Section 1.1 “Evaluate Expressions”

1. Substitute a number for the variable.

2. Perform all operations.

3. Simplify the result.

Steps to EVALUATE AN EXPRESSION…

You Try It!

EXPRESSIONS USING EXPONENTSVocabulary

POWER An expression that represents repeated multiplication of the same factor.

BASE The number that is multiplied into itself in an expression using exponents.

EXAMPLE 81 is a power of 3 because 81 = 3*3*3*3

EXPONENT The number of times the base is used as a factor.

EXAMPLES

YOU TRY IT!

6. Nine to the fifth power 9*9*9*9*9

7. Two to the eighth power 2*2*2*2*2*2*2*2

8. N to the fourth power n*n*n*n

EXAMPLES

SKILL CHECK

9. 8*8*8 = 512

10. 2.5 * 2.5 = 6.25

11. 1/3 * 1/3 * 1/3 * 1/3 = 1/81 or .012345679012

FRACTION WORK

3

1*3

1*3

1*3

1

KEY When multiplying fractions, multiply STRAIGHT ACROSS, Top And Bottom.

1 * 1 * 1 * 13 * 3 * 3 * 3

181

= =

WORD PROBLEM PRACTICE

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Section 1.2 “Apply Order of Operations”

32327 2 32327 2 32927 323 36 3

3292

3281

3162 159

Which way is the right way?

Exponents

Multiply/Divide

Multiply/Divide

Add/Subtract

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

P.E.M.D.A.S.

How PEMDAS Works

Evaluate what’s inside the PARENTHESIS.

Evaluate all EXPONENTS from left to right.

MULTIPLY and DIVIDE from left to right.

ADD and SUBTRACT from left to right.

You Try It!

1. 20 – 16 = 4

2. 2 *9 + 4 = 18 + 4 = 22

3. 32 / 8 + 6 = 4 + 6 = 10

4. 15 + 36 - 4 = 51 – 4 = 47

7 (5) = 35

24 - (9 + 1) = 24 – (10) = 14

2[30 - (21)] = 2[9] = 18

FRACTION WORK

You Try It!

TAKS Practice