Evaluate.

1. x + 8, if x = 5

2.24 ÷ y, if y = 2

3.3z, if z = 3

4.18 – 3m, if m = 3

Warm-Up!

Do N

ow

!

ANS: 13

ANS: 12

ANS: 9

ANS: 9

:00Time’s Up!:10:20:30:40:501:001:101:201:301:401:502:002:102:202:302:402:503:003:103:203:303:403:504:004:104:204:304:404:505:00Click Me!

Warm-Ups Rock!

1-1 Variables and Expressions

Translate these expressions

Tra

nsla

te

brb

TTyllol

rotfl

omg

idk

omw

bffjk

*Writing algebraic expressions*

Add+

Subtract–

Multiplyx

Divide

SumPlusAdded toMore thanIncreased byTotal

DifferenceMinusSubtracted fromLessLess thanDecreased by

Product ofTimesMultiplied byTwiceOf

QuotientDivided by *K

ey

Word

s!*

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*Vocabulary Check*1. Variable — is a letter or symbol used to represent a

value that can change.

2. Algebraic Expressions — contain variables, numbers, and one or more operations, but NO equal signs.

3. Evaluate — to evaluate an expression means to find its value.

4. Term – May be a number, a varible, or a product or quotient of numbers and variables.

Example: x y n

Example: 5x 3x –7 x + 7

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Example: 5x 0.1d 7

Vocabulary Continued

• 5. Factors- Are the quantities being multiplied together.

*Understanding powers!*

85

BASE

Exponent

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You say it like, “8 to the 5th

power!”

*evaluating exponents*

*Key

Word

s!*

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Exponents

31 3 to the first power 3

32 3 to the second power or 3 squared 3 3∙

33 3 to the third power or 3 cubed 3 3∙ 3∙

34 3 to the fourth power 3 3∙ 3∙ 3∙

2x6 2 times x to the sixth power 2 ∙ x ∙ x ∙ x ∙ x ∙ x ∙ x

*Writing algebraic expressions*Translate into an algebraic expression.

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Eight increased by a number

Step 1: Underline “Key Words”Step 2: Determine which operation you’ll use (+, -, x, )Step 3: Replace with numbers and/or variables!Step 4: Check your work! Does it sound like it makes sense?

+8 n

Example #1

*Writing algebraic expressions*

Translate into an algebraic expression.

Seven times x squared∙7 x2

Step 1: Underline “Key Words”Step 2: Determine operation you’ll use (+, -, x, )Step 3: Replace with numbers and/or variables!Step 4: Check your work! Does it sound like it makes sense?

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Example #1

*Writing algebraic expressions*

Translate into an algebraic expression.

The sum of c squared and 21 times d

c2+ 21d

c2 + 21dStep 1: Underline “Key Words”Step 2: Determine operation you’ll use (+, -, x, )Step 3: Replace with numbers and/or variables!Step 4: Check your work! Does it sound like it makes sense?

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Example #2

*important Note*For key words like more than, less than, and subtracted from, the numbers and variables should be reversed to make sense.

Eight more than a number+8 n

Reverse it!

+8 n

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Example #3

7 less than a number

*writing algebraic expressions*

–

Hmm… a tough

one!

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Example #4

7 n

n – 7

*writing algebraic expressions*

Three-fourths of the perimeter p

∙

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Example #5

¾ p

p4

3

*translate to a algebraic expression!*

Do I

t!

5 times a number

*translate to a algebraic expression!*

Do I

t!

x to the 18th power

Translate into an algebraic expression.

1. The difference between 24 and x.

2. Three fourths of a number.

3. The quotient of 9 and a number.

Lets Practice

Do N

ow

!

ANS: 24 – x

ANS: ¾ x

ANS:

9x

Math Rock!

Think –Pair -Share

• Explain the difference between an algebraic expression and a verbal expression.

Algebraic expressions include variables, numbers, and symbols. Verbal expressions contain words

H.O.T. Problem

• Define a variable to represent a real-life quantity, such as time in minutes or distance in feet. Then use the variable to write an algebraic expression to represent one of your daily activities. Describe in words what your expression represents, and explain your reasoning.

You can do it!

• Jim and Julie are writing algebraic expression for three times the sum of n squared and three. Is either of them correct. Explain your reasoning.

Jim Julie

23( 3)n 23 3n

Jim is correct, Julie left out the parentheses around the n^2 +3

Homework Time

*Classwork* *Time!

*HW: page 7 #11-27 odd, 34-36 ALL

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Hom

ew

ork

!

Get Ready!