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Solving Word Problems Algebraically This is probably the most difficult stuff you’ll have to do. There is no special routine to follow to guarantee you’ll get them correct every time. I will give you some steps to follow that will make it a bit easier We will use the following example: Two consecutive whole numbers add to 43. What are the numbers? Step 1: Read and re-read the question like 10 times! Read it slowly. Figure out what is given and what you need to find. Given: Sum = 43 Find: two consecutive whole numbers (consecutive means one after the other) Step 2: Identify the variables(make the unknown = to x). Usually developed by what you are being asked to find (two consecutive whole numbers). Let x = the first number Let (x + 1) = the second number Step 3: Make an equation. Usually developed by what you are given. Sum = 43 First # + Second # = 43 x + (x + 1) = 43 Step 4: Solve for the unknown variable x + (x + 1) = 43 2x + 1 = 43 2x = 42 x = 21 Step 5: Write a concluding sentence the two numbers are 21 and 22 (x + 1 = 22) Try These 1. Five more than twice a number is 93 Step 1: What is given? What do you need to find? Step 2: Identify the Variable(s) x = a number Given: Total = 93 Find: a number (times 2 + 5) Step 3 and 4: Make an Equation and Solve for the variable 2x + 5 = 93 2x = 88 x = 44 Step 5: Write a concluding statement answering the question. the number is 44 2. The length of a rectangular garden is 6m more than twice its width. The perimeter of the garden is 36m. What are the dimensions of the garden? Step 1: What is given? What do you need to find? Given: P = 36. I also know that P = 2(l + w) Step 2: Identify the Variable(s) w = width l = 6 more than twice the width = 2w + 6 (given to us) Find: length and width Step 3 and 4: Make an Equation and Solve for the variable P = 2(l + w) 36 = 2(2w + 6 + w) 36 = 2(3w + 6) 36 = 6w + 12 24 = 6w 4=w Step 5: Write a concluding statement answering the question. the width is 4m and the length is 14m (2w + 6 = 2(4) + 6 = 14).