Expressions, Equations and Inequalities

Ch. 1.3 Algebraic Expressions

EQ: How do you evaluate algebraic expressions? I Will... Evaluate algebraic expressions. .

Bell WorkSimplify the expressions1. 3X + 6X - X + 4Y2. 2(X + Y) - 2X3. X(X + W) + XW - W

EQ: How do you evaluate algebraic expressions? I Will... Evaluate algebraic expressions.

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Algebraic ExpressionsREAD

The difference between a numeric expression and an algebraic expression is that an algebraic expression contains one or more variables.

These variables model a changing or unknown number, and the expression may have different values depending on this quantity. Algebraic expressions can be mathematical models for the real-world situations.

EQ: How do you evaluate algebraic expressions? I Will... Evaluate algebraic expressions. .

Modeling words with algebraic expressions

Write the algebraic expression that models the word phrase seven fewer than a number t.

EQ: How do you evaluate algebraic expressions? I Will... Evaluate algebraic expressions. .

EQ: How do you evaluate algebraic expressions? I Will... Evaluate algebraic expressions. .

Modeling words with algebraic expressions

Now you try…

1. Write the algebraic expression for the word phrase two times the sum of a and b.

2. Write the algebraic expression for the word phrase the quotient of the difference between 5 and a number n, and 2.

Modeling a SituationYou start with $20 and save $6 each week. Write an algebraic expression that models the total amount you save?

EQ: How do you evaluate algebraic expressions? I Will... Evaluate algebraic expressions. .

Modeling a SituationNow you try…

You had $150, but you are spending $2 each day. What algebraic expression models that situation?

EQ: How do you evaluate algebraic expressions? I Will... Evaluate algebraic expressions. .

Evaluating Algebraic Expressions

What is the value of the expression for the given values of the variables?

7(a+4) + 3b – 8 a=-4 and b= 5

EQ: How do you evaluate algebraic expressions? I Will... Evaluate algebraic expressions. .

Evaluating Algebraic Expressions

Now you try…

EQ: How do you evaluate algebraic expressions? I Will... Evaluate algebraic expressions. .

Simplifying Algebraic Expressions

Combine like terms. What is a simpler form of each expression?

EQ: How do you evaluate algebraic expressions? I Will... Evaluate algebraic expressions. .

Simplifying Algebraic Expressions

Now you try…

EQ: How do you evaluate algebraic expressions? I Will... Evaluate algebraic expressions. .

Closure(On your bell sheet)

Describe what an algebraic expression is? What are the parts of an algebraic

expression? How can algebraic expressions be used to represent real-

world situations?

EQ: How do you evaluate algebraic expressions? I Will... Evaluate algebraic expressions. .