Express in simplest form, without negative exponents.
1.
2.
3.
4.
5.
6.
7.
8.
For #9-10, simplify the expression on the left, write a new equation involving x, and solve for x.
9.
10.
" Worksheet 7.0"
ANSWER KEY FOR
1. 3k7
3.
Name:_
CommonFactorsandMultiples
Goff33
Factors and Common Factors
Key Points:
1. Find factors of one number using a T-chart
2. Find factors of the other number using a T-Chart
3. List the numbers that show up in BOTH lists
12and24
CommonFactors:_
48and
Divisibility Rules
Easily test if one number can be evenly divided by another
Divisible By
Example, 14 is divisible by 7, because 14+? = 2 exactly 2
But 15 is not divisible by 7, because 15+7 = 2 1[7 (ie, the result is not a whole number) '
The Divisibili
Felix Li
Write exponents and evaluate expressions with zero and integral exponents
If a number is in _ form, the _
represents how many times the _is to be used as a factor. A number produced by
raising a base to an exponent is called a _. Both 27 and 3 3
Name:_
DO NOW:
93 = _
Which expression equals 235?
A. 2 x 12 3 + 2
B.
( 3
3
1
+ 3) 10
= _
2
6
C. ( 2
D. 2 x
Lesson: _
3
- 6 x (12 9)
x 3 + 20) -
4
3
2
83 - 789
Date: _
We are learning how to use divisibility tests for the numbers 1-12. (But first, we are
Math 9
Divisibility Rules
ANSWERS
Lesson 1
Name Mr. van Raalte
1. Is the number divisible by 2?
a) 4216 YES( EVEN)
b) 739 NO(ODD)
c) 52 814 YES( EVEN)
2. Is the number divisible by 3?
a) 457- NO(16)
b) 8391 YES(21)
c) 79 284 YES(30)
3. Which numbers in ex
Understanding Powers WS #2
Name_Block:_Date:_
Warm Up:
1. Rewrite 24 23 as repeated multiplication. _
2. Rewrite (5)(5)(5)(5) as a power. _
3. You start with one pencil and every day the number of pencils you have doubles. How many pencils
do you have on
Name: _
Algebra I
CW A
Types of Numbers
Date: _
Class: _
TRUE OR FALSE
_
1. 0.547 is a rational number.
_
2. -4 is a whole number AND an integer.
_
3. 0. 6 is an irrational number.
_
4. All natural numbers are whole numbers.
5. Name a real number that is
Mathematics 9
Exponent Rule Errors
Youre the Teacher!
Exponent Rules
The following exponent rule questions come with answers but the answers are not correct! Your task is
this: for each of the following questions
a) FIND the error(s).
b) Explain the error
3 CUBE ROOT
the cube and Cube Root
x
x
Consider X as the cube root and Y as the cube.
To cube a number, multiply it 3 times.
If X=2, the cube of 2 would be 2x2x2=8
If X= 4, the cube of 4 would be 4x4x4=64
If Y=27, the cube root would be 3 because
3x3x3=27
Name: Date:
MATH PROCEDURES DO NOW Section:
1) Take out your notes from yesterday, “Common Factors.”
2) The following numbers are not prime, but composite. Find a factor pair that proves
each number is composite:
80
65
57
91
117=
L:\2009-2010\Numeracy Not
Complete the table.
0006000
gim‘g‘;
; 2f
#5“ - hm”: “
ma’§%2§s$¥5
1. How did you know how to fill out the Standard Number column? Was there a pattern in the
numbers? I?“ We»; (.3.an A @449 mm 5%? MW W67 ym
gtz
Mr.Belvedere
Math9
Name:_
SquareRootsWorksheet
1. Calculatethefollowingsquarerootsusingyourcalculator:
a.
25
d. 9
g. 64
16
e. 4
h. 100
36
f. 49
i. 81
b.
c.
2. Calculatethefollowingsquarerootsusingyourcalculator:
a.
0.25
d. 0.09
g. 0.64
0.16
e
Prove to me that 3-2 is or is not the same as 1/9.
Prove how you know (23)4 is or is not the same as 212
Solve the following word problems (2 points each)
a. The length of a rectangle is 12x3y4z3 cm and the width is 3x2y3z2 cm. What
is the area of the rec
Name_ Date_ Period_
DIVISIBILITY RULES
Directions: Is the number at the top of the chart divisible by the number to the left of each row. Write yes or no.
Name_ Date_ Period_
DIVISIBILITY RULES
Directions: Is the number at the top of the chart divisible b
Understanding Powers WS #1
Name_Block:_
Date:_
Review: A fancy way to write repeated multiplication is to use
an exponent.
Power - an expression
made up of a base and an
exponent
Exponent tells you how many
times the base number is
multiplied together.
42
Real Number System
Name _
1 Which is an irrational
number?
5 Which of the following
describes the set of
rational numbers?
A 0.81
B
2
C 9.02
D 9.02
A Rational numbers include
only positive integers.
B Rational numbers is the set of
all numbers that can be
Name: _
[ FACTORS]
Goff 33
GCF Word Problems
Do Now
Find the GCF of 24 and 60
Find the GCF of 18 and 36
Find the GCF of 28 and 42
Lesson: Greatest Common Factor Word Problems
Example: Adam and Jocelyn are decorating the gym for the school
Keywords:
dance.
Lesson
Looking for Greatness
1)
What common factor of 12 and 30 is the greatest?
2)
What common factor of 48 and 80 is the greatest?
1)
Find the greatest common factor of 25 and 30.
Greatest common factor:
2)
Find the greatest common factor of 42 and 24.
Name_ Period _ Date_
Exponents: Positive and Negative Bases
For problems 1 6, match the problem with its equivalent.
1. (12) 4
A. 12 12 12 12
2. 124
B. 12 12 12 12
3. 124
4. 6 5
5. 6 5
6. (6) 5
C. (12) (12) (12) (12)
D. 6 6 6 6 6
E. 6 6 6 6 6
F. (6) (6) (