Solving Steps
What is the first step in solving equations?
Distribute
2(x - 7) = 10
x = 12
6 + 10x - 4x = x +1
x = -1
-2(v - 2) = -3 - 2v
No Solution
Solve: A=lw for l
l=a/w
What is the second step in solving equations?
Combine like terms
5(x + 2) = -20
x = -2
-7x - 10 = -8x - 4x
x = 2
-4(v + 3) = -12 - 4v
Infinite Solution/All Real Numbers
Solve: g=c+x, for x
x=g-c
What is the third step in solving equations? (Be specific).
Add or Subtract to move the variable term.
3(2 + x) = 5x + 16
x = -5
10 - 8x = -2x + 4x
x = 1
-3(v + 4) = 2v - 37
1 solution
Solve: 12am=4, for a
a=1/3m
What is the last step in solving equations? (be specific).
Multiply or Divide to isolate the variable.
-152 = 4x - 4(6x + 13)
x = 5
13 + 4x + 3x = 3x + 1
x = -3
4(k - 8) = -32 + 4k
Infinite Solutions/All Real Numbers
Solve: g=x-c+y, for x
x=g+c-y
When solving an equation with a fraction on one side, what is the first step to get rid of the fraction?
Multiply by the denominator (or reciprocal)
5x + 2(1 - x) = 2(2x - 1)
x = 4
-5 + 7 + 2x - 3x = x - 8
x = 5
-(3 - 6b) = 6b + 5
No Solution
Solve: g=b-ca, for a
a=(g-b)/-c or a=(-g+b)/c