Vocabulary
A _____ represents an unknown amount/quantity or value.
Variable
8n+7=31
n=3
10(1+3b)=-20
b=-1
Does the equation have one, none, or infinite solutions?
30+6p=7(p+6)-5
One Solution (p=-7)
6x=2x+44
x=11
___ ___ have the same variable or exponent. We combine these together
like terms
9x-7=-7
x=0
7-(5t-13)=-25
t=9
Does the equation have one, none, or infinite solutions?
3+5n=5(n+2)-7
Infinite Solutions
12x+12=3x+84
x=8
Define coefficient
The number or symbol in front of the variable
6=a/4 + 2
a=16
-5n-8(1+7n)=-8
n=0
Does the equation have one, none, or infinite solutions?
-11+x=-7x-8(-x+1)
No solution
3+6x=2x+27
x=6
What is the first thing to do when solving multi-step equations with parentheses ( ) ?
The Distributive Property
8+b/-4 = 5
b=12
-11-5a=6(5a+4)
a=-1
Does the equation have one, none, or infinite solutions?
-4(x+1)=8+4(-x-3)
Infinite Solutions
8x+2=72+x
x=10
The four steps to solving multi-equations are 1. ___ 2. ___ 3.____ 4._____.
1. Distribute
2. Combine Like Terms
3. Move variable to one side
4. Get variable alone
(v+9)/3 = 8
v=15
5(2x+6)=-4(-5-2x)+3x
x=10
Does the equation have one, none, or infinite solutions?
6(3-5w)=5(4-2w)-20w
No solution
4x+1=25+2x
x=12