Types and Properties of Real Numbers
What is the difference between Whole Numbers and Integers?
Integers include negative numbers
Identify the coefficients, the variable, and the constant term.
`2x^2 -3x +76`
Coefficients: 2, -3
Variable: x
Constant Term: 76
What is a formula?
An equation that relates two or more quantities
What is a compound inequality?
Two simple inequalities joined by "and" or "or"
How many solutions do absolute value equations have?
two
Identify the property:
`17 * 1/17 = 1`
Inverse Property of Multiplication
What does it mean to simplify an algebraic expression?
Combine like terms
Solve the formula for r
`C = 2\pi r `
`r = C/(2\pi `
Solve the inequality:
4x + 9 < 25
x < 4
Solve |x-5|=7
x = -2, x = 12
Identify the property:
3a + 7a = (3 +7) a
Distributive Property
Simplify the expression:
`25x + 14 - 17 - 6x`
19x - 3
`y = -7/4 + 9/4x`
Solve the inequality and express the answer in interval notation:
`-4 < 6x-10 <=14`
(1, 4]
Solve
`|2x+5|=3x`
x = 5
Identify the properties:
60 + 0 = 60 = 0 + 60
Commutative Property of Addition
Identity Property of Addition
Simplify the expression:
`6(n-2) -8n+40`
-2n + 28
Solve 3 = 2xy - x for y.
`y = (3+x)/(2x`
Solve the inequality and express the answer in interval notation:
`18+2x<=9x+4`
`[2, oo)`
Solve
`|4x+5|>13`
`x < -9/2 or x >2`
Draw a diagram that shows the relationship between Whole Numbers, Integers, Rational Numbers, Irrational Numbers, and Real Numbers
Diagram
Simplify the expression:
`5(2b+3)+8(b-6)`
18b-33
Solve 4y - xy = 28 for y
`y = 28/(4-x`
You have $50 to spend at a county fair. You spend $20 for admission. You want to play a game that costs $1.50. Write an inequality that describes the possible number of times you can play the game.
`20 + 1.50 g<=50`
A regulation basketball should weigh 21 ounces with a tolerance of 1 ounce. Write an absolute value inequality describing the weights of basketballs that are acceptable.
`|x-21|<=1`