Prealgebra, Chapter 5 Fractions and Rational Expressions: 5.7 Order of Operations; Evaluating and Simplifying Expressions Objective 1: Use Order of Operations to simplify expressions containing fractions and
mixed numbers
• Remember the Order of Operations
• Parenthesis
o Start inside the parenthesis and follow O.O.O. inside as well
• Exponents/Square Roots
o left to right
o top to bottom
• Multiplication/Division
o left to right
o top to bottom
• Addition/Subtraction
o left to right
o top to bottom
•
•
Objective 2: Find the mean and median of a set of values
•
To find the arithmetic mean, or average, of a list of values
o Calculate the sum of the values
o Divide the sum by the number of values
•
To find the median of a list containing an odd number of values
Resource: Carson, T. (2009 ). Prealgebra – 3rd ed..
Prealgebra, Chapter 5 Fractions and Rational Expressions: 5.7 Order of Operations; Evaluating and Simplifying Expressions o Arrange the values in order from least to greatest
o Locate the middle value. It is the median
Objective 3: Evaluate expressions
•
To evaluate an expression
o Replace the variables with the corresponding given values
o Calculate using the Order of Operations
•
when
x=
,
y=
,
and z =
Objective 4: Find the area of a trapezoid
•
•
Trapezoid – A four-sided figure with one pair of parallel sides
Formula for area of a trapezoid
o A = h(a + b)
9
12
Objective 5: Find the area of a circle
•
•
r = radius
Diameter = 2 · r
•
•
π=
Formula for area of a circle
o A=π
Resource: Carson, T. (2009 ). Prealgebra – 3rd ed..
Prealgebra, Chapter 5 Fractions and Rational Expressions: 5.7 Order of Operations; Evaluating and Simplifying Expressions •
Find the area of a circle with a diameter of 5 meters
Objective 6: Simplify polynomials containing fractions
•
To combine like terms:
o Add or subtract the coefficients
o Keep the variables and their exponents the same
•
• ( h-
+
)–(
+
-
• (-
•
Resource: Carson, T. (2009 ). Prealgebra – 3rd ed..
Prealgebra, Chapter 5 Fractions and Rational Expressions: 5.7 Order of Operations; Evaluating and Simplifying Expressions •
(
)(
)
Resource: Carson, T. (2009 ). Prealgebra – 3rd ed..