welcome to algebra
DESCRIPTION
Welcome to Algebra. 9/6/11. Writing Algebraic Expressions From Words. Take a “2.2 Substituting Numbers for Variables” from the back table Study Example 1 and Example 2 (2 mins) Answer 1 – 24 on a separate sheet (13 mins). Announcements. Today is Tuesday: Homework 1.2 – due Tomorrow - PowerPoint PPT PresentationTRANSCRIPT
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Welcome to Algebra
Take a “2.2 Substituting Numbers for Variables” from the back table Study Example 1 and Example 2 (2 mins) Answer 1 – 24 on a separate sheet (13 mins)
9/6/11
Writing Algebraic Expressions From Words
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Announcements
Today is Tuesday: Homework 1.2 – due Tomorrow Quiz 1.2 – Thursday
Grades
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Agenda
7:50 - Warm Up 8:10 – Announcements 8:15 – Check Warm Up 8:20 – Writing Algebraic Expressions From Words
Notes (2.3) – 5 mins Intro – 5 min Guided Practice Mult Choice Game – 15 mins Begin Homework – 10 mins
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Cheat Sheet!
added to
increased by
more than
combined
total of
sum
less than, fewer than
decreased by minus, less
difference
plusin all
Left Remains
together
loss Take away
product of
times per
quotient out of
average
area
volume multiply
add subtract
divide
groups of
split
per
percent
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You already know Numerical Expressions
English Expression Numerical Expression
The sum of four and seven
The product of three tenths and forty
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Algebraic Expressions
English Expression Algebraic Expression
The sum of a number and six
The product of length and width
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+ and -
English Algebraic Expression• A number plus seven• The sum of a number and 7• A number increased by seven• 7 more than a number• Add seven to a number
• A number minus twelve• Subtract 12 from a number• 12 less than a number• A number decreased by 12
• Twelve minus a number• Subtract a number from 12• 12 decreased by a number
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• and ÷
English Algebraic Expression• Two times a number• The product of two and a number• Twice a number
• One half a number• 50% of a number• The product of a number and 0.5
• Ten divided by a number• The quotient of ten and a number
• A number divided by ten• The quotient of a number and ten
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Exponents and Roots
English Algebraic Expression• A number squared• A number to the second power• A number to the power of two
• The square root of a number
• A number cubed• A number to the third power• A number to the power of three
• The cube root of a number
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Check For Understanding
• I am going to reveal a series of multiple choice questions
• Then, we will discuss the choices
A
BC
D
• Each person on the team receives a piece of paper that they quickly make into 4 cards, labeled A, B, C, and D
• When time is called you must hold up the card that you chose
• When you have your answer, place it face down on the front, right-hand corner of your desk
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Multi-Choice CardsA)
B)
C)
D)
Translate to an algebraic expression:
11 more than y 11y
11y
y11
y11
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Multi-Choice CardsA)
B)
C)
D)
Translate to an algebraic expression:
5 less than nn5
5n
5n
n5
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Multi-Choice CardsA)
B)
C)
D)
Translate to an algebraic expression:
a number b divided by 8
8
b
b
8
b8
88 b
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Multi-Choice CardsA)
B)
C)
D)
Translate to an algebraic expression:
the product of 3.3 and a number x
x3.3
x3.3
x3.3
x3.3
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Multi-Choice CardsA)
B)
C)
D)
Translate to an algebraic expression:
A number x fewer than 7
7x
7x
x7
x7
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Multi-Choice CardsA)
B)
C)
D)
Translate to an algebraic expression:
A number u cubed
3u
u3
3u
3u
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Multi-Choice CardsA)
B)
C)
D)
Translate to an algebraic expression:
One fourth of a number p
p4
1
p4
1
p4
1
p4
1
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Multi-Choice CardsA)
B)
C)
D)
Translate to an algebraic expression:
6 groups of a number d
d6
d6
d6
d6
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Multi-Choice CardsA)
B)
C)
D)
Translate to an algebraic expression:
a number w tripled plus t quadrupled
tw 43
tw 43
)4)(3( tw
tw 43
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Multi-Choice CardsA)
B)
C)
D)
Translate to an algebraic expression:
the product of 2 times a and 5 times b
ab 25
ab25
)5()2( ba
ba 52
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Multi-Choice CardsA)
B)
C)
D)
Write an algebraic equation to model the relationship: bc 25.1
The cost of beverages in a vending machine is shown:
c = Cost
b = Beverage
bc 25.1
bc 25.1
bc 25.1
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Multi-Choice CardsA)
B)
C)
D)
Write an algebraic equation to model the relationship:
Leonardo gets paid to mow his neighbor’s lawn. He begins with $50, and for every week that he mows the lawn, he earns $20. Write a rule as an algebraic equation to model the relationship.
T = Total Money
W = # of weeks mowed
wT 2050
wT 5020
wT 5020
wT 2050