Transcript Lesson 3.6

Bellringer
Solve for x:
5 + 4x – 7 = 4x + 3 – x
Hand in take home quiz
3.6
Clearing the Equation
 When
an equation contains
fractions or decimals, we
can use multiplication to
get rid of them
Clearing the Equation
 Fractions
– multiply by the
Least Common Denominator
(use chart)
Example 1
2
1
5
x  x   2x
3
2
6
Example 2
7
3 1
3
x  x
8
4 2
2
Example 3
5
1 2
x  x4
6
2 3
You Try
3 1
2
− 𝑚= 𝑚
4 6
3
Solve
1
3
5
z 
7
14 14
Solve
5
1 2
𝑥+ = 𝑥+4
6
2 3
You Try
1
1 5
𝑔+ = 𝑔
3
2 6
Homework
 Pg.
140 8 – 18 even
Clearing the Equation
 Decimals
– Count number of
digits after decimal (use the
highest one)
 1 digit → Multiply by 10
 2 digits → Multiply by 100
 3 digits → Multiply by 1000
Example 4
16.3 – 7.2y =-8.18
Example 5
26.45 = 4.2r +1.25
Example 6
0.5a + 0.75a + 1.2 = 1.45
You Try
2.3x − 1.25 = 0.04x
Solve
41.68 = 4.7 – 8.6y
Solve
−1.2x + 0.4 = −2.7x − 1.9
You Try
0.12x + 0.52 = −1.47x − 2.12
Homework

Pg. 140 #19 – 24 all