Algebraic Expressions
Properties
Simplify
Evaluate
The Real Numbers
100
Write an algebraic expression for the following word phrase: "a number n divided by 4"
What is n/4
100
Which property is illustrated by (5+8)+11 = 5+(8+11)?
What is Associative Property of Addition
100
Simplify the following expression: review problem 6
What is 12
100
What does it mean to evaluate an expression (i.e. what are the two steps)?
What is 1.) substitute and 2.) simplify
100
Choose the correct word to complete the following sentence: A rational number is (always, sometimes, never) an irrational number.
what is never!
200
Write an algebraic expression for the following word phrase: "2 less than the product of 5 and n"
What is 5n-2
200
Are the two expressions equivalent: 7+11x = 11x + 7? Explain.
What is yes, by the Commutative Property of Addition.
200
Simplify the following expression: review problem 8
What is 6
200
Simplify the following expression: review problem 11
What is 3
200
To which subset(s) of real numbers does the square root of 105 belong?
What are the irrational numbers
300
Write an algebraic expression for the following word phrase: "17 more than the product of 3 and x"
What is 3x+17
300
Simplify the following expression and justify each step: (4+8x)+12
(4 + 8x) + 12 Given (8x + 4) + 12 Comm. Prop. of Add. 8x + (4 + 12) Assoc. Prop. of Add. 8x + 16 Simplify
300
Simplify the following expression: review problem 10
What is -12
300
Simplify the following expression: review problem 12
What is 256
300
To what subset(s) of real numbers does 1 and 7/8 belong?
What are the rational numbers
400
Write an algebraic expression for the following word phrase: "the quotient of 10 and x minus 4"
What is (20/x)-4 or 20/(x-4)
400
Simplify the following expression and justify each step: 9(x)(0).
9(x)(0) Given 0 Zero Prop. of Mult.
400
Simplify the following expression: review problem 5
What is 24/7 or about 3.43
400
Simplify the following expression: review problem 13
What is 9
400
To what subset(s) of real numbers does 20/5 belong?
What are natural numbers, whole numbers, integers, and rational numbers
500
Write the word phrase that represents the following expression: -2 + 3x
What is -2 more than the product of 3 and x
500
Simplify the following expression and justify each step: 6+[x+(-6)]
6+[x+(-6)] Given 6+[(-6)+x] Comm. Prop. of Add. [6+(-6)]+x Assoc. Prop. of Add. 0+x Simplify x Identity Prop. of Add.
500
Simplify the following expression: review problem 7
What is 92
500
Simplify the following expression: review problem 14
What is 7903
500
First, name the subset(s) of real numbers to which each number belongs. Then order the numbers from least to greatest. square root of 25, -9/2, -9/3
square root of 25 = naturals, whole numbers, integers, rationals -9/2 = rationals -9/3 = integers, rationals -9/2, -9/3, square root of 25