Distributive Property
2(x+5) = 14
x = 2
2x + 3x = 10
x = 2
2x + 3x
5x
4x + 9 = 33
x = 6
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
S = J - 3
J = 11
S = 11 - 3
S = 8
3(x-5)=6
x = 7
4x - 8x = 12
x = -3
6x + 2
x + 3x = -8
x = -2
Mr. Caron bought 7 T-Swizzle t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many T-Swizzle t-shirts did Mr. Caron buy?
x --> # of t-shirts
7x = 90.93
x = 12.99
Each t-shirt cost $12.99
x = 1
2x + 6 = -2x + 2
x = -1
5x - 5 - 6x + 2 - 3x
-4x - 3
4(y - 2) + y = -13
y = -1
Mason has 4 boxes of apples. Each box has the same number of apples. After his buddy Fynn 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(2x - 3) = -26
x = -5
3x - 6x + 20 = 2x
x = 4
-5x + 4 - 2x + x + 5 - 2x
-8x + 9
-6(m + 1) + 18 = 24
m = -2
A bby goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. Her total cost was $34.76. What was the cost for a single 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
3(2x - 4) = 7(x + 2)
x = -26
5x - 2x + 3 + x = -4x + 9
x = 1
2(2x + 5) - (3x + 4) + 4x
5x + 6
7k - 8 + 2(k + 12) = 52
k = 4
When you count by ones fron many 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
3n + 3 = 48
3n = 45
n = 15
1st integer: 15 2nd: 16 3rd: 17