Chapter 1: The Language of Algebra You will learn: To use variables to represent unknown quantities Words to Learn: Variables: letters used to ______________ one or more numbers Variables expressions: expressions that include variables, ________________ and mathematical symbols Evaluate: find the ___________ of an expression Example: Evaluate the variable expression p – 9 if p is $72 p = 72 p – 9 = ** Subtract 9 from both sides or plug in p p – 9 = 63

Practice: 1)Evaluate the expression 150 * n for n = 12 2)m + 8 for m = 83) w – 4 for w = 124) 5 * p for p = 7 5) h / 2 for h = 30 6) 6 * e + 5 for e = 37) 2r for r = 5 8) p + 45 = 63 for p = $63

2.2 Understanding Exponents In this lesson, you will learn: to express numbers in exponents form Words to Learn Base: a _____________ (or variable) multiplied by itself Exponent: the number of times a base if multiplied by ____________ Exponent form: a number (or variable) ___________ as a base and an exponent

Practice: 1)4 *4 2) 7* 73) 6 * 6* 6 *6 4) 9 * 9 * 9 * 9 * 9 * 9 ___4 *4=_______ ____________ _______________ ____________________ 5)12 * 12 * 126) 2 * 2 * 2 * 2* 2*2*27) 8.5 * 8.5 _____________________________________ __________________ Express each value as a product. 8)49) 1010) 2511) 3 _________________________________ _______________ 12)213) 9714) 315) 6 to the third power __________________________________________________________

1.3 Using Grouping Symbols What you will learn in this lesson : to understand and use grouping symbols Words to learn: Parentheses: a _____________ symbol Brackets: another grouping _____________ Vinculum: a grouping symbol used to show ______________ Example: Evaluate each expression 3 + (4 *5) = [ ( 4 * ½ ) + 8 ] = 5 [ 2 + 8]

Practice: ( ) (3 + 4) - 5 __________________ ____________________________ 24 + ( )14 – ( a + b) ___________________________________________________________

t * ( n + 12) (16 – 9 ) _____________________________________________ Find the value of each expression 1)a. 18 – (5 * 3 ) b. (18 – 5) * 3 _____________________________ ___________________________________ 2) a. ( ) b ( ) ______________________________ _______________________________

1.4 Understanding Order of Operations In this lesson, you will learn: To understand the order in which mathematical operations are performed. Word to learn Mathematical operations: addition, subtraction, ______________, or division of ______________ and variables. P____________________ E____________________ M___________________ D____________________ A____________________ S_____________________