Grade 6 Math Review Unit 3(Chapter 1) Answer Key

Transcription

1 Grade 6 Math Review Uit (Chapter 1) Aswer Key 1. A) A pottery makig class charges a registratio fee of $ For each item of pottery you make you pay a additioal $5.00. Write a expressio to represet how much it would cost to joi the pottery class (for ay umber of pieces of pottery) B) Usig your rule, complete the followig table: # of pottery pieces Cost ($) We use 5 because it is $5 per piece of pottery. The is because we do ot kow how may pieces of pottery will be completed. We add 25 for the fee to joi the class which is oly paid oce, so it is oly added o oce. 2. Jaet wet to a amusemet park. She paid $15 to get i ad had to pay dollars per ride. # of Rides Cost a) Write a expressio to describe the relatioship i this table b) Use your rule to fid out how much she will pay if she wats to go o 8 rides. Show your work (8) Complete the followig tables: The patter i the output colum is goig up by, so I kow that the table rule will iclude...ad possibly aother step. To check, look at the first row. Usig will give me. To get 18 as my aswer, I eed to add 15. My complete rule will be This correspods to the situatio also. times the umber of rides (which we do ot kow) ad add 15 for the admissio fee which happes oce. Jaet will pay $9 to go o 8 rides at the park. I replace the, which represets the umber of rides, with 8. I multiply 8 by, which is the cost per ride. I have to add 15 to this amout because she had to pay $15 to get i. - 1 (1) (2) - () 6 4 (4) 9 5 (5) (1) (2) () (4) (5) (1) (2) () (4) (5)

2 4. Write a expressio for each situatio: a) Six groups of a umber 6 b) 12 less tha a umber - 12 c) 7 more tha a umber 7 + d) ie more tha double a umber e) A umber shared ways f) A umber less tha five 5 - g) Three less tha triple a umber - h) Aa is twice as old as her sister. How old is Aa? 2 i) I have two more pieces tha three packs of gum. How much gum do I have? + 2 j) Jami has four more pecils tha she has erasers. How may erasers does she have? _ Write a situatio for each expressio: a) This meas five more tha double a umber. Some ideas iclude: I have five more tha double. I paid $5 to get ito ad had to pay $2 for each b) This meas three less tha a umber. Some ideas iclude: I have three less cady tha Jeff I have less tha c) 4 This meas a umber less tha four. Some ideas iclude: I had 4 pecils ad gave some away. I have 4 ad Jo has some less tha me. d) 6 This meas six groups of a umber. Some ideas iclude: I have six packages of fruit roll ups I have 6 of e) 5 This meas a umber shared 5 ways/ split ito five groups. Some ideas iclude: I have some cady that I shared amog 5 people I have some that I shared/split ito 5 6. Draw a picture to represet this equatio: + 6 = 15

3 7. Write a equatio to match this picture: + 2 = 8 8. Create a equatio that is equivalet to = 14. Explai clearly how you did this. There are a ulimited umber of possible aswers to this questio. The importat thig is that whatever you do to oe side, you must also do to the other side. You must preserve equality. All you eed to do is pick a operatio to use ad a umber to use with it. For example, I will pick additio ad I choose to add the umber 4. (It ca be ay operatio ad ay umber). If I add 4 to oe side, the I will also add 4 to the other side. My ew equatio will be: = = 18 Add 4 to each side Equatio I started with: = 14 The ew equatio I created by usig preservatio of equality: = 18

4 9. The equatio = 5 is modelled o the balace scale. If 1 block is removed from the left side of this balace scale, what will you eed to do to preserve equality? To preserve equality, whatever I do to oe side I must also do to the other side. By doig the same thig to both sides, I will maitai balace o the scale ad both sides will still be equal. If oe block is take away from oe side the I must take oe block away from the other side as well. 10. The equatio 2 = 6 is modelled below. If the amout o the right side is doubled, what will you eed to do to preserve equality? To preserve equality, whatever I do to oe side I must also do to the other side. By doig the same thig to both sides, I will maitai balace o the scale ad both sides will still be equal. If l double oe side, the I must double the other side, as well.

5 11. The equatio 4 = 16 is modelled below. If oe side is divided by 4 what will you have to do to the other side to preserve equality? To preserve equality, whatever I do to oe side I must also do to the other side. By doig the same thig to both sides, I will maitai balace o the scale ad both sides will still be equal. If l divide oe side by 4, the I must divide the other side by 4, as well.