Expressions
True or False: The following is an example of an algebraic expression
2 xx 2/(3*x^2)
True
What are the names of the properties that have Addition and Multiplication variants?
Commutative and Associative Properties
Fill in the blank: A relation is a set of ________ .
Ordered Pairs
Fill in the Blank: The 4 ways that we learned to represent relations are by Words, Equations, Tables, and _____ .
Graphs
Simplify the following expression:
4x - (2 + 5) * 2x
-10x
The Multiplicative Identity Property states what happens when a number is multiplied by ____ while the Multiplicative Property of Zero states what happens when a number is multiplied by ____ .
1, 0
Consider the relation {(2,3), (-1, 7), (2, 5)}. On your whiteboard, write the range of this relation.
{3, 7, 5}
On your board, represent the following relation as a table:
{(-3, 4), (-1, 3), (1, 2), (3, 1)}
*Solution on student's board.
Despite the presence of a variable, the following is not an example of an algebraic expression. Explain why.
y
There are no operators in the statement.
Name the following properties used to simplify this equation:
0 + 4x - (6x + 2)
The Multiplicative Identity Property and the Associative Property of Addition
Consider the sets D = {3, 5, -4} and R = {5, 9, 1}. On your whiteboard, state a relation that has set D as its domain and R as its range.
Hint: There is more than one answer.
*Multiple answers*
A possible answer is {(3, 5), (5, 9), (-4, 1)}
Represent the following scenario in an equation:
For every bottle of water, there are 12 ounces of water.
*Multiple Answers*
A possible answer: w = 12b
Simplify the following expression:
(0 * 4 + 4x - 2x)/(5 - 3)
x
Name the following properties used to simplify this equation:
(0 * 4 + 4x - 2x)/(5 - 3)
Multiplicative Property of Zero
Additive Identity Property
*Technically Commutative Property of Multiplication
(Not on Test) Consider the sets D = {2, 1} and R = {6, 5, 1}. On your whiteboard, state a relation that has set D as its domain and R as its range.
Hint: Sets do not care about duplicates
*Multiple Answers*
A possible answer is {(2,6), (1,5), (1,1)}.
(Not on Test) Represent the following relation as an equation:
{(-3, 4), (-1, 3), (1, 2), (3, 1), (5, 0)}
y = 2x + 5