UNIT ESSENTIAL QUESTION

How are number properties andExpressions used to represent

situationsAnd relationships?

Unit one : EXPRESSIONS AND NUMBER

PROPERTIES

Evaluating algebraic expressions

Lesson 1-1Lesson 1-2

LESSON ESSENTIAL QUESTION

How can you write and evaluate anExpression that represents a real lifeProblem?

VOCABULARYNUMERICAL EXPRESSION– an expression that contains only numbers and operations symbols.

Ex. 7 + 24 – 3 (5 -2)

VOCABULARY

ALGEBRAIC EXPRESSION– an expression that contains Operation symbols and one or more variables.

Ex. 5 + 2n – 3y

VOCABULARY

EVALUATE – to substitute a number for a variable.

Ex. 3 + 5y – 2c y = 3 and c = 2

VOCABULARY

VARIABLE- A symbol usually a letter used to represent a number.

In addition to the symbol x, the other ways to showMultiplication are :

MAIN IDEA DETAIL NOTES

STEP 1: SIMPLIFY INSIDE GROUPING SYMBOLS

ORDER OF OPERATIONS

STEP 2: EVALUATE POWERS

STEP 3: MULTIPLY AND DIVIDE LEFT TO RIGHT

STEP 4: ADD AND SUBTRACT LEFT TO RIGHT

Use PEMDAS to remember order of operations

P: parentheses E: exponents M: multiply D: divide A: add S: subtract

EXAMPLES

EXAMPLES

EXAMPLES

Write and solve an expression to find the total costof planting flowers in a garden. The packs of flowers Cost $4 per pack and we need 5 packs of flowers. TheBag of dirt cost $3 per bag and we need 1 bag. The Bottle of fertilizer cost $4 per bottle and we need 1Bottle of fertilizer.

EXAMPLESWORDS COST

OF 5 FLOWER PACKS

PLUS

COST OF DIRT

PLUS COST OF FERTILIZER

EXPRESSION 5 x $4 + $3 + $4

5 X $4 + $3 + $4 $20 + $3 + $4$23 + $4$27 total cost for planting flowers in the garden

Write and solve an expression to find the total cost ofPlanting flowers and buying a shovel. We need 6 packs Of flowers for $5 per pack, 2 bags of dirt for a price of$2 per bag, a bottle of fertilizer for $3.99 and a shovelFor $16.

Evaluating Algebraic Expressions

Step one: write the expression Step two: substitute the value for the variables Step three: simplify inside grouping symbols Step four: evaluate powers Step five: multiply and divide left to right Step six: add and subtract left to right

EXAMPLES

EXAMPLES

EXAMPLES

Homework Time