Variables
A variable is __________
An unknown number
At the local bakery, it costs $3 per cupcake, plus $12 for delivery.
3x + 12
True or False: In Algebra, you can only combine variables that are the same. You cannot combine unlike terms - such as x + y.
Define "coefficient"
the number attached to the variable with multiplication
What is a common factor of 2 and 8?
2
True or False: Variables can only be x's and y's.
False
True or False: An expression has an equal sign.
False
x + x + x + x = ?
4x
Define "variable"
A letter that represents an unknown number
We can find factoring by using what methods?
Factor tree, factor bush, factor list
Identify the operation:
xy
multiplication
The drive to Sioux Falls is 5 hours. The drive to Laramie, Wyoming is 4/5 of the distance.
5 x 4/5
Simplify the expression
2y + 3x - 7 + 2
2y + 3x -5
Define "constant"
A number that is not attached to a variable, a stand alone
List all the factors of 24
1, 2, 3, 4, 6, 8, 12, 24
Why do we use variables in math?
To represent unknown numbers. We can solve for the unknown.
5,000 - 35x
Simplify the expression:
2(3x + 4) - 2x + 5y
4x + 5y + 8
Define "expression"
A math sentence that includes numbers and operations, sometimes variables. No equal sign
What are the negatives about using a factor tree?
It doesn't give you all of the factors. You should always list them out and double check.
Identify the operation(s):
2(x + 3)
multiplication/distribution and adding
An expression MUST have what 2 things?
Numbers and operations. It can, but doesn't have to have, variables as well.
Simplify the expression:
2x + 3z - 2y + 3(4x - 1) + 3z
14x + 6z - 2y -3
Define "term"
relationships