Do Now Solve each equation in your lecture notebook. Write out your steps!!!!! Without talking!!!!! 1) 3( z + 7) =123 2) 1/3(x – 6) = 6 3) 5y – 3y + 4 = 3y + 8 4) 6g – 5 = 7g + 7

Exponent Rules

Objective Students will be able to: 1) demonstrate their understanding of exponent rules and 2) solving word problems by correctly solving 2 exponent rule problems and 2 word problems at a basic level of proficiency.

2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents. California Standards

Definition of Exponent  An exponent tells how many times a number is multiplied by itself. 3 4 Base Exponent 3 4 = 3 x 3 x 3 x 3

Multiplying with Exponents  Rule:  When multiplying like bases, add the exponents.  So and

Multiplying Exponents Rule: Notice there is only one base. An easier way would be to multiply the 3 and 5 to get the new exponent of 15.

Dividing with Exponents  Rule:  When dividing like bases, subtract the exponents.

Negative Exponents Notice what happens with the example This leads to another rule. Rule:

When the Power is Zero  Rule:  Anything to the zero power is 1. or all cancel for an answer of 1.

Examples Simplify each expression.

You try Simplify each expression.

Solving Word Problems

Standard 5.0 Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.

“Word Problems scare me!” “Word Problems make me nervous!”

“Word Problems? I just skip them!”

Not anymore!!!!!!! Here are the steps: Step 1 – Panic: ok; don’t quit. Step 2 – Identify the problem. Step 3 – Organize the givens. Step 4 – Connect. Step 5- Solve.

Ex 1 : The length of a rectangle is 6 in. more than its width. The perimeter of the rectangle is 24 in. What is the length of the rectangle?

Ex 2 : Half a number plus 5 is 11. What is the number?

Ex 3 : The sum of three consecutive integers is 147. Find the integers.

You try : The sum of three consecutive integers is 48. Find the integers.

You try : A customer pays 50 dollars for a coffee maker after a discount of 20 dollars. What is the original price of the coffee maker?

You try : The dance club sold 200 concert tickets and collected $640. A student ticket cost $2 and an adult ticket cost $5. How many of each type of ticket were sold?

Exit Ticket 3) Carol collects car models. She buys 3 Camaro models that cost $23.50 each and 2 Mustang models. She spends a total of $110 on all the models. How much does each Mustang model cost? 4) Allen was looking over his finances and found that in 5 visits to Outback, he spent $52 on steak tacos. This amount includes $17 in tips. How much did each steak taco cost before the tip?