Chapter 1 (Uit 1) Patters ad Relatioships - Accommodated 1.1 Patters I Divisio /36 Divisibility Rule Cheats; A whole umber is divisible by 2 if it is a eve umber A whole umber is divisible by 4 if the last two digits of a umber divides by 4 (use your facts chart or a calculator) A whole umber is divisible by 5 if the umber i the oes digit is a 5 or a zero A whole umber is divisible by 8 if the last three digits of a umber divides by 8 (use your facts chart or a calculator) A whole umber is divisible by 10 if that oes digit is a zero 1. Which umbers are divisible by 4? By 5? Re-write all of these umbers below (x/7) a) 90 b) 134 c) 395 d) 1724 e) 30 f) 560 g) 3015 The umbers divisible by 4 are The umbers divisible by 5 are 2. Write a 5-digit umber that is divisible by 4. (x/1) 3. A umber is missig the tes digit. The umber is 51 3 6. What could the tes digit be if the umber is divisible by 2? By 4? By 8? Write all the possibilities below for each. (x/17) The possible choices for 2 are The possible choices for 4 are The possible choices for 8 are (modified do t have to do this questio) 4. Which umbers are divisible by 4? By 8? By 10? (x/11) a) 80 b) 216 c) 132 d) 350 e) 2160 f) 2092 The umbers divisible by 4 are The umbers divisible by 8 are (modified do t have to do this questio) The umbers divisible by 10 are 5. Omit questio (modified do t have to do this questio) 6. Omit questio (modified do t have to do this questio)
1.2 More Patters i Divisio /33 Divisibility Rule Cheats; A whole umber is divisible by 3 if the sum of the digits is divisible by 3 A whole umber is divisible by 6 if the umber is eve ad divisible by 3 A whole umber is divisible by 9 if the sum of the digits is divisible by 9 1. Which umbers are divisible by 0? By 6? By 9? (x/11) a) 92 b) 114 c) 216 d) 420 e) 636 f) 675 g) 1026 The umbers divisible by 0 are The umbers divisible by 6 are The umbers divisible by 9 are (modified do t have to do this questio) 2. Omit questio (modified do t have to do this questio) 3. Use divisibility rules to fid the factors of 132. (x/12) 4. Omit questio (modified do t have to do this questio) 5. Which of these umbers is 324 592 divisible by? State yes or o for each letter. (x/9) a) 2 b) 3 c) 4 d) 5 e) 6 f) 8 g) 9 h) 10 i) 0 6. Suppose you have 60 graola bars. You must share the bars equally with everyoe o the school bus. How may graola bars will each perso get, i each case? (x/3) a) There are 30 people o the bus. b) There are 15 people o the bus. c) There are 12 people o the bus (modified do t have to do this questio).
1.3 Algebraic Expressios /27 1. Write a algebraic expressio for each statemet. (x/7) a) Nie more tha a umber b) Eightee times a umber c) A umber divided by seve d) Twelve less tha a umber e) Six more tha eleve times a umber f) Eight times a umber is subtracted from 23 g) Thirtee subtracted from the product of three times a umber (modified do t have to do this questio) 2. Write each algebraic expressio i words. The evaluate each expressio for = 6. (x/12) a) 4 b) + 8 c) 2 d) 7 + 3 e) 10 15 f) 50 8 (modified do t do these questios) 3. A perso ears $6/h shovellig sow. Fid the moey eared for each time. (x/3) a) 4 h b) 9 h c) t hours 4. Which algebraic expressio ca be used to describe each phrase? (x/5) a) A umber decreased by 6 6 6 6 b) A umber divided by 2 a + 1 2 1 2 a a 2 c) Double a umber, the subtract 1. 2x 1 1 2x x 2 1 d) Five less tha four times a umber 5 4 4 5 4( 5) e) Twelve added to twice a umber 2 + 12 2( + 12) 12 2
1.4 Relatioships i Patters /12 1. Let represet ay term umber. Write a relatio for the term for each umber patter (x/3) a) Term Number 1 2 3 4 5 Term 7 8 9 10 11 b) c) Term Number 1 2 3 4 5 Term 7 14 21 28 35 Term Number 1 2 3 4 5 Term 4 7 10 13 16 (modified do t have to do this questio) 2. A equilateral triagle has three equal sides. Write a relatio for the perimeter of a equilateral triagle with side legth k. What is the perimeter of a equilateral triagle with a side legth of 15 cm? (x/2) 3. The cost of soccer jerseys for the soccer team is $50 for the iitial set-up, plus $15 for each jersey ordered. (x/4) a) Write a relatio for the total cost of j jerseys. b) Aother compay charges $80 for the iitial set-up, ad $12 per jersey. Write a relatio for the total cost of j jerseys for this compay. (modified do t have to do this questio) c) Which compay would charge less if you ordered 12 jerseys? (Show the cost for each) 4. Omit Questio (modified do t have to do this questio) 5. There are studets i the cocert bad. Write a relatio for each statemet. (x/3) a) the total umber of music stads, if each pair of studets shares oe stad b) the total umber of chairs, if there are 4 more chairs tha studets c) the total umber of sheets of music, if each studet has 7 sheets (modified do t have to do this questio)
1.5 Relatioships i Patters /6 1. Copy ad complete each table. Explai how the Output umber is related to the Iput umber. a) b) Iput 1 2 3 4 5 Output 14 Iput 1 2 3 4 5 Output 3 2. Omit Questio 3. Use algebra. Write a relatio for each Iput/Output table. a) b) (modified do t have to do this questio) Iput Output 1 9 2 18 3 27 4 36 5 45 Iput Output 1 11 2 16 3 21 4 26 5 31 c) d) (modified do t have to do this questio) Iput Output 1 4 2 9 3 14 4 19 5 24 Iput Output 7 1 21 3 35 5 49 7 63 9
1.6: Graphig Relatios /13 1. Admissio to the Carival is $4. Each game played costs a additioal $2. (x/5) a) Write a relatio to show how the total cost is related to the umber of games played. b) Create a table of values to show the total cost if you play 0, 2, 4, 6, 8, or 10 games. c) Graph the relatio o a grid. d) Use the graph to aswer these questios: (modified do t have to do this questio) i) How much would it cost to play 5 games? ii) How may games could you play for $26? 2. Math the liear relatios o each graph below to the real-life situatio described below the grids could represet. (x/3) a) b) c) i) The umber of books related to the umber of boxes, if each box holds 6 books ad there are 2 books ot i a box ii) The umber of eyes i the class related to the umber of studets iii) The umber of boxes of cookies I have left related to the umber I ve sold if I started with 14 boxes 3. Jey borrows $60 from her mother to get her hair highlighted. She promises to pay her mother $4 each week util her debt is paid off (hit, there will be a subtractio part to this equatio). (x/5) a) Write a relatio to show how the amout Jey owes is related to the umber of weeks. b) Make a table for the amout owig after 2, 4, 6, 8, ad 10 weeks. c) Draw a graph to show the relatio. d) Use the graph to aswer these questios. (modified do t have to do this questio) i) How much does Jey owe her mother after 12 weeks? ii) Whe will Jey fiish payig off her debt?
1.7: Readig ad Writig Equatios /14 1. Follow the steps to write each equatio. Let represet the umber. (x/2) For example: Thik of a umber =, multiply the umber by 2 = 2, subtract 1 = 2-1, the result is 19, what is the equatio? = 2 1 = 19 a) Thik of a umber: Multiply the umber by 4: Add six: The result is 62. What is the equatio? b) Thik of a umber: Divide it by 5: Subtract 3: The result is 9. What is the equatio? 2. Write a setece for each equatio. (x/4) (Choose ay two) a) + 11 = 15 b) 4 = 24 c) = 5 d) 3 + 4 = 19 6 3. Write a equatio for each setece. (x/4) (choose ay two) a) Two more tha five times a umber is 17. b) Shaw s age 9 years from ow will be 23. c) The perimeter of a regular hexago with side legth s cetimetres is 42 cm. d) The cost of three boxes of popcor at $3 each, ad two driks at x dollars each is $17. 4. Match each equatio with the correct setece. (x/4) a) + 3 = 6 A. A umber divided by three equals six. b) 3 = 6 B. The sum of a umber ad three is six. c) = 6 C. The product of a umber ad three is six. 3 d) 3 + 3 = 6 D. Three more tha three times a umber is six.