Equations+Review+1

=Review Questions from chapter 7= The following questions and their model answers were created by the students of MPM1D1–EE.

1)** Solve for p. p – 3 ÷ 7 = 4 ÷ 7 [Nabdou] 14)**X-3=12 15)x+4=12 (NNawar) **
 * 7.1
 * 2)** What is the result if you add – 3 + 2 to each side of an equation? [Nabdou]
 * 3)** There were 6 more apples than oranges in a basket. How many oranges are in the basket if there was a total of 10 fruits? [A.Choi]
 * 4)** In a classroom, there was 12 less of boys than girls. How many girls were in the classroom if there was a total of 30 students? [A.Choi]
 * 5)** Find a solution for each equation:
 * a)** χ² - 2.4= 6.12
 * b)** z² + 4= 24
 * c)** c² - 3.3 = 15.6 [N. Hussain]
 * 6)** Five more than a number is sixteen. What is the correct equation? Choose from below.
 * a)** 5 + x = 16
 * b)** -5 + 16 = x
 * c)** 16 + 5 = x
 * d)** 16 + x = 5 [N. Hussain]
 * 7)** Jennie got 8.5 out of 10 on her quiz,which is 0.5 more than George. Find out what did George got on his quiz.[S.Khokhar]
 * 8)** Five less than a number is 24.Let //x// represent the number. find the number.[S.Khokhar]
 * 9)** Seven more than a number is 17. whats the value of x .[M.Bazeghi]
 * 10)** The total money Susan has in her pocket is 7 dollars more than Josh has. Susan has 18 dollars. How much money does Josh has with him. [igamage]
 * 11)** Ashley is 8 years old, which is 9 years younger than the age of her sister Andie. Find Andie's age. [igamage]
 * 12)** Solve and Check. 9=8.2+x [V.Khan]
 * 13)** Solve and Check. Y- 1/7 = 5/7 [V.Khan]
 * 16)** sara has 15 chocolate bars left over from her halloween stash. This is 2 more than her friend Sally. How many chocolate bars does sally have? [Zbonse]
 * 17)** Mary ordered an assorted bouquet of flowers. There were 12 more lilies than violets. How many were violets are here if the bouquet is comprised of 50 assorted flowers? [Zbonse]
 * 18)** John has 5 less cards than annie. Annie has 220 cards, how many cards does John have?[R.Rajan]

1)** The average annual rain fall in toronto is 1/6 of the average annuel rainfall in Vancover. Tornoto averages 300cm of rain a year. Solve.[aalmadani]
 * 7.2
 * 2)** If an apple pie can be divided evenly into fifths, how many pies are needed to feed 60 people? [A.Choi]
 * 3)** $2400 was raised at a school fundraiser. The school is required to donate one- third of the money to a fundraising campaign and the rest to the school. How much money does each place get? [A.Choi]
 * 4)** Twelve dollars is divided by three friends. Which equation is suitable for this word problem? How much money does each friend get?
 * a)** 3x = 12
 * b)** 12 = 3 + x
 * c)** 12 = 3x [N. Hussain]
 * 5)** What is the answer to this equation: x² - 3= 9? [N. Hussain]
 * 6)** A paperback novel costs $9. How many novels can be bought for $153. Let x represent the number of novels. Find the number of novels that can be bought.[S.Khokhar]
 * 7)** The average height of Matthew is about one half of the average height of Celina. Celina's average height is 75 cm. Find Matthew's average height.[S.Khokhar]
 * 8)** Ten dollars is to be divided equally between 5 people,how much money does each person get.Let x represent the amount of money.[M.Bazegh]
 * 9)** The mark Christy got for her math test is 2 times higher than what Kevin got. If Christy's mark is 98%, then what did Kevin get? [igamage]
 * 10)** The side length of cube A is about one fifth of cube B. Cube A's lenth of one side is 15 cm. Find the side length of cube B. [igamage]
 * 11)**3x=15
 * 12)**12=3x [NNawar]
 * 13)** Christy's mom is 50. Christy is 1/5 of her mom's age. How old is Christy? [Zbonse]
 * 14)** Max has saved up 3/4 of the money he needs to buy a new bike. The bike costs $150. How much more money does Max need to save up for his new bike? [Zbonse]
 * 15)** Julie walks 1.8km more than mona. Mona walks 38.8km per day. How many Km's does Julie walk per day? [R.Rajan]


 * 7.3**
 * 1)** Heidi was 3 times as old as Monique. Monique was 5 years older than Cherry. Find Cherry's age if the sum of their ages was 50. [A.Choi]
 * 2)** June solved the following: //3y - 6 = 24// and got the answer: //y= 2.// What did she do wrong? What should the answer be? [A.Choi]
 * 3)** Jessica runs 7.4 km per week, and runs 0.31 km less than her little brother, Justin. Solve the following equation to find out how many km Justin runs: x = -0.3 + 7.4 [N. Hussain]
 * 4)** Jack went to Medical school for 18 years. This was 9 years longer than triple the number of years that Cal went to Medical school. Solve the equation: 3x + 9 = 15, to find out how long Cal went to medical school. [N. Hussain]
 * 5)** Alex is 16 years old. This is 2 years older than twice the age of Nicole. Solve the equation 2y+2=16 to find Nicole's age. [igamage]
 * 6)** The perimeter of a right triangle is 200 cm. Side lengths of the triangle is 2x, 3x, and 5x. Solve for x, then find the side lengths of the triangle. [igamage]
 * 8)**2y+11=10+12-4y
 * 9**)3x+4+10x-7+5x[NNawar]
 * 10)** Sean was an accountant for 17 years, which is 4 years less than thrice the number of years that his dad was an accountant. Find out how long sean's dad was an accountant.[S.Khokhar]
 * 11) k**evin is 11 years old. He is 5 years older than twice the age of her sister michelle. what is the age of michelle.[S.Khokhar]
 * 12)** Joe is 29 years old. He is 2 years older than 3 times the age of his neice. How old is Joe's neice? [Zbonse]
 * 13)** Harry ate 36 popsicle's while trying to break a world record. This is 2 less than 3 times the number of popsicles eaten. [Zbonse]
 * 14)** The volume of beaker A is 1.6 times the volume of beaker B. Beaker Bhas 160cm3. What is the volume of Beaker A? [R.Rajan]

p=4p-6 [igamage] 8)2(y-4)=54 [NNawar]
 * 7.4**
 * 1)** Paul was 30 years younger than his sister, Julie. 2 Years ago, 3 times of Paul's age was 20 years older than half of Julie. How old is Paul if the age of Julie now is //x + 30//? [A.Choi]
 * 2)** Solve the equation: (3//x// + 2)/2 = (4//x// - 5)/2 [A.Choi]
 * 3)** Matthew taught at St. Peters elementary school for 30 years. This is 14 years longer than twice the number of years that Mr. Thomas; who claims to be teaching at this school longer than Matthew. Solve the equation: 2x + 14 = 30, to find out how many years Mr. Thomas had taught in St. Peters. Who has taught longer, Matthew, or Mr. Thomas? [N. Hussain]
 * 4)** Justine, Brent, and Reggie all try to solve this equation: 7x = -4 + 8. Justine gets -4, Brent gets 6, and Reggie gets 4. Who is correct? [N. Hussain]
 * 5)** Lori has x pens. Ruby has5x pens. The number of pens Ruby has is equal to the number of pens Lori has plus 12. Solve x+12=5x to find the number of pens Lori has. [igamage]
 * 6)** Solve for p.
 * 7)** Solve for x ,12x+20=20x+4 [M.Bazeghi]
 * 9)** Corey has x stamps.Claudia has 4x stamps. The number of stamps Claudia has plus 27.find the number of stamps Corey has.[S.Khokhar]
 * 10)** Marilyn has y coins. Shawn has 3y coins. The number of coins Shawn has plus 14. Find the number of coins Marilyn has. [S.Khokhar]
 * 11)** Bob has x stamps in his stamp collection. Jill has x seashells in her seashell collection. Jill has 4 times the number of stamps plus 17. Who has the largest collection? Write the names of the collections in decsending order. [Zbonse]
 * 12)** Solve for //x// : 6//x//=5//x//+8 [Zbonse]

11) Stefan is comparing 2 cell phones. He wants one with the highest amount of battery. After six hours cellphone one has a battery of 50% left. If he takes the other phone divides by 3 and adds 7, he gets the battery amount for cellphone two. What percentage of the battery is left. Which phone should Stefan buy? [Zbonse] 12) Solve for //x//: 4(3//x//+2) - (6//x//-6) = 3(2//x+5//) [Zbonse]
 * 7.5**
 * 1)** George added $30 to his bank account. Later on, his account balance doubled. Jenny took out $20 from her account. How much money does each person have? [A.Choi]
 * 2)** Bob bought 5 more pencils to his collection. The next day, he bought twice as many pencils than he had did yesterday. His friend, Goo, has 4 less of pencils than Bob. How many pencils does each person have if Goo bought thrice as much? [A.Choi]
 * 3)** 70% of Earth is covered in water. If we take that percent and subtract it by 10 and double the difference, the answer is the percent of the Earth's land. Solve the equation: 2( x - 10) = 70, in order to find out the percentage of land on Earth. [N. Hussain]
 * 4)** Pauline wins 500 books. She decides to share them with her family. She gives Dianne 72, and Tony 78. She then misplaces 4, and donates 120 to a charity. Her friends give her 83 books. How many books is she left with? Is she left with more books than she recieved from the beginning, or less? [N. Hussain]
 * 5)** Using the equation 2 (2n+3) + 2 (n+5)= 40, find the measurements of the rectangle. [igamage]
 * 6)** Rosie's french mark in her exam is 80%. If she take Ali's mark, subtract 2, and double the difference, the answer is her own mark. Find Ali's mark. [igamage]
 * 7)**15x+17=12x-4
 * 8)**3y-4+2y+7y-12
 * 9)** Perimeter of rectangle is 26cm. length is 3x+2 and width is x+3. find the measurements of the side lengths.[S.Khokhar]
 * 10)** Cagney's math mark average is 89 percent. if he takes ruby's book,subtract 5, and doubt the difference,the answer is ruby's mark. find ruby's mark.[S.Khokhar]

1)** Corado spends 0.15 or 15% of his day working. Solve the equation to find out the fraction of the day he spends working: 4x - 0.05 = 0.15. [N. Hussain]
 * 7.6
 * 2)** Jake spends 45% of his day at school. Solve the equation: 3f + 12 = 45, to find out the fraction ot time he spends at school. [N. Hussain]
 * 3)** The sum of two consecutive real numbers is one half of 45. Find the numbers. Answer may be in decimal. [A.Choi]
 * 4)** Lenny has half a slice of pizza more than Kate. Kate has one-third of 9 slices. How many slices does Lenny have? [A.Choi]
 * 5)** Abby spends 45% or 0.45 of the time studying. Solve the equation 8x-0.21=0.45 to find the time Abby spends without studying. [igamage]
 * 6)** George has 2 dollars more than one fifth of the money Bess has. If George has 10.5 dollars, find the amount of money Bess has. [igamage]
 * 7)**X-2÷3
 * 8)**Y+4÷12
 * 9)** Cathy's weight is 3405 kg.her weight is 4 kg more than 1/2 the weight of her brother. find the weight of Cathy's brother.
 * 10)** Jeremy's car has 13.5 L of gas in his car tank, which is 5L less than 1/4 of gas in Claudia's tank. how much gas is in Claudia's tank.[S.Khokhar]
 * 11)** Maya is making punch for 25 people. Jerry is making lemonade for the same number of people. Maya uses three litres of water and 2 1/2 litres of concentrate. Jerry uses 1 1/5 litre of lemon juice and 2 litres less than 2 times the number of litres Maya used. How much water did Jerry use? [Zbonse]
 * 12)** Solve. 3.4 - 6.6= -3.2x2//n// [Zbonse]

1)** Write the following statement as an equation: Jacob's age six years ago was eleven. [N. Hussain] 9) Hockey teams’ receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 56 points. They won 10 more games than they tied. How many wins and how many ties did the team have? [R.Rajan]
 * 7.7
 * 2)** Write the following equation as a statement: 3 more than a number is 18. [N. Hussain]
 * 3)** An equilateral triangle has side lengths of 2//x//+2 and a perimeter of 30cm. What is the equation to find the lenth of each side if we extended one of the sides by 10cm? (Perimeter stays the same as 30cm) [A.Choi]
 * 4)** 20 less than a number is one-fifth of 100. Write the equation to find the number. [A.Choi]
 * 5)** Length of a rectangle is x+3 and width is x. The perimeter is 42 cm. Write an equation to find the dimentions of the rectangle. [igamage]
 * 6)** Side lengths of a triangle are x, 3x, and x+5. The perimeter is 38 cm. Write an equation to find the dimentions of the triangle. [igamage]
 * 7)** Jason is sixteen years older than Sarah . The sum of their ages is 24, how old is sarah?. Let x represent Sarah's Age.[M.Bazeghi]
 * 8)**The population of china is 5 times the population of Canada .The sum of the population is 320[NNawar]
 * 9)** Julie is 8 years younger than Sophie. the sum of their ages is 22.[S.Khokhar]
 * 10)** Lucy is twice the age of Stephen. the sum of their ages is19.[S.Khokhar]

1)** The following statement has two unknowns. Represent them both in "x". There are 60 pennies and loonies. [N. Hussain]
 * 7.8
 * 2)** This statement has two unknowns. Represent them both in "y". That new bakery sold 173 pastries and buns already! [N. Hussain]
 * 3)** The sum of three consecutive numbers is 15. Find the numbers. [A.Choi]
 * 4)** The width of a rectangle is 6 more than the length. Find the dimensions of the rectangle if the area was 42cm^2. [A.Choi]
 * 5)** Sum of Becky's and Ron's ages is 44. Becky is 10 years older than Ron. What is Becky's and Ron's ages? [igamage]
 * 6)** The sum of 4 consecutive numbers is 124. Find the numbers. [igamage]
 * 7)** The sum of two numbers is 40, twice the first number and plus four times the second is 120. What are the numbers? [M.Bazeghi]
 * 8)**The sum of 4 consecutive whole numbers is 165[NNawar]
 * 9)** Burj dubai is 298m taller than the CN Tower. the sum of both their heights is 1372 m. how tall is each building.[S.Khokhar]
 * 10)** sum of 2 consecutive numbers is 97. find the numbers.[S.Khokhar]

1)** Philip and Lennie run a 1 meter race. Philip finishes in 2x = 4 - 16 seconds, and Lennie finishes in 3x = -12 + 21 seconds. Judges say that they came really close. Who won the 1 meter race? Philip or Lennie? [N. Hussain]
 * 7.9
 * 2)** Solve this equation: g² - 12 = 42. [N. Hussain]
 * 3)** Find the distance between Toronto and Paris if a plane flew to Paris at 800 km/h and 700 km/h back to Toronto. The total flying time was 15 hours. (//Hint: D=vt, where "d" is distance, "v" is volacity(speed), and t is time)// [A.Choi]
 * 4)** Perimeter of a rectangle is given by the formula p=2 (l+w), where l is length and w is width. Evaluate w for p=40 cm and l=13 cm.[igamage]
 * 5)** Perimeter if a square is given by the formula p= 4(s), where s is side length. Evaluate s for p=56 cm.[igamage]
 * 6)** Distance traveled by a train is given in the formula d = 250 t. how far does the train travels in 5h?10h?[S.Khokhar]
 * 7)** Distance traveled by Will is given in the formula d = 300 t. how far does Will travel.[S.Khokhar]

1)** 3.7+T=6.4
 * 7.1 solve
 * 2)** X-3=11 [HTahir]

1)** 4x=20
 * 7.2 solve
 * 2)** 2.5x=5 [HTahir]

1)** Y/2=6-3
 * 7.3 solve
 * 2)** 4+x=20 [HTahir]

1)** 2x=-30+5x
 * 7.4 solve
 * 2)** 4n=3.6-2n [HTahir]

1)**2(x-3)+(x+3)=6x
 * 7.5 solve
 * 2)** 5(2x-3)=2(x+7)+11 [HTahir]

1)** x/f=1/2
 * 7.6 solve
 * 2)** 8/10=n/5 [HTahir]

1)** a number subtracted by 7
 * 7.7 find the expression
 * 2)** a number multiplyed by 8 [HTahir]

1)** the sum of 3 consecutive whole numbers is 105, find the numbers
 * 7.8 solve the problems
 * 2)** the lenght of a rectangle is 5cm more then its width. its perimeter is 90m. what are its demensions [HTahir]

1)** find c if I=8cm and W=5cm
 * 7.9 If C=IW
 * 2)** find I if C=238m and W=14m [HTahir]

1)** 1,7,13...
 * 7.10** **complete the pattern for three more number
 * 2)** 4,8,12... [HTahir]

Hamza Khan Equations questions 7.1-7.5 #1-25

1.-11 = t-1 2. X + 3= 9 3. 2 + X = -4 4. 7 = X – 5 5. X – 1 = 5 1. 2y = -12 2. 2x = -8 3. 2x = 8.4 4. X/3 = 9 5. Y/7 = 4 1. 2- 1.8r = 11 2. 2y – 5 = 9 3. 3 + m = -7 4. 4 + X = 20 5. 5n + 2n = -14 1. 7Y = 20 + 3Y 2. 3M = M + 4 3. 7N = 4N – 6 4. 2X = -30 + 5X 5. 4N = 3.6 – 2N 1. 2 (X – 3) = 2 2. 2 (X + 6) = -6 3. 3 (2X + 3) = -3 4. 2 (x + 5) = -4 5. 2 (x + 1) = 4
 * 7.1 **
 * 7.2 **
 * 7.3 **
 * 7.4 **
 * 7.5 **