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Solving Equationswith
Variables on Both Sides
Module 4Lesson 4
Solving Equations with Variables on Both Sides6 2.
9 = 10x – 11 9x = 10 – 11x
What is different about these two equations?
Solving Equations with Variables on Both Sides6 2.
Practice
1. 8t – 11 = – 7t + 19 2. 4n – 8 = n + 4 + 10n – 3n
Write these down in your notes
Solving Equations with Variables on Both Sides6 2.
EXAMPLE Using the Distributive Property
21x = 3(2x + 30)
Practice
3. 2(x – 7) = 5x + 10
Write this down in your notes
Solving Equations with Variables on Both Sides6 2.
EXAMPLE Finding the Perimeter of a Triangle
Each side of the triangle has the same length. What is the perimeter of the triangle ?
5x + 9 7x + 5
Solving Equations with Variables on Both Sides6 2.
Practice
4. Find the perimeter of the rectangle.
3
4x – 3
2x + 7
Write this down in your notes
Drum lessons at the youth center costs $8 for members and $12 for non members. Membership is $24. For what number of lessons is the cost the same for a member and a nonmember?
Solving Equations with Variables on Both Sides6 2.
EXAMPLE
Member fee
Price for members+
Cost for member
Price for nonmembers
Cost for nonmember
=
Collecting Like Terms
• Number of lessons • Number of
lessons
24 + 8l = 12l Write algebraic model.
24 + 8l = 12l
24 = 4n
n = 8
Subtract 8l from each side.
Combine like terms.
Divide each side by 4 then simplify.
– 8l – 8l
__ __ 4 4