Mr. CaliseRoom 205

WELCOME TO ALGEBRA I!

Warm-UpWarm-Up1) Evaluate each expression given:

w = 4, x = 5, y = 2, and z = 1a) x + w = b) y – z =c) 2w – y =d) xy – wz =2) Put these numbers in order from least

to greatest: 5, 0, -2, -7, 4.5, 4.499

1 – 21 – 2 Order Of OperationsOrder Of Operations

Algebra I

Order, Order, OrderOrder, Order, Order

What do the words ace, lost, bent, and below all have in common?

(hint look at the letters)

* All the letters are in alphabetical order.

In 5 steps or more5 steps or more explain how you would make a peanut butter

and jelly sandwich?(Don’t leave out any details)

Order Of OperationsOrder Of Operations

Put these operations in the order you think is correct.

a) Multiplicationb) Additionc) Divisiond) Exponentse) Subtractionf) Parentheses

PEMDASPEMDAS

1) Parentheses

2) Exponents

3) Multiplication/Division (left to right)

4) Addition/Subtraction (left to right)

Using the Order of Operation try to evaluate this expression:

)69(354 3

ExampleExample1) Find the error:

2) Evaluate:

2820

327

2220

)58(33

3

24

24

212

24

4)13(20 2

DrillDrill

1) Write the numbers in increasing order:

2) Evaluate each expression when x = 6, y = 3

a) b)

3

8,4,

5

2,42.1,2

13 x 32 3216 yx

Algebra 1Algebra 1

Objective: Graphing real numbers on a number line, Classify and order real

numbers.

CalculatingCalculating

• To calculate square roots on the calculator use the 2nd button, then the [x2] button.

• To use absolute value bars you use the MATH button, then select abs(, from the list.

• To change an exponent use the ^ button on the calculator.

Algebra I

Objective:Objective: Students will be able to distinguish between the different types of real numbers and be able to evaluate square root expressions.

Types of Numbers• Real Numbers

• Rational Numbers

• Irrational Numbers

• Integers

• Whole Numbers

• Natural Numbers

Real Numbers (R)

• All numbers used in everyday life, the set of all rational and irrational numbers.

• Ex: ½ , -3, 4.667, -2.12324

Natural Numbers (N)

• All Integers except negative numbers and zero.

• Ex: {1, 2, 3, 4, 5, ….}

Whole Numbers (W)

• All Integers except for all the negative numbers.

• Ex: {0, 1, 2, 3, 4, 5, ….}

Integers (Z)

• All non-decimal or fractional numbers including all positive numbers, negative numbers and zero.

• Ex: {...-2, -1, 0, 1, 2, 3, …}

Rational Numbers (Q)

• Any number , where m and n are integers and n is a non-zero. The decimal form is either a terminating or repeating decimal.

• Ex: ½ , 2.555, 3.25252525

n

m

Irrational Numbers (I)

• Any number which can not be written as a fraction. The decimal form neither repeats or terminates.

• Ex: 2.34628789476373673245…

Number Chart

Real Numbers (R)

(I)(Q) (Z) (w) (N)

Examples1) -4

2) 2.5454545454

3) 0

4) ½

5) 2.549847354748456235…..

6) 8

Adding FractionsAdding Fractions

• When adding fractions by hand you must have common denominators.

• When using fractions on the calculator you must ALWAYS put the fractions in parentheses.

• To change a decimal to a fraction on the calculator press (MATH) select FRAC then on the screen it will say Ans Frac then press (ENTER)

DRILLDRILL

1) -3 + -8 – 5 =

2)

3)

5

4

7

3

5

2

49

7

3

2

Algebra I Multiplying and Dividing

Rational Numbers

Multiplying FractionsMultiplying Fractions

• To Multiply Fractions we simply multiply the numerators and than multiply the denominators.

35

6

7

3

5

2

ReciprocalReciprocal• A reciprocal is a number you have

to multiply by to get 1.

• To get a reciprocal you simply make the number a fraction if it is not already and flip it.

3

4&

4

3

5

1&5

Dividing FractionsDividing Fractions

• When you divide by a fraction you simply multiply by its reciprocal.

6

5

12

10

4

5

3

2

5

4

3

2

DrillDrill

1) How do you find perimeter of an object?

2) What would be the perimeter of a square if one side is 8 feet?

3) Evaluate a + b + c, if a = 4, b = 12, and c = 13

Chapter 1Chapter 1Using FormulasUsing Formulas

Algebra I

FormulasFormulas

• What are some things that you can use a formula for in math and in the real world?

SubstitutionSubstitution• When substituting make sure to put

parentheses around the number or numbers you are plugging into the expression or formula.

• Ex: 4a + 3x – 5, if a = 7 and x = 6

4(7) + 3(6) – 5