Real Numbers
Provide an example of a Natural Number.
{1, 2, 3, 4, 5, ...}
Solve this equation.
2(2x+5)+5(x-7)=5(3x+1)
x=-5
Simplify this expression. Make sure all exponents are positive.
x3 * x6
x9
What is the slope and y-intercept of this linear equation?
y=-3x+5
m=-3
b=5
Find f(2).
f(2)=0
Provide an example of a Whole Number.
{0, 1, 2, 3, 4, 5, ...}
Solve this equation.
5|1-x|-15=0
x=-2 or x=4
Simplify this expression. Make sure all exponents are positive.
x2/x5
1/x3
Find the x-intercept and y-intercept of this linear equation.
2x-4y=8
x=4
y=-2
Find f(0).
f(0)=-1
Provide an example of an Integer.
{... -3, -2, -1, 0, 1, 2, 3, ...}
Solve this inequality.
-4x+3<19
x>-4
For a bonus, express this solution on a number line.
Simplify this expression. Make sure all exponents are positive.
(4x3y)2
16x6y2
Convert this equation into Slope-Intercept Form.
6x+3y=-12
y=-2x-4
What is the Domain?
[0, 5)
Provide an example of a Rational Number.
{a/b: a, b are integers and b does not equal zero}
Solve this inequality.
-2|x-4|+11>-3
-3<x<11
For a bonus, express this solution on a number line.
Simplify this expression. Make sure all exponents are positive.
(2j2k5)(3j7k3)
6j9k8
Convert this equation into Slope-Intercept Form.
y-3=-7(x-1)
y=-7x+10
What is the Range?
[-1, 5)
Provide an example of an Irrational Number.
Infinite decimal that does not repeat
A car can be rented from Company A for $80 a day plus $0.90 per mile. Company B charges $100 a day plus $0.50 per mile to rent the same car. How many miles must be driven in a day to make the rental cost for Company A a better deal than Company B's?
Less than 50 miles must be driven in a day for Company A to be a better deal than Company B.
Simplify this expression. Make sure all exponents are positive.
6x3y8/3xy7
2x2y
Write an equation of a line in Slope-Intercept Form passing through (-2, 5) and parallel to the line y=3x+1.
y=3x+11
Find f(5).
f(5) is undefined.