CH 1.2 – ORDER OF OPERATIONS AND EVALUATING EXPRESSIONS

LET’S REVIEW!

Write an algebraic expression for the following phrases.

1. 5 less than the product of 3 and a number t.

2. Twice the sum of a number b and 8.

TRY TO TRANSLATE THE ALGEBRAIC PHRASE INTO A VERBAL PHRASE.

1. 4 – (d / 6)

2. (x + 7) / 2

NEW VOCABULARY

Power: made of two parts, a base and an exponent.

Base: the number you are multiplying by itself in a power.

Exponent: how many time you multiply the base to itself.

VOCABULARY

4. Simplify: a numerical expression when you it with its single numerical value.

5. Evaluate: replacing each variable with a given number, then simplify the expression.

WHAT IS THE SIMPLEST FORM FOR THE FOLLOWING EXPRESSIONS.

1. 53

2. 0.45

3. (⅜)4

WHICH ONE IS CORRECT? WHY?

A) 2 + 3 x 5 = 5 x 5 = 25

B) 2 + 3 x 5 = 2 + 15 = 17

ORDER OF OPERATIONS

1. Perform operations inside grouping symbols.Grouping symbols: parenthesis, brackets, absolute values, fraction bars

2. Simplify powers.3. Multiply and divide left to right.4. Add and subtract left to right.

SIMPLIFY

1)

2)

3) 17 – 36 / 4

WHAT IS THE VALUE OF THE FOLLOWING EXPRESSIONS FOR X = 3 AND Y = 5.1. x + y2 – xy

2. (y – x) + 4(xy)

EVALUATE THE EXPRESSIONS FOR A = 2 AND B = 6

1. (a + b)2

2. a2 + b2

3. What can you say about #1 and #2?

HOMEWORK

Order of Operations Worksheet

There are no algebraic expressions. SHOW ALL YOU WORK!! (or no credit!)

Make sure you know how to write algebraic expressions from verbal phrases!!!!!