Variables on One Side
5h + 2 + 2h = 23
h = 3
3m-10=-16+m
m=-3
(x-7)/8<0
x<7
|x+9|=14
x = 5, -23
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.
2x+7=51
x = 22
-6(v+1) =-7v-12
v = -6
-328 > -8(-1+6x)
7<x
-2|x/8|=-2
x = 8, -8
Ms. 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 Ms. Cushman buy?
n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99
3(x+7)-5 = 37
x = 7
3t+4(8t+6)=-18-7t
t = -1
-8+8n<-72 or 9n+6>6
n<-8 or n>0
-1|7x-4|=-40
x = 0, 8/7
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.
(6x+3)/5=15
x=12
-8+4x=3x-8(1+4x)
x = 0
3x-1>-25 and -7-2x>-23
-8<x<8
-10+7|x+4|=18
x=0, -8
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
(6x/5)+8=14
x=5
-7(5 + n) = -35 -7n
All Real Numbers
72<8x+8<64
No Solution
|x-10|/2=-3
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.