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# Foundations of Algebra

Variables and Expressions

by

Tweet## Michale Wireman

on 18 October 2011#### Transcript of Foundations of Algebra

Foundations of Algebra Objective How to represent quantities, patterns, and relationships Relate Properties to Algebra Toolbox Variable: is a symbol, usually a letter, that

represents a number Key Words: Addition Sum...Plus...more than...total...

increased by Ex. 5 + x the sum of 5 and a number x

5 more than a number x

5 increased by a number x Subtraction difference...minus...less than...

decreased by Ex. n - 7 the difference of a number n and 7

7 less than a number n

a number minus n Multiplication product...times...multiplied by...

of Ex. 4 x y or 4y the product of 4 and y

4 times a number y Division Quotient...Divided by Ex. n / 2 the quotient of n and 2

n divided by 2 Expression with two Operations Ex. 3 more than twice a number 3 more than twice a number

3 + 2x

3 +2x Ex. 9 less than the quotient of 6

and a number 6/ x - 9 the product of 4 and

the sum of a number x and 7 4 (x + 7) Algebra1 Classwork:

1-16 all

25-33 all

48-53 all P

E

M

D

A

S Paranthesis Exponents Multiplication Left to right Left to right Division Addition Subtraction Toolbox simplify: to make smaller usually to a single numerical value Objective 1.2

-simplify expressions with exponents

-use order of ops to evaluate expressions Powers have two parts:

1. base

2. exponent exponents tell how many

times you use the base 2 * 2* 2

Alg. I

pg. 12-13

1-34

41-52 Toolbox:

properties- are rules used to

rewrite expressions Objective: Can properties be used to rewrite expressions? http://www.slideshare.net/rfant/properties-of-real-numbers

Full transcriptrepresents a number Key Words: Addition Sum...Plus...more than...total...

increased by Ex. 5 + x the sum of 5 and a number x

5 more than a number x

5 increased by a number x Subtraction difference...minus...less than...

decreased by Ex. n - 7 the difference of a number n and 7

7 less than a number n

a number minus n Multiplication product...times...multiplied by...

of Ex. 4 x y or 4y the product of 4 and y

4 times a number y Division Quotient...Divided by Ex. n / 2 the quotient of n and 2

n divided by 2 Expression with two Operations Ex. 3 more than twice a number 3 more than twice a number

3 + 2x

3 +2x Ex. 9 less than the quotient of 6

and a number 6/ x - 9 the product of 4 and

the sum of a number x and 7 4 (x + 7) Algebra1 Classwork:

1-16 all

25-33 all

48-53 all P

E

M

D

A

S Paranthesis Exponents Multiplication Left to right Left to right Division Addition Subtraction Toolbox simplify: to make smaller usually to a single numerical value Objective 1.2

-simplify expressions with exponents

-use order of ops to evaluate expressions Powers have two parts:

1. base

2. exponent exponents tell how many

times you use the base 2 * 2* 2

Alg. I

pg. 12-13

1-34

41-52 Toolbox:

properties- are rules used to

rewrite expressions Objective: Can properties be used to rewrite expressions? http://www.slideshare.net/rfant/properties-of-real-numbers