Real Number System
Properties
Evaluating Expressions
Square Roots Area/Perimeter
100
Tell whether the number is a real number, a rational number, an irrational number, an integer, or a whole number.
7
7 is a whole number.
7 is an integer.
7 is rational because it can be written 7/1.
7 is a real number.
100
Identify the property being illustrated.
2a + (-2a) = 0
Additive Inverse
100
Evaluate the expression when x = 2.1 and y = -3.2
x - y - 3.4
1.9
100
Approximate the square root to the nearest integer
sqrt(18)
4
200
Tell whether the number is a real number, a rational number, an irrational number, an integer, or a whole number.
-0.5
-0.5 is rational because because it can be written as -1/2. It is also a real number because all rational numbers are real numbers.
200
Identify the property being illustrated.
5*1/5=1
Multiplicative Inverse
200
Evaluate the expression when x = 2.1 and y = -3.2
abs(y)-x
1.1
200
Approximate the square root to the nearest integer
-sqrt(150)
-12
300
Tell whether the number is a real number, a rational number, an irrational number, an integer, or a whole number.
sqrt(20)
Irrational because it cannot be written as a fraction.
Square roots of non-perfect squares are irrational.
300
Identify the property being illustrated.
4(x - 7) = 4x - 28
Distributive Property
300
Evaluate the expression when x = 2.1 and y = -3.2
abs(y - x)+ 2
7.3
300
Approximate the square root to the nearest integer
sqrt(35)
6
400
Tell whether the statement is true or false. If false, provide a counterexample.
If a number is positive, then its opposite is negative.
TRUE.
For any positive number, its opposite will be negative. a + (-a) = 0.
400
Identify the property being illustrated.
(x*1/4)*8 = x * (1/4*8)
Associative Property of Multiplication
400
Evaluate the expression when x = 100
4- sqrt(x)
-6
400
Find the area and perimeter of the rectangle with the given dimensions.
Perimeter: 4x-4
Area:3(2x -5) = 6x - 15
500
Tell whether the statement is true or false. If false, provide a counterexample.
If a number is an integer, than the number is an irrational number.
FALSE.
For example, 5 is an integer but is rational.
5 is an integer but not irrational.
500
Identify the property being illustrated.
x + (-y) = -y + x
Commutative Property
500
Evaluate the expression when x = 25
3sqrt(x)-5
10
500
Find the area and perimeter of the rectangle with the given dimensions.
Perimeter: 6x+22
Area: 4(7 + 3x) = 28 + 12x