Unit 2: Algebraic Expressions

Day 1

Variables & Evaluating

Expressions

Objectives

- Translate Algebraic Expressions

into Verbal Expressions

- Translate Verbal Expressions into

Algebraic Expressions.

A1.1.1 Operations with Real

Numbers and Expressions

A1.1.1.3 Use Exponents, roots, and/or absolute

values to solve problems.

A1.1.1.3.1 Simplify/evaluate expressions

involving properties/laws of exponents, roots,

and/or absolute values to solve problems.

Note: Exponents should be integers from -10 to

10.

Think about it…

Joe scored 25 goals in soccer this year.

Together, Joe and Nina scored 48 goals. How

many goals did Nina score?

Key Terms

Algebraic Expression: Expression

consisting of

sums/differences/products/quotients

of numbers & variables (no equal

signs)

Variable: Symbol used to represent

unknown numbers or values.

Writing Algebraic Expressions

Addition:

Subtraction:

Multiplication:

Division:

Translating Algebraic Expressions

into Verbal Expressions

4

2

3

5 16

x

z

Translating Algebraic Expressions

to Verbal Expressions

316 2 u

Translating Verbal Expressions into

Algebraic Expressions

a number t more than 6

10 less than the product of 7 and f

two thirds of the volume v

Translating Verbal Expressions into

Algebraic Expressions

the product of p and 6

one third of the area a

Application: Writing an Expression

Mr. Martinez orders 250 key chains

printed with his athletic team’s logo

and 500 pencils printed with their

Web Address. Write an algebraic

expression that represents the cost

of the order.

Application: Writing an Expression

Katie estimates that 1/8 of the

people who order beverages also

order pastries. Write an algebraic

expression to represent how many

people order pastries.

Exit Ticket

A small company has $1,000 to

distribute to its employees as a

bonus. Write an algebraic expression

that represents the amount that each

employee will receive.

Homework

Worksheet

Unit 2: Algebraic Expressions

Day 2

Variables & Evaluating

Expressions

Objectives

- Evaluate algebraic expressions

A1.1.1 Operations with Real

Numbers and Expressions

A1.1.1.3 Use Exponents, roots, and/or absolute

values to solve problems.

A1.1.1.3.1 Simplify/evaluate expressions

involving properties/laws of exponents, roots,

and/or absolute values to solve problems.

Note: Exponents should be integers from -10 to

10.

Example 1

Evaluate the algebraic expression using the

given information and your order of operations.

Evaluate 3x2 + (2y+ z3) if x = 4, y = 5, z = 3.

Example 2

Evaluate the algebraic expression using the

given information and your order of operations.

Evaluate a2(3b+5)¸c if a = 2, b = 6, c = 4.

Example 3

Evaluate the algebraic expression using the

given information and your order of operations.

Evaluate 5d +2 6 f -g( )-2if d = 4, f = 3, g = 5

Example 4

Evaluate the algebraic expression using the

given information and your order of operations.

Evaluate 6 7x if x =12.

Example 5

Evaluate the algebraic expression using the

given information and your order of operations.

.1052 xifxEvaluate

Example 6

Evaluate the algebraic expression using the

given information and your order of operations.

Evaluate 3 -a +2b3 if a = 7 and b = -3.

Exit Ticket

Evaluate the algebraic expression using the

given information and your order of operations.

Evaluate 3g(g+ r)-3 -1 if g = 4 and r = -2.

Example 6

Akira bought one new book for $20 and three

used books for $4.95 each. Write and evaluate

an expression to find how much money the

books cost.

Example 5

According to the California Department of

Forestry, an average of 539.2 fires each year

are started by burning debris, while campfires

are responsible for an average of 129.1 each

year.

a) Write an algebraic expression that

represents the number of fires, on average,

in d years of debris burning and c years of

campfires.

b) How many fires would there be in 5 years?

Example 7

Koto purchased food for herself and her

friends. She bought 4 cheeseburgers for $2.25

each, 3 french fries for $1.25 each, and 4

drinks for $4.00. Write and evaluate an

expression to find how much the food cost.

Homework

P13: 36-38, 49-54, 55, 56, 65, 66, 68