Algebra II September 2, 2011

Drill (solve for each variable)

1) 2) 3) 4

x a

 2 7 

x

  8 12   2 .

8 12 31  4 .

7

Types of Numbers (DRILL ON BOARD)  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

Rational Numbers (Q) 

m

Any number , where m

n

non-zero. The decimal form is either a terminating or repeating decimal.

 Ex: ½ , 2.555

, 3.25252525

Irrational Numbers (I)  Any number which can not be written as a fraction. The decimal form neither repeats or terminates.

 Ex: 2.34628789476373673245…

Integers (Z)  All non-decimal or fractional numbers including all positive numbers, negative numbers and zero.

 Ex: {...-2, 1, 0, 1, 2, 3, …}

Whole Numbers (W)  All Integers except for all the negative numbers.

 Ex: {0, 1, 2, 3, 4, 5, ….}

Natural Numbers (N)  All Integers except negative numbers and zero.

 Ex: {1, 2, 3, 4, 5, ….}

Number Chart Real Numbers (R) (Q) (Z) (w) (N) (I)

Examples 1) -4 2) 2.5454545454

3) 4) 5) 0 ½ 2.549847354748456235…..

6) 8

Algebra Word Problems

 Sum: to add the numbers together.

 Difference: the subtract the two numbers  Product: to multiply the numbers  Quotient: to divide the numbers

Addition (Key Words) 

More Than

 In addition to  As well as

Subtraction (Key Words) 

Less Than

 Take away  Minus

Multiplication (Key Words) 

Times a number Division (Key Words)

• Divided by • Split Equally

Examples  Write an equation for each word problem.

1) 7 more then a number equals 15.

2) 8 more then the product of 5 and a number is equal to 38.

Examples 3) The quotient of a number and 7 is equal to 6.

4) The product of 4 and a number is 12 less then 40.