Transcript ALG.09.06.WritingAlgebraicExpressionsFromWords

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)
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Announcements
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Today is Tuesday:
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Homework 1.2 – due Tomorrow
Quiz 1.2 – Thursday
Grades
Agenda
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7:50 - Warm Up
8:10 – Announcements
8:15 – Check Warm Up
8:20 – Writing Algebraic Expressions From Words
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Notes (2.3) – 5 mins
Intro – 5 min
Guided Practice Mult Choice Game – 15 mins
Begin Homework – 10 mins
Cheat Sheet!
together
add
combined
increased by

added to
subtract
decreased by

Left
total of
plus
sum
Remains
less than, fewer than
difference
in all
minus, less
more than
loss
Take away
divide
product of
times
per

area
groups of
average
volume
multiply
out of

split
quotient
per
percent
You already know Numerical Expressions
English Expression
The sum of four and
seven
The product of three
tenths and forty
Numerical Expression
Algebraic Expressions
English Expression
The sum of a number
and six
The product of length
and width
Algebraic Expression
+ and -
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English
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
Algebraic Expression
• and ÷
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English
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
Algebraic Expression
Exponents and Roots
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English
A number squared
A number to the second power
A number to the power of two
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The square root of a number
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A number cubed
A number to the third power
A number to the power of three
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The cube root of a number
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Algebraic Expression
Check For Understanding
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Each person on the team receives a piece
of paper that they quickly make into 4
cards, labeled A, B, C, and D
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I am going to reveal a series of
multiple choice questions
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When you have your answer, place it
face down on the front, right-hand
corner of your desk
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When time is called you must hold up the
card that you chose
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Then, we will discuss the choices
A
B
C
D
Multi-Choice Cards
Translate to an algebraic expression:
A)
y  11
11 more than y
B)
C)
D)
y  11
11  y
11 y
Multi-Choice Cards
Translate to an algebraic expression:
A)
5n
5 less than n
B)
5n
C)
n5
D)
n5
Multi-Choice Cards
Translate to an algebraic expression:
A)
8b
B)
8b  8
a number b divided by 8
C)
b
8
8
D)
b
Multi-Choice Cards
Translate to an algebraic expression:
A)
3 .3  x
B)
3 .3 x
C)
3 .3  x
the product of 3.3 and a
number x
D)
3 .3  x
Multi-Choice Cards
Translate to an algebraic expression:
A)
7 x
B)
7x
C)
x7
A number x fewer than 7
D)
x7
Multi-Choice Cards
Translate to an algebraic expression:
A)
3u
B)
u3
C)
u3
A number u cubed
D)
u
3
Multi-Choice Cards
Translate to an algebraic expression:
1
A)
p
4
One fourth of a number p
B)
1
 p
4
C)
D)
1
 p
4
1
4
 p
Multi-Choice Cards
Translate to an algebraic expression:
A)
6d
B)
6d
C)
6d
D)
6d
6 groups of a number d
Multi-Choice Cards
Translate to an algebraic expression:
A)
3 w 4t
B)
3w  4t
C)
( 3 w )( 4 t )
D)
3w  4t
a number w tripled plus t quadrupled
Multi-Choice Cards
Translate to an algebraic expression:
A)
5b 2 a
B)
5b  2 a
C)
( 2 a )  (5b )
D)
2 a  5b
the product of 2 times a and 5 times b
Multi-Choice Cards
Write an algebraic equation to
model the relationship:
The cost of beverages in a vending
machine is shown:
A)
c  1 . 25  b
B)
c  1 . 25  b
C)
c  1 . 25 b
c = Cost
b = Beverage
D)
c  1 . 25  b
Multi-Choice Cards
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.
A)
T  50  20 w
B)
T  50  20 w
C)
T  20  50 w
D)
T  20  50 w
T = Total Money
W = # of weeks mowed