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1 Worksheet # Order of Operations & Exponents Write in exponent form. Find the value. x x x x x 0 x x x x 0 Calculate. + - x 0 x ( - ) x - x ( + ) 0 x - ( + ) x

2 Worksheet # Least Common Multiple Find the LCM. and,, and, and, and and 0, and 0 and 0 0 and 0 and 0 0 and,, and, and

3 Worksheet # Ratios & Rates Write each ratio as a fraction in lowest terms. Write each rate as a fraction in lowest terms. 0 feet to 0 feet gallons in mins mph to mph females to males minutes to minutes $.0 for potatoes $00 to $0 correct answers out of questions Find the unit rate. 00 meters in seconds 0 miles per gallons. cars for 0 people $ for lbs of shrimp

4 Worksheet # Real Numbers: The Basics Fill in the operator (<, > or =) that makes the statement true. Find the number equivalent to the following absolute values Find the opposite of each number. Write TRUE or FALSE for each statement. - > = 0 - < - -. < - ( - ) > - -

5 Worksheet # Real Numbers: Adding & Subtracting Find the sum or difference as indicated. + ( - ) ( - ) - + ( - ) + ( - ) ( - ) + + ( - ) ( - ) ( - ) ( - ) + + ( - ) -. + ( -. ) - ( -. )

6 Worksheet # Real Numbers: Multiplying and Dividing Find the product. Find the quotient. Simplify. ( ) ( - ) - ( - ) ( - ) ( - ) ( - ) 0 ( - ) ( - ) - ( - ) ( ) ( - ) ( - ) ( ) -. ( - ) ( ) ( ) ( ) - 0 ( ) - - ( - ) ( ) ( - ) ( ) ( ) ( - 0. ) -

7 Worksheet # Algebra: Evaluating Expressions Evaluate each expression. Let n = + n Let S = S Let x = - - x + x Let p = - p Let m = 00 m 00 Let q = q 0 Evaluate. Let x = - and y = - x - y x y xy - xy x + y ( xy ) 0 x + y y - x x + y -

8 Worksheet #0 Algebra: Properties Identify the property as commutative, associative or distributive. a + b = b + a ab = ba a + ( b + c ) = ( a + b ) + c a(bc) = (ab)c a ( b + c ) = ab + ac a ( b - c ) = ab - ac a + b c a = + c b c Rewrite using the commutative property. x + y t + 0 pq Rewrite using the associative property. ( x + y ) + z x(yz) (ab)

9 Worksheet #0 Algebra: Properties (continued) Rewrite using the distributive property. 0 e ( g + h ) f ( j - s ) ( a + b ) ( x + ) ( x - ) a ( x + y + ) e + f g x + Rewrite by factoring. ab + ac b + c 0 x + x s - s ax + bx + cx

10 Worksheet # Algebra: Simplifying Expressions Collect like terms to find an equivalent expression. x + x x + y - x - y 0x - x - x + x + t + y - t - y - a - a x - x + + y - y - Remove parentheses to find an equivalent expression. 0 - ( + x ) - ( x + ) - ( - x - y + ) - ( 0x - ) - ( x + ) Remove parentheses and collect like terms to find an equivalent expression. y - ( x - y + ) a + a - ( a + ) y - - ( y - ) 0a - ( a - ) [ ( x + ) + x ] - [ ( y + ) - ( y - ) ]

11 Worksheet # Equations: Addition Principle Solve using the addition principle. x + = - m - = y = z +. =. e + = = q - t - = 0 n + = 0 = - + x 0 = b +

12 Worksheet # Equations: Multiplication Principle Solve using the multiplication principle. x = 0 y = - y = s = - v = x = n =.w =. = x 0 a 0 =

13 Worksheet # Algebra: Multistep Equations Solve for x. x - = x + = x - = + x ( x + ) = x + x = - ( x + ) = + x - x - 0 = - x + x - ( 0x + ) = + x x + = 0 + ( x - ) = 0

14 Worksheet # Algebra: Formulas Evaluate the following formulas. Use the given values to find the values of the remaining variables. P = s P = Find s. A = x + y + z x = y = z = Find A. A = x + y + z A = x = y = Find z. C F = + C = - 0 Find F. P = L + W L = W = Find P. P = L + W P = L = Find W. d = r t Find t. P = a + b + c Find b.

15 Worksheet # Algebra: Word Problems Jennifer has $ less than triple the savings of Matthew. Matthew has saved $. How much has Jennifer saved? Mark has consumed of a box of cookies, and Patricia has gobbled up another. If the box origonally had 0 cookies, how many are now left? Harold has typed more pages than Rebecca. Together they have typed a total of pages. How many pages have each of them typed? The sum of consecutive whole numbers is. What are the numbers? Jerome ate of the pizza. How much did that leave for Zachary?

16 Worksheet #0 Circles A circle has a diameter of km. What is the radius? Find the diameter of a circle whose radius is 0 miles. What is the value of π, rounded to the hundredths place? Find the circumference of a circle whose diameter is m. Find the circumference of a circle whose radius is. ft. Find the area of a circle whose radius is mm. Find the area of a circle whose diameter is yd. Find the area of a semicircle whose radius is cm.