Sets of Real Numbers
Which set of numbers includes whole numbers, positive numbers, and their opposites?
Integers
Communitive: Order doesn't matter
Associative: Grouping doesn't matter
Write the algebraic expression for "3 times the sum of a number and 4
3(x+4)
True or False. The solution to the equation 3(x−4)=15 x=9
TRUE
What is your house name?
Milwaukee
Which of the following is true about the set of irrational numbers?
A) It includes fractions.
B) It includes repeating decimals.
C) It includes non-repeating, non-terminating decimals.
D) It includes negative integers.
C
The commutative property of multiplication states that a⋅b=b+a for all real numbers a and b.
False
a*b=b+a
True or False: The expression
6(x+4)−3(x−2)
simplifies to 3x+18
False, 3x+30
If 3x+12=0, then x=____
x=-4
What do we wear on Mondays?
Taft Gear
Eagle Spirit Wear
Describe the difference between rational and irrational numbers. Provide an example of each.
Rational can be written as a RATIO/FRACTION: 0.5
Irrational cannot
Which property is demonstrated by the equation
3*(4+5)=(3*4)+(3*5)
Distributive Property
The greatest common factor (GCF) of the terms in the expression
12x^2-8x
is ____.
4x
Solve for x in the equation 7−2x=5x−14
x=3
Name the person 2 seats to the left of your seat.
Answers will vary
TRUE or FALSE
Irrational numbers are closed under multiplication.
Back up your response with an example or a counterexample?
FALSE. Multiplying 2 irrational numbers won't always result in an irrational number.
sqrt(2)*sqrt(2)=2
Describe the identity property of addition and give an example
The identity property of addition states that there is a number (0) which, when added to any real number, does not change the value of that number. For example, 7+0=7
The expression
5x^2+10x
factors into _____________.
5x(x+2)
x^2=25
Find the solution.
x=5 AND x=-5
Name an IB Profile Trait that starts with R.
Reflective OR Risk-Taker
Explain why the set of integers is closed under subtraction but not under division. Provide examples to support your explanation.
The set of integers is closed under subtraction because subtracting any two integers will always result in another integer.
But dividing won't always result in an integer. For example 1 divided by 2= 0.5
Explain the inverse property of multiplication and provide an example.
For every non zero real number, a number and its inverse = 1 when multiplied.
EX:
3/2*2/3=1
What is the product of (x−3) and (x+2)?
x^2-x-6
A=1/2h(a+b)
Solve for b:
b= (2A)/h-a
Name one of your assistant principles.
Mr. Flores
Dr. Hess
Ms. Bukhari
Ms. Covarrubias
Mr. Levins
Mr. Michelle