Solving Multi-Step Equations and Using the Distributive Property Just remember to follow the steps: Distribute if you can Collect all like terms to simplify Isolate the variable using the opposite order of operations
3(2x + 5) = 34 6x + 10 = 34 Example #1 -10 -10 6x 24 6 6 x = 4 NOW SOLVE!!! -10 -10 6x 24 6 6 x = 4
Example # 2 15 – 4 ( y + 3 ) = 19 - 4y - 12 = 19 3 - 4y = 19 -3 - 3 1st Step: Distribute if you can 2nd Step: Collect like terms to simplify 3rd Step: Isolate the variable using the opposite order of operations 15 – 4 ( y + 3 ) = 19 - 4y - 12 = 19 3 - 4y = 19 -3 - 3 -4 y = 16 -4 -4 y = -4
Example # 3 - (12 x – 1) + x = 23 1st Step: Distribute if you can 2nd Step: Collect like terms to simplify 3rd Step: Isolate the variable using the opposite order of operations
Example # 3 1st Step: Distribute if you can 2nd Step: Collect like terms to simplify 3rd Step: Isolate the variable using the opposite order of operations 2( 4x + 3) – 5(2x – 1) = 27
- 4(8 + 5n) = 8
6(3x - 5) - 7x = 25
-2(5 + 6m) + 16 = -90
18x - (8x - 7) = 67
7w - 3(4w + 8) = 11
Six friends go to the movies Six friends go to the movies. Movie tickets are $5 and treats are $2 each. If all 6 friends bought the same number of treats, how many did each person buy if the total spent by all was $54? 1st Step: Distribute if you can 2nd Step: Collect like terms to simplify 3rd Step: Isolate the variable using the opposite order of operations 6(5 + 2x) = 54 30 + 12x = 54 -30 -30 12x = 24 12 12 x = 2