Warm Up
Solve.
1. 2x + 9x – 3x + 8 = 16
2. –4 = 6x + 22 – 4x
3.
2
7
4.
9x
16
x
7
+ =5
–
2x
4
1
7
=3
1
8
Warm Up
Solve.
1. 2x + 9x – 3x + 8 = 16
2. –4 = 6x + 22 – 4x
3.
2
7
4.
9x
16
x
7
+ =5
–
2x
4
1
7
=3
x=1
x = –13
x = 34
1
8
x = 50
3-4 Solving Equations with Variables on Both Sides
Objectives
• Math
I will solve equations with
variables on both sides
Standard/s:
Algebra and Function 4.1
• Language
I will work with my group
to solve equations with
variables on both sides.
Example
A.
B.
C.
D.
E.
Steps
Write the problem.
Multiply both sides
by the LCD
Combine like terms
from both sides
Do the inverse to
both sides
Simplify.
Helpful Hint
if the variables in an equation are eliminated and the resulting
statement is false, the equation has no solution. If the statement is true
the solution is all real numbers. p. 132; 15 and 26.
Video Example
• http://my.hrw.com/math06_07/nsmedia/hom
ework_help/msm2_ca/msm2_ca_ch03_04.ht
ml
Solve.
Lesson Quiz
1. 4x + 16 = 2x
2. 8x – 3 = 15 + 5x
3. 2(3x + 11) = 6x + 4
4. 1 x = 1 x – 9
4
2
5. An apple has about 30 calories more than an
orange. Five oranges have about as many
calories as 3 apples. How many calories are in
each?
Solve.
Lesson Quiz
1. 4x + 16 = 2x x = –8
2. 8x – 3 = 15 + 5x x = 6
3. 2(3x + 11) = 6x + 4 no solution
4. 1 x = 1 x – 9 x = 36
4
2
5. An apple has about 30 calories more than an
orange. Five oranges have about as many
calories as 3 apples. How many calories are in
each? An orange has 45 calories. An apple
has 75 calories.
Homework
• p. 132; 1-21 odd, SSR odd
Online Help
• GO.hrw.com MT8CA 3-4
or click
http://my.hrw.com/math06_07/nsmedia/homework_help/msm2_ca/msm2_ca_ch03_04.html