Warm-Up (for later use)

Simplify the following:

53

21

72

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CCGPS Coordinate Algebra

1st Period

Warm-Up

Guess the meanings of the following words:

VariableExpression

BaseConstant

Factor

Essential Question

Why is it important to understand the “language” of mathematics?

CCCA Unit 1

Definitions

Identifying PartsGuided NOTES

Algebraic Expression

a mathematical phrase that contains variables, numbers, and operators (i.e.

addition, subtraction, multiplication, division, parentheses, square roots,

and exponents)

Examples:

√5 𝑥𝑦

Variable

symbols or letters used to represent an unknown

Examples:

Term

items that are being added, subtracted, or divided

Examples:2

2

5 2 3

2

a xy

P xa b

3 terms:5a2, -2xy, and 3

4 terms:P, -2x, a2, and b

Like Terms

terms with same the variable raised to the same power

Examples:

and

and

Coefficient

the number in front of a variable

Examples:

3 2

123

9

xy

xy z

x

123

9

1

Exponent (Power)• the number up in the air next to a base• the exponent of a number tells you

how many times you multiply that number times itself

Examples:3

12

4

2

3 7

x

y

3

12

4

Base• is what the exponent sits on

• the part that has been raised to a power

Examples:3

12

4

2

3 7

x

y

2

x

y

Constant• a number that has no variable• can be positive or negative

Examples:

2 4

42

3 5

5 3 8

x

x y

-42

5

-8

Factors• items that are being multiplied together

• can be numbers, variables, or what is inside the parentheses

Examples:

6

9

2 3

3 9

xy

x y

z

1 and 6…. Or 2 and 39 and x and y

(x + 2) and (y – 3)

3 and (z – 9)

Order of Operations

1. Simplify what is inside the parentheses 2. Take care of exponents3. In order from left to right, multiplication

or division4. In order from left to right, addition or

subtraction

Examples: 25 3 2 1 4 -18

Which is it?

Translations

ADDITION

Sum Plus Add More Than Increased Together

SUBTRACTION

Difference Minus Decreased Less Than (swaps the order)

Take away

DIVISION

Quotient Half Divide by

MULTIPLICATION

Product Twice Double Triple Times

EXPONENTS

Square Cubed To the power of Raised to a power

TranslateThe sum of a number and 10

x + 10

TranslateThe product of 9 and x squared

9x2

Translate9 less than g to the fourth power

g4 – 9

Translate

8 + 3xEight increased by three times x

Translate and Solve

2. Four times a number plus 10 minus two times the same number is 6.

1. Five times a number increased by 5 is the same as 3 times the same number decreased by 7.

HOMEWORK

Writing an Expression Worksheet

WORKSHEET