Algebraic Expressions
Write an algebraic expression for the following word phrase: "a number n divided by 4"
n/4
Which property is illustrated by
(5+8)+11 = 5+(8+11)?
Associative Property of Addition
Set or not a set? : Set of well-groomed high schoolboys
Not a set
What does it mean to evaluate an expression (i.e. what are the two steps)?
1.) substitute and 2.) simplify
A submarine was spotted at the surface of the sea. If it submerged 50 feet per minute, what will be its position from the surface after 4 minutes?
200 ft. below sea level
Write an algebraic expression for the following word phrase: "2 less than the product of 5 and n"
5n-2
Are the two expressions equivalent: 7+11x = 11x + 7? Explain.
Yes, by the Commutative Property of Addition.
Give the universal set for {2, 4, … 28, 30}.
Set of even numbers less than 32
Simplify the following expression: -3p + 10 if p = -2.
16
To which subset(s) of real numbers does the square root of 105 belong?
irrational numbers
Write an algebraic expression for the following word phrase: "17 more than the product of 3 and x"
3x+17
Simplify this expression: (4+8x)+12.
8x + 16
Identify which number does not belong to the group:
-8, 0, √64, -√25, 1/2. Explain why.
1/2, because the other 4 numbers are integers
Simplify the following expression: What is the square root of 169?
13
To what subset(s) of real numbers does 1 and 7/8 belong?
rational numbers
Write an algebraic expression for the following word phrase: "the quotient of 20 and x minus 4".
(20/x)-4 or 20/(x-4)
Simplify the following expression: 9(x)(0).
Identify the set of numbers that are described below:
S = {the real numbers greater than -3 and less than 5}
S={-2, -1, 0, 1,2,3,4}
Simplify the following expression: 1/2x + y if x = 4 and y= -3.
-1
To what subset(s) of real numbers does 20/5 belong?
natural numbers, whole numbers, integers, and rational numbers
Write the word phrase that represents the following expression: -2 + 3x.
-2 more than the product of 3 and x
Simplify the following expression: 6+[x+(-6)].
x
Identify the set of numbers that are described below:
A = {set of real numbers between -1 and 9}
A = {0, 1, 2, 3, 4,5, 6, 7, 8}
Simplify the following expression: √ 4a - bc.
-26
Arrange 18, -20, -4, 1- and 0 in increasing order
-20, -4, 0, 10, 18