Warm-Up (7 Minutes) Copy Questions Then Answer Them Show all work If Dorian can travel ½ mile per hour, how many inches can he travel in 3 hours? 2. Convert 600 dollars per year to nickels per day.

Identifying Parts of Expressions Definitions Identifying Parts of Expressions

Algebraic Expression Can have variables, numbers, addition, subtraction, multiplication, division, parenthesis, square roots, exponents… Examples:

Variable Symbols or letters used to represent an unknown Examples: 

Term How many items are being added, subtracted, divided Examples: 3 terms 4 terms

Like Terms Same variable raised to the same power Examples:

Coefficient 123 9 1 The number multiplying to a variable (in front) Examples: 123 9 1

Exponent 3 1 4 The number in the superscript of a base The number of times you multiply something to itself Examples: 3 1 4

Base 2 x y What the exponent sits on The part that has been raised to a power Examples: 2 x y

Constant -42 5 -8 A number that has no variable It can be positive or negative Examples: -42 5 -8

Factors 1 and 6…. Or 2 and 3 9 and x and y (x + 2) and (y – 3) Items that are being multiplied together Can be numbers, variables, parenthesis Examples: 1 and 6…. Or 2 and 3 9 and x and y (x + 2) and (y – 3) 3 and (z – 9)

Sum The answer to an addition problem Examples 3 + 5 7(4) + 1 6 – 3 + 9

Difference The answer to a subtraction problem Examples 10 - 4 8 – 3(2) 7 + 3 - 1

Product The answer to a multiplication problem Examples 8(4) 6÷3(4) 7(4+2)

Quotient The answer to a division problem Examples 9÷3 7(4)÷2 (8+2)÷5

Example 1: Given the following expression, determine the number of terms, the constants and the coefficients. 3x2 + 4x – 3

Quick Check! You try!

Example 2: Simplify the expression and then identify the number of terms, the constants and the coefficients  2(x + 3) – 4(x + 2)

Quick Check! You try!

Example 3: Identify the factors of the expression. 3(x+3)x2

TRANSLATING EXPRESSIONS

Fill in the words!

Example 1: Translate the words into an algebraic expression The sum of 2 times a number and 4.

Quick Check! 1. The sum of a number and 10 2. The product of 8 and x squared. 3. 9 less than g to the fourth power.

Example 2: Create an algebraic expression for the situation. John is three times as heavy as Amy.

Guided Practice (10 min.)

Independent Practice Activity (25 minutes) In partners, match the expression to the words/description!

Exit Ticket Sarah is 6 less than triple the age of her brother. Write an equation for the situation.   2. Identify the number of terms, the coefficient and the constant. 2(x+2) – 4. 3. X2(x-2)(x +3) has how many factors?

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