Chapter 1 Material
Chapter 1 Material Write an equation from the Phrase.
Write an expression from the Phrase. 1) 7 more than n
1) 7 more than 4 times a number is 11.
2) The difference of n and seven
2) 15 plus the quotient of d and 4 is 13.
3) The quotient of n and 8 4) The product of c and 15
3) The Track One Media sells all CD’s for $12 each. Write an equation for the total cost of a given number of CD’s.
5) 2 times a number plus 5
4) The total cost of $25 times the number of DVD’s.
6) The quotient of 5 and twice a number 7) The product of m and 5, minus the quotient of t and 7. Write an equation from the table. Cost of Purchase
Change from 20
20
$0
19.00
$ 1.00
39
16.50
$ 3.50
52
11.59
$8.41
# of workers
# of radios
1
13
2
26
3 4
The Coordinate Plane You need to know how to …. 1) Label the quadrants and axes 2) Plot points (x,y) a) e (1,6)
b) f (-3,2) c) g (4,-1) d) h (-2,-3)
3) Identify points a) a
b) b
c) c
d) d
Scatter Plots and Correlation Scatter plot:
1.2 Exponents and Order of Operations
What does it mean to Simplify ?
What does it mean to evaluate?
Exponent Vocabulary: 1) 24= ___________ base: _______ Exponent: ______ Power:_____ 2) X3= ___________ base: _______ Exponent: ______ Power:_____
Write in exponential form .
1) 5·x·x·x·x·x
2) 3·4·a·a·a
Order of Operations
1)
4⋅7 + 4 ÷ 2
2
2)
2 + (32 + 1) 4
3)
[
]
2 3⋅ 6+(42 ÷2)
4) Evaluate
x2 z − 2x
When x= 5 and z = 6
Real Numbers Types and Properties roperties
___________Numbers: Numbers: Numbers that can be written as a fraction using integers, a terminating ter decimal or a repeating decimal.
Of Addition
Of Multiplication
Commutative Property Associative Property
Identity Property Inverse Property Multiplication Property of zero Multiplication Property of -1 Distributive Property 1) 7z-5(3+Z)=7Z-15-5Z 5Z = 7Z+(-15)+(-5Z) 5Z) =7Z +(-5Z) +(-15) 15) =(7+-5)z+(-15) 15)
___________________ 2) -4b+9+b=-4b+9+1b 4b+9+1b
____________________
=-4b+1b+9 4b+1b+9
____________________
= (-4+1)b+9 4+1)b+9
____________________
= -3b+9 3b+9
___________________
___________________ ___________________ ___________________
=2Z+(-15) 15)
___________________
=2Z-15 15
___________________
Use the Properties to Simplify
More with Real Numbers
Identify like terms
Combining irrational Numbers
They have exactly the same variable factors
a)2 3 + 3 2 + 5 3
b) 4 5 − 2 3 − 5
Are the following like terms? a) 3x,2x
b) 4x,8y
c) 2x2y3, 3x3y2
d) 4x2y, 3yx2
Absolute value
− 14
23−5
−32 +3
Combine like terms a) 3x+2x
d) 4x2y+3x2y
Simplifying Expressions 1)6(m+5)
2) 2(3-7T)
6) -9w3-3w3
7) 7+4t+6+t
10) 7b[8+6(b-1)]
11) –[-5(y+2z)-3z]
3) –(7-5b)
8)3(2x+6)+2
4) 7Y+6Y
9) 2(4x+3)+3(x+2)
5) 3T-T
Write an expression from the Phrase. 1) 7 more than n
1) 7 more than 4 times a number is 11.
2) The difference of n and seven
2) 15 plus the quotient of d and 4 is 13.
3) The quotient of n and 8 4) The product of c and 15
3) The Track One Media sells all CD’s for $12 each. Write an equation for the total cost of a given number of CD’s.
5) 2 times a number plus 5
4) The total cost of $25 times the number of DVD’s.
6) The quotient of 5 and twice a number 7) The product of m and 5, minus the quotient of t and 7. Write an equation from the table. Cost of Purchase
Change from 20
20
$0
19.00
$ 1.00
39
16.50
$ 3.50
52
11.59
$8.41
# of workers
# of radios
1
13
2
26
3 4
The Coordinate Plane You need to know how to …. 1) Label the quadrants and axes 2) Plot points (x,y) a) e (1,6)
b) f (-3,2) c) g (4,-1) d) h (-2,-3)
3) Identify points a) a
b) b
c) c
d) d
Scatter Plots and Correlation Scatter plot:
1.2 Exponents and Order of Operations
What does it mean to Simplify ?
What does it mean to evaluate?
Exponent Vocabulary: 1) 24= ___________ base: _______ Exponent: ______ Power:_____ 2) X3= ___________ base: _______ Exponent: ______ Power:_____
Write in exponential form .
1) 5·x·x·x·x·x
2) 3·4·a·a·a
Order of Operations
1)
4⋅7 + 4 ÷ 2
2
2)
2 + (32 + 1) 4
3)
[
]
2 3⋅ 6+(42 ÷2)
4) Evaluate
x2 z − 2x
When x= 5 and z = 6
Real Numbers Types and Properties roperties
___________Numbers: Numbers: Numbers that can be written as a fraction using integers, a terminating ter decimal or a repeating decimal.
Of Addition
Of Multiplication
Commutative Property Associative Property
Identity Property Inverse Property Multiplication Property of zero Multiplication Property of -1 Distributive Property 1) 7z-5(3+Z)=7Z-15-5Z 5Z = 7Z+(-15)+(-5Z) 5Z) =7Z +(-5Z) +(-15) 15) =(7+-5)z+(-15) 15)
___________________ 2) -4b+9+b=-4b+9+1b 4b+9+1b
____________________
=-4b+1b+9 4b+1b+9
____________________
= (-4+1)b+9 4+1)b+9
____________________
= -3b+9 3b+9
___________________
___________________ ___________________ ___________________
=2Z+(-15) 15)
___________________
=2Z-15 15
___________________
Use the Properties to Simplify
More with Real Numbers
Identify like terms
Combining irrational Numbers
They have exactly the same variable factors
a)2 3 + 3 2 + 5 3
b) 4 5 − 2 3 − 5
Are the following like terms? a) 3x,2x
b) 4x,8y
c) 2x2y3, 3x3y2
d) 4x2y, 3yx2
Absolute value
− 14
23−5
−32 +3
Combine like terms a) 3x+2x
d) 4x2y+3x2y
Simplifying Expressions 1)6(m+5)
2) 2(3-7T)
6) -9w3-3w3
7) 7+4t+6+t
10) 7b[8+6(b-1)]
11) –[-5(y+2z)-3z]
3) –(7-5b)
8)3(2x+6)+2
4) 7Y+6Y
9) 2(4x+3)+3(x+2)
5) 3T-T
