Multi-Step Equations
Warm
Analyze the following problem. Agree or disagree?
3x + 10 + 2x = 2x + 8
-2x
-2x
x + 10 = 2x + 8
-x
-x
10 = x + 8
-8
-8
2 = x answer
isolate the variable by
combining like terms
An equation with variables on both sides can have:
one solution
1) 2x - 5 = 4x - 1
what operation was done next?
Multi-Step Equations
isolate the variable by
combining like terms
An equation with variables on both sides can have:
many solutions
2) 3x - 5 = -5 + 3x
1
Multi-Step Equations
isolate the variable by
combining like terms
An equation with variables on both sides can have:
no solution
3)
x=x+3
So what do you know? There are 3
possibilities for solutions when solving an
equation with variables on both sides.
What are they?
(be prepared for a pop quiz)
Quiz: Eqns w/variables on both sides
1) 2x + 4 = 2( x + 2)
HW assignment~
2) 3(2x - 2) = 6x - 15
COPY THE FOLLOWING ON THE BACK
OF YOUR NOTE PAGE...
1.) 4(x - 2) = 4x + 6
3) 2(x + 2) = 3x - 6
2.) 5x - 10 = 5(x - 2)
3.) 8x + 5 - 2x = 6(x - 1)
4.) 1
(2x + 8) = x + 4
2
5.) 5x + 6 - 3x = -10 + 2x + 16
6.) 8(x - 3) = 4(2x - 6)
2