Practice Packet 6th Grade Math

1 6th Grade MathPractice PacketAn Collection byLaRhondaBeardenSteward Table of ContentsComplementary AnglesAlgebraic ExpressionsAlgebra Practice ProblemsGreater Than or Less Than? Comparing FractionsAdding ExponentsFraction Review: Addition, Subtraction, and InequalitiesMeasuring AnglesBeginning AlgebraComparing Algebraic EquationsNumber SequencesGraphing Ordered PairsGraphing Ordered Pairs #2 Comparing Decimal NumbersCombining Like TermsIntroduction to Algebraic ExpressionsAdding and Subtracting Mixed NumbersBuilding Exponents: Squares, Cubes, and RootsPractice with PolynomialsComplementary and Supplementary AnglesArea and Circumference of a CircleProperties of ParallelogramsLinear Equations: Add and SubtractLinear Equations PracticeTriangle AnglesMultiplying MonomialsProbability Darts 4 Multiplying Monomials #4 Dividing Monomials #4 Name:Copyright 2012-2013 by worksheets at by.

2 Complementary Angles30xSolve for angle = _____x = = = _____x = = = _____x = = _____(90 - 30 = 60)60 Algebraic ExpressionsSimplify the following ) 5a + 6a =2.) 3a + a =3.) 8a 3a = 4.) 10a 2a = 5.) 9a + 4a = 6.) 11a 7a =7.) 4b + 3b =8.) 12b 6b =9.) 5b + 9b =Complete the following ) 12 x 3 5 + 4 = 2.) 4 + 7 x 2 8 = 3.) 5 7 + 2 x 10 = 4.) 15 3 + 8 x 5 = 5.) 11 x 3 12 4 = 6.) 5 + 9 16 2 = Combine like terms to simplify the following ) 3a(a + 4) 2a + 7 = 2.) 5a + 3a 15 3 = 3.) 4(3 + 9) + 10a 4a = 4.) (21 7)(4a + a) 12 =5.) 17 + 4(3 + a) a = 6.) 10a 4a + 27 3 = Created by :Copyright 2011-2012 2012-2013 by More worksheets at 2623125851813341457672108101521474161224 3681182745222556334280100452547593446782 1351640284918216014412242510201046614457 7629913588106971124 Directions: 1.

3 Multiply or divide to nd a common denominator. 2. Then compare the numerator. 3. Write >, <, or = in the Than >, Less Than < or Equal =More worksheets at 2010-2011 by 2013-2014 by ExponentsAdding exponents may seem like a duanting task at first, but once we know a few key terms,you will find that adding exponents is not so bad at : 4 x 4 = ?This equation is the same as writing, 4 = 4 = 4 x 4 x 4 x 4 x 4 = 1,0241) 2 x 2 = ?2) 3 x 3 = ?3) 3 x 3 = ?For each problem below, first add the exponents if the bases are the same in the out your result and solve the ) 4 x 4 = ?5) 4 x 4 = ?6) 5 x 5 = ? 7) 5 x 5 = ?8) 6 x 6 = ?-Exponentiations are always written with a base number and an exponent :-When multiplying two exponentiations with the same base number, we can simply add their exponents to find our answer (3+2)53210456041235022 More worksheets at 2010-2011 by 2013-2014 by each problem below, add or subtract.

4 Show your work on another pieceof paper and write your answers on the lines 14121)=+14482)=+39133)= 13354)= 12235)= 127106)=+212367)=+174148)=+39139)= 1341210)=+57102111)12)13)14)15)14=+59727 28= 8204573= 2582094=+17351221 For each problem below, add or subtract fractions and then compare greater than (>), less than (<), or equal to (=). 120141)2)3)63 1201463+1451068+1727 573483 2146793414+46144)5)6)33+121223+235695 1384 181451+36123579 For each problem below, find the missing factor by computing the inverse )2)= 124=+1213)4)=+788= 587782113813385 Name:Measuring AnglesUse your protractor to measure each angle. This angle is_____ angle is_____ angle is_____ angle is_____ angle is_____ angle is_____ angle is_____ angle is_____ angle is_____ angle is_____ 2012-2013 by worksheets at by:Algebraic EquationsWrite out an algebraic equation for each ) Three more than twice a number is ) Five times a number decreased by three is ) Fifteen is ten increased by a the following algebraic ) 3X + 10 = 222.

5 24 4X = 43.) 5 2X + 17 = 18 Complete the following word problems using an algebraic ) Tanya wants to make an apple pie and has 5 apples. She needs 12apples to finish the pie. How many more apples does she need?2.) Steven wants to buy a game for $ He has saved up $ Howmuch more money does he need to buy the game?3.) Sarah is selling lemonade. She has sold a total of 14 cups. 4 cups weresold to adults and she sold 2 batches of lemonade to other children. Howmany cups were in each batch? Created by : Copyright 2011-2012 : Greater Than, Less Than or Equal To Determine the relationship between the algebraic equations.

6 Place > > > > (greater than), <<<< (less than) or = = = = (equal to) in the space provided. Where x = 31.) 5x + 4 _____ 3x + 15 2.) 2x + x _____ 6x 5 3.) x + 23 _____ 5x 4 4.) 6x 2 _____ 4x + 45.) 7x 2 _____ 4x + 4 6.) 3x + 5 _____ 6x 4 Where x = 71.) 3x x _____ 4x 14 2.) 2x + 10 _____ 5x 5 3.) 2x + 12 _____ 3x 4 4.) 6x 18 _____ 4x 4 5.) x + x + 7 _____ 5x6.) 8x _____3x + 2x + 15 Created by :Copyright 2012-2013 SequencesFill in the missing number that completes the 1 , 2 , ___ , 4 : the missing number is 31.)1.)1.)1.) 2 , 4 , ___ , 82.)2.)2.)2.) 1 , 5 , ___ , 13 3.)3.)3.)3.) 3 , 6 , ___ , 124.)4.)4.)4.) 5 , ___ , 15 , 20 5.)5.)5.)5.) 1 , ___ , 9 , 27 6.)6.)6.)6.) 4 , ___ , 16 , 327.)7.)7.)7.) 6 , 8 , ___ , 20 8.)8.)8.)8.) 4 , 5 , ___ , 10 9.

7 9.)9.)9.) 4 , 9 , 16 , ___ 10.)10.)10.)10.) 8 , 27 , 64 , 125 , ___ 11.)11.)11.)11.) 0 , 1 , 1 , 2 , 3 , 5 , ___ 12.)12.)12.)12.) 30 , 28 , 26 , 24 , ___ 13.)13.)13.)13.) 16 , 12 , 8 , ___ 14.)14.)14.)14.) 27 , 26 , 24 , 21 , ___ 15.)15.)15.)15.) 32 , 30 , 26 , 18 , ___ 16.)16.)16.)16.) 500 , 100 , 20 , ___ 17.)17.)17.)17.) 48 , 24 , 12 , ___ 18.)18.)18.)18.) 81 , 27 , 9 , ___ 19.)19.)19.)19.) 256 , 64 , 16 , ___ Created by :Copyright 2012-2013 Ordered Pairs 10 9 8 7 6 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9-10 Plot the ordered pairs below in the graph above to reveal a letter. 1.) (3 , -6) 2.

8 (-7 , 0) 3.) (-4 , 8) 4.) (9 , 0)5.) (4 , 9) 6.) (-7 , 3) 7.) (0 , 9) 8.) (7 , 7) 9.) (-6 , -2) 10.) (0 , -6)11.) (6 , -5) 12.) (-5 , 7) 13.) (-4 , -5) 14.) (9 , -1 ) 15.) (3 , 1)16.) (8 , -3) 17.) (9, 1) 18.) (8 , 5) 19.) (7 , 1) 20.) (-2, -6) Created by :Copyright 2012-2013 Pairs II 10 9 8 7 6 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9-10 Plot the ordered pairs below in the graph above. 1.) (8 , 3) 2.) (4 , -6) 3.) (-3 , 2) 4.) (-5 , -7) 5.) (7 , 4) 6.

9 (7 , -4) 7.) (-3 , 5) 8.) (-8 , -4) 9.) (6 , -2) 10.) (9 , 9)11.) (-2 , -6) 12.) (10 , 4) 13.) (0 , 0) 14.) (3 , 2) 15.) (-1 , -2)16.) (-4 , 2) 17.) (-6 , -3) 18.) (8 , -8) 19.) (-10 , -5) 20.) (-9 , 4) Created by :Copyright 2012-2013 Like Terms Combining Like Terms Combining Like Terms Combining Like Terms 1.) x + 2x = 2.) 2x x = 3.) 4x + 2x = 4.) 6x 3x = 5.) 5x + x = 6.) 2x + 2x = 7.) 7x 5x = 8.) 3x 2x = 9.) x + x = 10.) x + 2x = 11.) 4x 3x = 12.) 3x + 2x = 13.) 2x + 2x + x + x = 14.) 5x + x 2x + x = 15.) 3x + 2x x + 2x = 16.) 6x + 3x x x = 17.) 4x + 3 + x x = 18.

10 2x + 3x + 9 + x = 19.) 2x + 3 + 3x 1 = 20.) 2x + 5 + x x = 21.) 2x + 4y x + y = 22.) 2y + x + 3x y = 23.) x + y + 2y 4 = 24.) 5 + 2x + y + 2x 1 = 25.) 3y + 2 + 2y + 5 = 26.) 2x + 2y + x x + x = Created by : Copyright 2012-2013 Introduction to Algebraic ExpressionsCalculating an equation or expression using the following order:1. Anything in parentheses2. Exponents3. Multiplication and division, from left to right4. Addition and subtraction, from left to rightUsing the order of operations, complete the following algebra that have the same variables with the same like terms reduces multiple monomials into one monomial.