You have been given the following equation to solve as a challenge by your friend. Create a list of steps that you could follow to find the solution. Make sure to include all steps in the correct order.
5(x+3)–7(x–4)=38
Write a real-life situation to fit the following equation. Then, solve the equation in two different ways. Show all the steps. Finally, choose which solution method you liked best and explain your reason.
8(x+9)=144
Real-life situation: You have 8 friends and you want to buy them each 9 pieces of candy. You want to know how much money you need to buy the candy.
Solution 1:
Step 1: 8(x+9)=144
Step 2: 8x + 72 = 144
Step 3: 8x = 72
Step 4: x = 9
Solution 2:
Step 1: 8(x+9)=144
Step 2: 8x = 144 - 9
Step 3: 8x = 135
Step 4: x = 16.875
I liked the first solution method best because it is simpler and easier to understand.