Vocab
A letter used to represent an unknown is called
five more than a number
x+5
The exponents of the variables must be either ________ or ________ in order to be considered linear
1 or 0
x+5=10
x=5
If Santa eats some cookies, but leaves 1.5 on the plate.
Define your variable
EX: Let x be # of cookies
A comparison of two expressions is called
An equation
Twice a number subtracted from 15
15-2x
Is the following expression linear?
5x2+3
Why or why not?
No, because the exponent of the variable is NOT one or zero
2x+5=25
x=10
4x+2=2x+6
Yes
The number in front of the variable is called
A coefficient
The reciprocal of a number
1/x
5x+32
Yes, because the exponent of the variable is one or zero.
x2 = 64
x=8
What is it called when you turn 3x+4x into 7x
combining like terms
Define Consecutive
In a row or one right after the other
The square of the sum of a number and 2
(x+2)2
1/x + 15x
No because 1/x = x-1
3(2x+15)=45
x=5
x+x+1+x+2 is an example of
consecutive integers
Define constant
a fixed quantity or number
Sam has some money. If she earns $27, she will have double the amount of money that she started with.
x+27=2x
The quotient of x5 and x4
Yes, because this expression simplifies to x1 or just x
1/2(8x+32)=24
x=2