2 step
6x – 13 = 11
x= 4
A _____ is an unknown amount/quantity or value
A variable is an unknown amount/quantity or value.
3(2x - 9) = 3
x = 5
6m – 5m + 1
m+1
Julie is 3 years older than her sister. Julie's age is 11. How old is Julie's sister? AND What equation can you use to solve this?
x + 3 = 11
Her sister is 8 years old
3x + 5 = 14
x= 3
___ ___ have the same variable or exponent. We combine these together
like terms
3x + 4 + x + 2 = -30
x = -9
-6(4x - 5)
-24x + 30
We are at a Chicago Cubs baseball game. We buy 4 hotdogs and 1 drink. We spend a total of $17. If the drink costs $5, how much does one hotdog cost? AND What equation can you use to solve this?
4x + 5 = 17
One hotdog costs $3
2x+13=−8
x= -42
_________ are positive and negative whole numbers. Like -1, 0, 9, -4...
integers
2 +9(x-1) = 2
x = 1
9 -3d(6 + 9)
9 - 45d
or
-45d + 9
Noah and Kate are buying new guitar strings. Noah buys 2 packs of strings, Kate buys 2 pack of strings and a music book. The book costs $16. Their total cost is $72. What equation can you use to solve this? AND How much is one pack of strings?
2x + 2x + 16 = 72
One pack of strings costs $14
2x+5=10
x= 10
The difference between an expression and an equation
An Equals sign
2(x + 3) + 1 = 31
x = 12
4(5f + 3) + 11
20f + 23
You have a part time job. You work 3 hours on Friday and 6 hours on Saturday. You also receive an allowance of $20 per week. You earn $92 this week. How much do you earn PER HOUR at your part time job? AND What equation can you use to solve this?
3x + 6x + 20 = 92
You earn $8 per hour
3x−6=−3
x= 9
The name of the property that states that tells us a*b = b*a
The Commutative property of multiplication.
2x - 1 +2(x - 1) = - 7
x = -1
3(5x - 2) + 9x - 4
24x - 10
The freshman class is selling boxes of cookies to raise money. They purchased 50 boxes of cookies and paid a delivery fee of $25. The total cost, including the delivery fee, was $225. What is the cost of each box of cookies? AND What equation can you use to solve this?
50x + 25 = 225
Each box of cookies cost $4