Math 7 Flipped Mastery Self Tester Worksheet Name: Class:. Chapter 1 (Unit 1) Patterns and Relationships - Accommodated 1.1 Patterns In Division /36

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1 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 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)

2 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 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).

3 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) e) 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 b) A umber divided by 2 a 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) e) Twelve added to twice a umber ( + 12) 12 2

4 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 Term b) c) Term Number Term Term Number Term (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)

5 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 Output 14 Iput 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 Iput Output c) d) (modified do t have to do this questio) Iput Output Iput Output

6 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?

7 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) = 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 $ 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) = 6 D. Three more tha three times a umber is six.

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