Multi-Step problems using Distributive Property and variables on both sides
7(x-2)=6x
14
2x+5= 3x
5
The operation that reverses the effect of another operation.
Inverse operations
Name the three different types of solutions for equations.
One solution, infinite solutions, no solution
-1/2=3/2k+3/2
k=-4/3
-(a-12)+4a= 9a
2
5x+2= 3x-8
-5
Subtracting a number from both sides of an equation produces equivalent equations.
Subtraction property of equality
If after solving the equation you arrive at 5 = -5, what is the type of solution?
no solution
3/2n-8/3=-29/12
n=1/6
3(x+1)=x+5
1
12x+8= 3x+62
6
Terms in an equation where the variables and their exponents are the same.
If you arrive at the step 6=6 when solving an equation, what would be the solution?
infinite solutions
11/4+3/4r=163/32
r=25/8
4(2a+3)= -3(a-1)+31
2
16-4x=7x+5
1
An equation that has two or more variables.
Literal Equations
If you arrive at 6x+2=6x+2 when solving the equation, what type of solution can you predict this is?
infinite solutions
2b+9/5=-11/5
b=-2