Laws of Exponents
(x4y3)(-3x2y)
-3x6y4
(4+7)+3 = 4+(7+3)
Associative Property
A horizontal line
Zero Slope
An equation is not linear if...
It has an exponent other than zero or one.
What is 675,000,000 written in scientific notation?
6.75x108
(15x6y4)
_______
(3x2y)
5x4y3
x(y+z)=xy+xz
Distributive Property
A vertical line
Undefined Slope
Solve for m:
m
__ + 3 =12
4
m=36
Suppose the measure of two adjacent angles that form a straight line are x and 3x. Determine the value of x.
x=45
Rewrite using a positive exponent: x-3
__
x3
a+(b+c)=a+(c+b)
Commutative Property
3x+y=9
y=-3x+9
Solve for p:
2(p+12)=8p+18
p=1
Translate into a mathematical expression: "Five less than twice a number"
2x-5
(2x3y4)2
4x6y8
4+(-4)=0
Additive Inverse
Jack earns $18 per hour and a bonus of $20 at the end of the week. Write an equation to determine how many hours, h, Jack needs to work to earn $164.
18h+20=164
How many solutions will the equation 5x+8=5x-2 have? Explain how you know.
No solution because the variable has the same coefficient, and the constants are different.
Determine the volume of a cylinder, in terms of pi, whose height is 10in and diameter is 24in.
V=1440pi
(4x2y3)2
_________
8x3y2
2xy4
a x 1 = a
Multiplicative Identity
Write an equation of the line that passes through the points (0,4) and (2,10).
y=3x+4
Is the following set a function: {(12,4), (9,5), (12,9)}
Explain why or why not.
No because the x-value repeats itself.
Determine the height of a cylinder whose volume is 32pi and diameter is 4.
h=8