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# Chapter 1 – Equations and Equalities! PowerPoint PPT Presentation

Chapter 1 – Equations and Equalities!. In this chapter, order of operations, classifying of numbers, solving equation involving absolute values and lastly equalities will become your best friends . By: Ana Carrazco, JC Nely Jaimes, Kaleen Smith, and Kimberly Gomes. Vocabulary!! .

Chapter 1 – Equations and Equalities!

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## Chapter 1 – Equations and Equalities!

In this chapter, order of operations, classifying of numbers, solving equation involving absolute values and lastly equalities will become your best friends 

By: Ana Carrazco, JC Nely Jaimes, Kaleen Smith, and Kimberly Gomes

### Vocabulary!!

• Variables- a letter that represents an unknown quantity

• Order of Operations- P E M D A S

• Algebraic expression- a combination of numbers, variables, and operations without an equal sign

### Vocabulary!!

• Real numbers- any number that can be placed on a number line

• Rational numbers- a number that can be written as a fraction

• Integers - …-2, -1, 0, 1, 2…

• Whole numbers– start from zero and up

• Natural numbers- start from one and up

• Irrational numbers- a number that can’t be written as a fraction

• Absolute Value- distance from zero

### Note card continued..

P- parenthesis

E- exponents

M- multiplication

D- division

S- subtraction

Greater than: greater than or equal to.

Less than: less than or equal to.

*On a number line, if the symbol is greater than/less than or equal too, fill in the circle on the number line. If the sign is just greater than or equal, leave the circle open.

SOLVE THEN GRAPH

SOLVE WHEN x = 2

3

4

5

### Sample problems continued

SIMPLIFY

EVALUATE THE EXPRESSION WHEN

a = 4 b = 6 & c = 10

### SAMPLE PROBLEMS CONTINUED

Q = Ba9y + 4 = 85

B B 4 4

Q 9y = 81

B y = 9

SOLVE FOR a

SOLVE EQUATION

a

### SAMPLE PROBLEMS CONTINUED

SOLVE THEN GRAPH

6v + 6 ≤ 36 6v + 6 ≥ -36

6 6 6 6

6v ≤ 30 6v ≥ -42

v ≤ 5v ≥ -7

-7

-5

-3

0

3

5

7