Welcome to Algebra

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

Announcements

Today is Tuesday: Homework 1.2 – due Tomorrow Quiz 1.2 – Thursday

Grades

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

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

You already know Numerical Expressions

English Expression Numerical Expression

The sum of four and seven

The product of three tenths and forty

Algebraic Expressions

English Expression Algebraic Expression

The sum of a number and six

The product of length and width

+ 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

• 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

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

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

Multi-Choice CardsA)

B)

C)

D)

Translate to an algebraic expression:

11 more than y 11y

11y

y11

y11

Multi-Choice CardsA)

B)

C)

D)

Translate to an algebraic expression:

5 less than nn5

5n

5n

n5

Multi-Choice CardsA)

B)

C)

D)

Translate to an algebraic expression:

a number b divided by 8

8

b

b

8

b8

88 b

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

Multi-Choice CardsA)

B)

C)

D)

Translate to an algebraic expression:

A number x fewer than 7

7x

7x

x7

x7

Multi-Choice CardsA)

B)

C)

D)

Translate to an algebraic expression:

A number u cubed

3u

u3

3u

3u

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

Multi-Choice CardsA)

B)

C)

D)

Translate to an algebraic expression:

6 groups of a number d

d6

d6

d6

d6

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

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

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

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