absolute Value Inequality
|2 𝑥+4|≥ 6
2 𝑥+4≥ 62 𝑥+4≤ − 6
𝑥≥ 1 𝑥≤ −5
or |5 𝑥+10|>15
or
or
-6 -5 -4 -3 -2 -1 0 1 2 xxx
𝑎−𝑎 0 x
or
-6 -5 -4 -3 -2 -1 0 1 2 x
and
Compound InequalitiesAnd inequalities
Or inequalities3<5𝑥−2<73<5𝑥−2 5 𝑥−2<7+2 +2 +2+2
5<5 𝑥 5 𝑥<95 5 5 51<𝑥 𝑥<
95
0 2 xxx
7 𝑥− 3>18 3 𝑥− 2≤ − 2+3 +3 +2 +27 𝑥>21 3 𝑥≤ 07 7 33𝑥>3 𝑥≤ 0
or
0 2 4 xxx
p.38:37-43 odd
or and
p.46: 25-35
odd, 57-65
odd