Distributive Property
2(x + 5) = 14
x =2
5h + 2 + 2h = 23
h = 3
-2x+3=3-2x
Many Solutions
WRITE AN EQUATION: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
j+3=11
5(d - 2) = 40
d =10
3b + b - 8 = 4
b =3
x+2x+7=3x-7
No Solutions
Write an equation: 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?
7s=90.93
7(4 - t) = -84
t = 16
3a + 12 - 6a = -9
a= 7
4(2x+1)=5x+3x+9
No solutions
Write an equation: 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?
4b-3=109
-2(x - 9) = -24
x = 21
-6 = -3y + 4 + 5y
y = -5
3x-x+4=4(2x-1)
1 1/3
Write an equation: 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.
17r+2.97=34.76
-13(4 + 2a) = 208
a = -10
78 = 3c + 12 - c + 4
c = 31
1/2(2-4x)+2x=13
No Solutions
Store number 1 is selling lanyards for $5 each with $3 shipping per order.
Store number 2 is selling lanyards for $6 each with free shipping.
Write an equation that shows how many lanyards you need to buy to spend the same amount of money.
5x+3=6x