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. Montan bought 7 Hannah Montana t-shirts for a total of $84.00. Each t-shirt cost the same amount. What was the cost of each Hannah Montana t-shirts that Mr. Montan bought?
n - cost of t-shirts 7n = 84.00 n = 12; Each t-shirt cost $12.00
3a + 12 = 6a -9
a = 7
Tyler has 4 boxes of apples. Each box has the same number of apples. There are 112 apples in total. How many apples were in each box?
a - # of apples in each box 4a = 112; a = 28 There were 28 apples in each box.
-6-3y = -3y + 4 + 2y
y = -5
-4(x - 9) = -2(x-15)
x = 3
evaluation the absolute value problems when
W=-3 and P=2
[-5P - W]
7
absolute value: [x+4]=5
x=1 and x=-9
Mr. Murphy goes to the grocery store and purchases 17 bags of raisins and a $2.25 jar of peanut butter. His total cost was $32.00. What was the cost for a bag of raisins?
r - cost of a bag of raisins 17r + 2.25 = 32.00; r = 1.87 Each bag of raisins cost $1.75
78-2c = 3(c + 4) - 3c + 4
c = 31
6n+10=10(n+1)-4n
infinitely many solutions
Evaluate the absolute value when
T=5 ; N=-2 ; and Y=-4
[3N + T] - Y
5
Proportion: (k+6)/2 = (k-3)/5
k = -12
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.