Transcript 1.1: Do Now

Do Now: Real World Application
1.) You work 10 hours and earn $85.
What is your earning rate?
2.) You travel 10 miles at an average
speed of 45mph. How many hours does
the trip take?
3.) You drive 3 hours at 65 mph. How far
did you drive?
Algebra II
1.1: Apply Properties of Real Numbers
Summer Packets: Must be turned in Monday.
Quiz 1.1-1.4: next week Thursday
Vocabulary
• Real numbers consist of rational and
irrational numbers.
• A rational number is any number that can
be written as a fraction. An irrational
number cannot be written as a fraction.
Vocabulary
• Terminating decimals and repeating
decimals are rational. Decimals that have
no pattern and do not end are irrational.
• Two subsets of rational numbers are
whole numbers (0, 1, 2, 3, 4…) and
integers (…-3, -2, -1, 0, 1, 2, 3…).
Inverse Operations
• What are inverse operations? Give
examples.
Reciprocal
• What is a reciprocal? When is it
used?
Convert the rate
1.) 350 feet to yards
2.) 7 quarts to gallons
note:
4qt = 1 gal
Convert the rate
3.) 20 mi/h to feet per second
4.) 50 km/h to miles per hour
note: approx.
1.61 miles = 1 km
Algebra II
1.2: Evaluate and Simplify Algebraic
Expressions
• What is an expression?
• What is a variable?
• What is a power? What are the two
parts of a power?
• What is a coefficient?
• Give an example of like terms.
• Give an examples of terms that are not
like terms.
Evaluate the power.
1.) 23
2.)
5.) 2 4
 2
3.)  2
6.)  2 4
3
7.)  2
3
4.)   2 
3
4
8.)   2
4
Simplify the expression
1.) -9x – 4x + 5
2.) -15x + 7 – 10 + 20x
3.) 7(x – 3) – 4(x + 5)
Simplify the expression
4.) 10m 2  3n  8  3m 2  3n  3

 
5.) 3 x  2 y  5  y  4 x
2
2

Evaluate the expression for the
given value of the variable.
1.) -10x + 15 when x = 2
2.) 5j – 3j(5) when j = 10
Evaluate the expression for the
given value of the variable.
3.) 8m  2m  9 3 when m = 6
4.) 2 x 4  4 x 3 when x = -1