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 : 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 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.) 5.) 2.) 6.) 3.) 7.) 4.) 8.)

Simplify the expression 1.) -9x – 4x ) -15x + 7 – x 3.) 7(x – 3) – 4(x + 5)

Simplify the expression 4.) 5.)

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.) when m = 6 4.) when x = -1