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
Dec 29, 2015
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
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.
34
BaseExponent
34= 3 x 3 x 3 x 3
Multiplying with Exponents Rule: When multiplying like bases, add
the exponents. So and
m n m na a a
52 123 175f f f71 3
8 842 3 6w w w
3 5 5 3 5 1 5 8 63 4 12 12y z y z y z y z
Multiplying Exponents
nm mna aRule:
53 3 3 3 3 3 3 5 15x x x x x x x x
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.
mm n
n
aa
a
543543 215 328
215
kk k
k
259
16
12 3
20 5
ss
s
52
3 1
r rrrrr rrrrr rrr
r rrr rrr
Negative Exponents
Notice what happens with the example 3
3 6 3
6 3
1 1h hhhh h
h hhhhhh hhh h
This leads to another rule.
Rule:
1 1 and n n
n na a
a a
When the Power is Zero
Rule: Anything to the zero power is 1.
0 1a
33 3 0
3
xx x
x or all cancel for
an answer of 1.
ExamplesSimplify each expression.
34 88)1 52)2 yyy 25323 ))()(3 baba
5
24
4)4
24)7 6
2)5x
x7
52
5
)6qp
qp
3)8 m 1)9 ab 0)10 p
You trySimplify each expression.
42 55)1 523)2 yyy 2642 ))()(3 nmmn
6
27
7)4
22)7 7
2)5a
a3
22
4
)6yx
yx
4)8 y 23)9 c 03)10
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?
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?
23462 ))()(1 baba
3
2
3
4
4)2
x
x