Outline Section 1 1 Algebra II CP Mrs

Outline Section 1 -1 Algebra II CP Mrs. Sweet

The Language of Algebra variable • A is a symbol that can be replaced by any member of a set of numbers or other objects. • When numbers and variables are combined it results in an algebraic expression • Algebraic sentences consist of expressions related with a verb.

The most common verbs in = (is equal to) < (less than or equal to) > (greater than) < ( less than) (approximately equal to) ( not equal to) are:

• Examples of algebraic sentences are, A= r 2 , • a + b = c, and equation • An is a sentence stating that two expressions are equal. • Give an example: formula • A is an equation stating that a single variable is equal to an expression with one or more different variables on the other side.

Give an example of each of the following: A formula: Both an equation and a formula: An equation that is not a formula:

Order Of Operations: ( PEMDAS) Parenthesis, Exponents, Multiplication & Division ( from left to right) Addition & Subtraction ( from left to right ) Simplify each of the following: 8 2 * 6 - ( 3 - 9) (4 - 6)3 + 12 3 - 7

To evaluate an expression means to substitute for the variables in the expression and calculate the results. Evaluate 2 wl + 2 wh + 2 lh when w = 2 , l =3 and h = 5

Solve the following: 1) Use the formula d= ½ gt 2 to find the distance an object falls after 5 seconds. g = 9. 8 m/sec 2, d = distance and t = time in seconds.

2. Write each situation as an algebraic expression or sentence: a) Three less than two times a number is ten more than the same number. b) Six more than a number is less than five times that number. c) Justin has $750 in the bank. Each month he saves $25. How much money will he have after m months (assuming no interest)? d) Express the cost of w pencils at b cents per pencil.