Solving Equations with Variables on Both Sides Module 4 Lesson 4

Solving Equations with Variables on Both Sides = 10x – 119x = 10 – 11x What is different about these two equations?

Solving Equations with Variables on Both Sides 6 2. Practice 1. 8t – 11 = – 7t n – 8 = n n – 3n Write these down in your notes

Solving Equations with Variables on Both Sides 6 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 Sides 6 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 + 97x + 5

Solving Equations with Variables on Both Sides 6 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 Sides 6 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 l = 12l Write algebraic model l = 12l 24 = 4n n = 8 Subtract 8l from each side. Combine like terms. Divide each side by 4 then simplify. – 8l __ 4 4