Number Types and Properties
1/4
Rational: 0.25 is a finite decimal (it has an end)
Evaluate the following using order of operations:
4 - 5 * 3
-11
Evaluate the following if x = -5
x2 + 3
28
Completely Simplify
3(2x - 7)
6x - 21
Write an algebraic expression to model the following:
The product of 3 and a number
ex: 3x
Completely categorize the following number:
The square root of 43
real, irrational
Evaluate the following using order of operations:
3(-2) + 52
19
Evaluate the following if x = -2 and y = 5
xy2 - 10
-60
Completely Simplify
3x - 4 + 5x - 1
8x - 5
Write an algebraic expression to model the following:
The sum of one-third of a number and five is twelve
1/3x + 5 = 12
Which property is being demonstrated?
4(x - 5)
4x - 20
Distributive Property
Evaluate the following using order of operations:
5 - (4 + 33) + 2
-24
Evaluate the following if x = -5 and y = 12
x2 + |3y - x|
66
Completely Simplify
4(-3x - 2) - 7x
-19x - 8
Write an algebraic expression to model the following:
The quotient of a number squared and negative twelve
x2/-12
Completely categorize the following number
50/10
Real, Rational, Integer, Whole, Natural
Evaluate the following using order of operations:
| -3 + 4(-2) | * -2
-22
Evaluate the following if x = -2
x3 + x2 + x - 2
-4
Completely Simplify
4(x - 2) - 3(x + 5)
x - 23
Write a verbal expression to model the following:
4 - 5x
Many possible
The difference of four and five times a number
The product of five and a number subtracted from four
Which property is being demonstrated?
3 + (-3) = 0
Inverse property of addition
Evaluate the following using order of operations:
|3 + (5 - 72)| + 18
59
Evaluate the following if x = -2 and y = -5
|x2 + y| + 3xy
31
Completely Simplify
-4x(x2 - 2x + 3)
-4x3 + 8x2 -12x
Write a verbal expression to model the following:
5x + 6 = 4x/3
Many:
The sum of five times a number and six is four-thirds of a number