where
applicable:
Standard 1.0
Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences. In addition, algebraic skills and concepts are developed and used in a wide variety of problem-solving situations.
Students identify and use the arithmetic
properties of subsets of integers and rational, irrational, and real numbers,
including closure properties for the four basic arithmetic operations
where
applicable:
Students use properties of numbers to demonstrate whether assertions are true or false.
RQ***
1== Is the equation 3(2 x− 4) =−18 equivalent to 6 x−12 = −18?
Yes, the equations are equivalent by the Associative Property of Multiplication.
Yes, the equations are equivalent by the Commutative Property of Multiplication.
Yes, the equations are equivalent by the Distributive Property of Multiplication over Addition.
No, the equations are not equivalent.
2== Select the property that makes the following true: 2x + 10 = 2(x + 5)
3== Determine if the following is true or false, and justify the answer with a property. - 3(x - 2) = - 3x – 5
*
4= Which set(s) of numbers is not closed under subtraction?
a) the set of whole numbers
b) the set of counting numbers
c) the set of integers
5= What is the best classification for –2
whole number, integer, real number
integer, rational number, real number
irrational number, real number
rational number, real number
6= What is the best classification for –0.4?
whole number, integer, real number
integer, rational number, real number
rational number, real number
irrational number, real number
7= Which of the following square roots is an irrational number?
8= Which of the following statements is false?
The product of two integers is an integer.
The sum of two integers is an integer.
The difference of two integers is an integer.
The quotient of two integers is an integer.
9= Which of the following mathematical statements illustrates the commutative property of multiplication?
10= What set of numbers is closed under division?