( ) + 3( 4) ( ) ( ) ( ) ( ) You try: Choose Yes or No to indicate if the expressions below are equivalent to the value. 1 Evaluate the expression

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1 1 Evaluate the expression when x = 3. x x x ( 9) 6 5 x x x = = + + = = = = EE.c Simplify the following expression showing every step using decomposition: ( ) ( 3 3) = + = 8+ 9 = 17 6.EE.1 1 You try: Choose or to indicate if the expressions below are equivalent to the value of 3x + 3x x 6 when x= 1a) Y N 1b) Y N 1c) 8 Y N You try: Simplify the following expression showing every step using decomposition: Decompose the expression 3a + 1 and rewrite by factoring out the GCF. Decomposition = 3ia 3a +1 + ( 3ii) + 3 = 3 a = 3 a + Area Model 3a + 1 a + 3 3a + 3 ( a ) = You try: Choose True or False to show which expressions are equivalent to y a) ( y + 16) 3b) y + 3c) ( y + ) 3d) y+ y+ y+ y True + ( iiii) False 3e) i y 6.EE.3 Page 1 of 8 MCC@WCCUSD (NewarkUSD) 1//15

2 5 Find the quotient three different ways: Multiply by Divide Common Reciprocal Across Denominator = 7 9 i3 = = = 1i3i7 = = i3i i 3i7 = = i 3i3 3 1 = 1 = 7 6 or 11 6 = = or 1 3i1 6 6 = 5i7 3ii5 = 7 6 or 11 6 Find the quotient using different methods. 6 8 Partial Quotients = 78 Area Model: Standard Algorithm Convert to a fraction 6 8 = 6 8 = iiii3i13 ii = i3i13 = 78 6.NS.1 6.NS. 5 5a) You try: Choose or to show if the following expressions are equivalent to 1 5 a) b) c) d) i5 1i 3i 1i5 You try: Choose or to show if the following methods are used correctly to find the quotient of b) i3i3ii71 3i 5c) Page of 8 MCC@WCCUSD (NewarkUSD) 1//15

3 6 Find the product of. i.15 using different methods. Partial Products Convert to Fraction.. i = = i1 i5 3i5 i 5ii5 = ii3i3 5iii5 = 9 or.36 5 or! " You try: Find the product of.3 i 1.5 using three different methods. Area Model using a Generic Rectangle = =.36 Standard Algorithm or.36 6.NS.3 7 Jason drove his car 1 miles at an average speed of r miles per hour. If he drove for.5 hours, what was his average speed? Use the formula distance equals rate times time or 1 = r =.5r = r 5i i1 = r 5 = r 1 = r 5 = 5 r 1 ( 1) = 5r i5i = 5r 5 5 = r Jason drove at an average speed of miles per hour. 6.EE.7 7 You try: Jennifer rode her bike 1 miles at an average speed of r miles per hour. If she rode for 1.5 hours, what was her average speed? Page 3 of 8 MCC@WCCUSD (NewarkUSD) 1//15

4 8 Determine the LCM of and 36. Prime Factor: = iii3 36 = ii3i3 Bubble Method: = iii3 36 = i i 3i3 8 You try: Determine the LCM of 18 and. 33 gggg 3 3 LCM = iii3i3 = 7 Place all the factors of into the bubble. Compare the factors of 36 to what is already represented. Is there a nd 3 in the bubble? Standard Algorithm = iii3 36 = ii3i3 9 LCM : 3 i Use the coordinate plane below to help you answer the questions. 6.NS. 9 You try: Use the Coordinate plane below to answer the questions that follow. A Write the coordinates of point L Write the coordinates of point A above( 3, ) In what quadrant is point A located? II Is point ( 3, ) located in quadrant IV? 6.NS.6 In what quadrant is point L located? Write the coordinates of point K Is point K located in quadrant III? Page of 8 MCC@WCCUSD (NewarkUSD) 1//15

5 1 Bobby is helping to collect money for the basketball team. The team decided to sell boxes of pencils. Each pencil sells for 5 cents and each box contains pencils. 1 You try: Alana is helping to raise money for her leadership class. The class decided to sell boxes of wristbands. Each wristband sells for $ and each box contains 1 wristbands. a) Complete the table below which shows the money collected, m, for numbers of boxes sold, b. a) complete the table below which shows the money collected, m, for numbers of boxes sold, b. Boxes, b m 1 $1 $ 3 $3 5 b) Write an equation for the amount of money, m, in dollars that will be collected if b boxes of pencils are sold. Boxes, b m 1 $ 3 b) Write an equation for the amount of money, m, in dollars that will be collected if b boxes of wristbands are sold. m= 1b c) Which is the independent variable and which is the dependent variable? c) Which is the independent variable and which is the dependent variable? b is the independent variable and m is the dependent variable. d) Calculate how much money will be collected if 5 boxes of pencils are sold. d) Calculate how much money will be collected if 3 boxes of wristbands are sold. m= 1b m = 1 5 m = 5 $5 will be collected if 5 boxes of pencils are sold. 6.EE.9 End of Study Guide Page 5 of 8 MCC@WCCUSD (NewarkUSD) 1//15

6 1 3 You Try Solutions: You try: : Choose or to indicate if the expressions below are equivalent to the value of 3x + 3x x 6 when x= 1a) Y 1b) N 1c) 8 N You try: Simplify the following expression showing every step using decomposition: ( ii) = 5i5 = = 89 You try: Choose True or False to show which expressions are equivalent to y a) ( y + 16) True False 3b) y + True False 3c) y + 3d) y+ y+ y+ y True False 3e) ( i y) + ( iiii) True False 5 5a) You try: You try: Choose or to show if the following expressions are equivalent to 1 5 a) b) c) d) i5 1i 3i 1i5 You try: Choose or to show if the following methods are used correctly to find the quotient of b) i3i3ii71 3i 5c) Page 6 of 8 MCC@WCCUSD (NewarkUSD) 1//15

7 6 You try: Find the product of.3 i1.5 using three different methods. Partial Products Convert to Fraction.3.3 i Area Model using a Generic Rectangle = =.8 = = i8 i5 3i5 i5 = ii3 5i5i = 1 or.8 5 Standard Algorithm or You try: Determine the LCM of 18 and. Prime Factor: 18 = i3i3 = i3i7 Bubble method: 18 = i3i3 = i 3i7 337 ggg LCM = i3i3i7 = 16 Standard Algorithm 18 = i3i3 = i3i7 LCM = i i7 = 16 You try: Use the coordinate plane below answer the questions that follow. 7 You try: Jennifer rode her bike 1 miles at an average speed of r miles per hour. If she rode for 1.5 hours, what was her average speed? 1 = r = 1.5r 1.5 3i = r 3i7ii5 = r 15 i 3i5i7 = r 3i5 1 = r 1 1 = r 3 = r ( 1) = 3r i3i7 = 3r = r Jennifer rode her bike at an average speed of 1 miles per hour. Write the coordinates of point L ( 8, 7) In what quadrant is point L located? IV Write the coordinates of point K ( 8,5) Is point K located in quadrant III? Page 7 of 8 MCC@WCCUSD (NewarkUSD) 1//15

8 1 You try: You try: Alana is helping to raise money for her leadership class. The class decided to sell boxes of wristbands. Each wristband sells for $ and each box contains 1 wristbands. a) complete the table below which shows the money collected, m, for numbers of boxes sold, b. Boxes, b m 1 $ $8 3 $7 b) Write an equation for the amount of money, m, in dollars that will be collected if b boxes of wristbands are sold. m= b c) Which is the independent variable and which is the dependent variable? b is the independent variable and m is the dependent variable. d) Calculate how much money will be collected if 3 boxes of wristbands are sold. m= b m = 3 m = 7 $7 will be collected if 3 boxes of wristbands are sold. Page 8 of 8 MCC@WCCUSD (NewarkUSD) 1//15