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.

7 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.)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.

8 1.) (3 , -6) 2.) (-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.

9 1.) (8 , 3) 2.) (4 , -6) 3.) (-3 , 2) 4.) (-5 , -7) 5.) (7 , 4) 6.) (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.

10 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.) 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.