Solving by Combining Like Terms
Graph:
x < 15
See Board
Solve for a
ab = c
a = c/b
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.
Graph:
-8 < x
See Board
Solve for x
x + 4y = 3
x = -4y + 3
Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?
n - # of t-shirts
7n = 90.93
n = 12.99 Each t-shirt cost $12.99
Solve and Graph:
2x < 18
x < 9
See board for graph
Solve for x
2x - 6y = 4
x = 3y + 2
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.
-2(x - 9) = 2(2x+3)
x = 2
Solve and Graph:
-4x + 6 < -10
x > 4
See board for graph
Solve for b
A = 2bh + 3
b = (A - 3)/2h
Mr. Bucci 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
-13(4 + 2a) + 10 = 208 - a
a = -10
Solve and Graph:
-2 (x - 9) > 6x + 4 - x
x < 2 or 2 > x
See board for graph
Solve for c:
3abcd = e
c = e/3abd
Mr. Campbell had $60 to spend on candy. After buying 150 pieces of candy, he had $22.50 left over. Write the equation and solve for how much each piece of candy was.
60 = 150c + 22.50
c = $.25 for each piece of candy