vocabulary
Something that is added or subtracted in an expression.
Ex: in 3x + 4y - 2, these are 3x, 4y, and 2
What is a term?
Is 4 a solution to
4 - x = 0?
Yes
3x = -27
(you MUST show your work)
x = -9
-6x = -36
(you MUST show your work!)
x = 6
(3/7) times (1 3/5)
24/35
A letter that stands for a quantity that might change.
What is a variable?
When x=6, what is the value of
4 + 5(x-7)
-1
x + (-5) = -3
(you MUST show your work)
x = 2
x/5 = -1/2
(you MUST show your work!)
x = -5/2 or -2 1/2
Evaluate
5(x - 3) + 2^2
if x = 2
-1
Two expressions connected with an equal sign.
When x = 4, what is the value of
(x/8) + 1/4
(leave your answer as a fraction)
3/4
x - (-10) = 5
(you MUST show your work!)
x = -5
x - (-9) = -13
(you MUST show your work!)
x = -22
A term that is just a number (remember that numbers never change!).
What is a constant?
A value that, when used to replace a variable, makes an equation true.
What is a solution?
When x=-3, evaluate
-4x - 3(x + 2)
p + (4/5) = -3/4
p = -31/20 or -1 11/20
(-5/6)y = -3
(you MUST show your work!)
y = -18/5 or -3 3/5
The number that multiplies a variable
Ex: in 4x, this is 4
A mathematical "sentence" using numbers, letters, and operations that obeys the rules of math.
Ex: 3x + 2y + 3
What is an expression?
When x=-2, evaluate
(x-1)^2 + 3x + 1
4
(5/6)m = 4
(you MUST show your work!)
m = 24/5 or 4 4/5
m/(1/3) = 6
(you MUST show your work!)
m = 2
Write an equation for this word problem: After paying $2.30 for some Takis and a Coke, Fernando has $17.15. How much money did he begin with?
(use m for your unknown!)
m - 2.30 = 17.15