Solving Equations Using more than one step

1
Solving Equations Using more than one step!!!
Remember

• Simplify one or both sides of the equation!

• Use inverse operations to get variable alone!

2
What is our Goal???
We want the variable by itself!!
a.k.a get x by itself
3
Solve this equation

• 2x-1532
• Step 1 2x-151532 15
• 2x47
• Step 2

• Step 3 x23 ½

4
Try this one!!

• 5x3(x4)28 (hint Simplify the left hand
  side of the equation)
• 5x3x1228 (Collect like terms)
• 8x1228
• -12 -12 (sub.12 from each side)
• 8x16 (Divide by 8)
• x2

5
Is there something wrong?

• 2(x-3) 5
• 2x-3 5
• 2x 8
• x 4

• The 2 was not distributed properly in the first
  step.
• The second step should be 2x-6 5

6
Is there something wrong?

• 5-3x 10
• 2x 10
• x 5

• 5-3x 10
• -3x 5 (minus 5 from both sides)
• x -5/3 (divide by -3)

7
Whats my age?

• Jeff is 4 years younger than twice his sons
  age. The sum of their ages is 74. How old is the
  son?
• Let ssons age
• the dads age can be represented by 2s-4
• Equation s(2s-4)74

8
Sons age continued

• Here was our equation
• s(2s-4)74
• (Combine terms on left side)
• 3s-4 74
• Add 4 to both sides
• 3s74
• Divide by 3
• S18 What does that mean?

9
Final answer?

• If s26, that means the son is 26 years old.
• The problem is asking for the fathers age.
• 2(26)-4 is the fathers age
• The father is 48 years old.