Solving by Combining Like Terms
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.
Mr. Stone bought 7 Taylor Swift t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Taylor Swift t-shirts did Mr. Stone buy?
n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99
Cruz has 4 boxes of apples. Each box has the same number of apples. After Cruz eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?
a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.
Mr. Stone goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?
r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87
When you count by ones from any integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?
n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.