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.
Your mom bought 7 t-shirts for a total of $90.93. Each t-shirt cost the same amount. How much did each t-shirts cost?
n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99
4(y - 2) = -13 - y
y = -1
Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler 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.
Kaci goes to the grocery store and purchases 17 packs of crackers and a $2.97 jar of peanut butter. Her total cost was $34.76. What was the cost for a pack of crackers?
c - cost of a pack of crackers 17r + 2.97 = 34.76 c = 1.87 Each pack of crackers cost $1.87
2(k + 12) - 9k = 12 - 7k
no solution
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.