Chapter Review on Algebra
Textbook
8 Math AW
Chapter
Chapter 1
Section
Chapter Review on Algebra
Solutions 46 Videos

Here are some data about voluntary organizations in 2003:

Canadians took out 139 000 000 memberships in these organizations.

Nineteen million Canadians contributed more than 2 000 000 000 h of voluntary time.

These organizations had $112 000 000 000 in revenues. Write a problem with these data. Solve your problem. Justify the strategy you used. Buy to View Coming Soon Q1 Write each number as a product of prime factors. 64 Buy to View Coming Soon Q2a Write each number as a product of prime factors. 42 Buy to View Coming Soon Q2b Write each number as a product of prime factors. 60 Buy to View Coming Soon Q2c Write each product in standard form. \displaystyle2^{4} x 3 Buy to View Coming Soon Q3a Write each product in standard form. \displaystyle5^{2} x 2^{2} Buy to View Coming Soon Q3b A number has 11 and 23 as factors. a) Which is the least number this could be? b) Which is the greatest number with these factors that can be displayed on your calculator? Buy to View Coming Soon Q4 Which expression shows the prime factorization of 600? Explain. a) \displaystyle1 x 2^{3}x 3 x 5^{2} b) \displaystyle2^{2}x 3 x 5^{2} c) \displaystyle2^{3}x 5^{2} x 3 d) \displaystyle2x 2 x 2 x 75 Buy to View Coming Soon Q5 For each pair of numbers below: i) Find all the common factors. ii) Find the first 3 common multiples. 15, 35 Buy to View Coming Soon Q6a For each pair of numbers below: i) Find all the common factors. ii) Find the first 3 common multiples. 20, 100 Buy to View Coming Soon Q6b For each pair of numbers below: i) Find all the common factors. ii) Find the first 3 common multiples. 25, 75 Buy to View Coming Soon Q6c For each pair of numbers below: i) Find all the common factors. ii) Find the first 3 common multiples. 30, 36 Buy to View Coming Soon Q6d a) Find two pairs of numbers for which the lowest common multiple is the product of the numbers. b) Find two pairs of numbers for which the lowest common multiple is less than the product of the numbers. c) How can you tell if the lowest common multiple of two numbers is less than or equal to the product of the numbers? Buy to View Coming Soon Q7 Here are the areas of the ten largest lakes in the world, tot he nearest 100 km^{2}. a) Order the lakes from the greatest area to the least area. Explained how you did this. b) Which two lakes together have an area approximately equal to that of Lake Superior? How do you know? Buy to View Coming Soon Q8 Write each number in expanded form using powers of 10. 9 337 000 Buy to View Coming Soon Q9a Write each number in expanded form using powers of 10. 977 183 Buy to View Coming Soon Q9b Write each number in expanded form using powers of 10. 106 040 055 Buy to View Coming Soon Q9c Write each number in expanded form using powers of 10. 73 532 Buy to View Coming Soon Q9d Write each number in scientific notation. 1 500 000 Buy to View Coming Soon Q10a Write each number in scientific notation. 42 000 Buy to View Coming Soon Q10b Write each number in scientific notation. 600 000 000 Buy to View Coming Soon Q10c Write each number in scientific notation. 27 Buy to View Coming Soon Q10d Write each number in standard form. 6 x 10^{3} Buy to View Coming Soon Q11a Write each number in standard form. 8.43 x 10^{6} Buy to View Coming Soon Q11b Write each number in standard form. 7.2 x 10^{5} Buy to View Coming Soon Q11c Write each number in standard form. 3.28 x 10^{8} Buy to View Coming Soon Q11d Evaluate. \displaystyle83 - 6 x 11 Buy to View Coming Soon Q12a Evaluate. \displaystyle15 + (3 + 12) x 6 Buy to View Coming Soon Q12b Evaluate. \displaystyle(20 - 9)^{2} - 3 x 2 Buy to View Coming Soon Q12c Evaluate. \displaystyle1.3 + 4.1^{2} - 15 Buy to View Coming Soon Q12d A rectangular lot has a river along one side. The fencing for the other 3 sides has a total length of 30 m. When the width of the lot is w metres, the area of the lot, in square metres, is expressed as \displaystyle30w - 2w^{2}. What is the area of the lot for each value of w? a) 5 m b) 9 m c) 12 m Buy to View Coming Soon Q13 Solve each equation. x + 2 = 7 Buy to View Coming Soon Q14a Solve each equation. x - 3 = 5 Buy to View Coming Soon Q14b Solve each equation. \displaystyle13 = 4 + x Buy to View Coming Soon Q14c Solve each equation. \displaystyle7 = x - 2 Buy to View Coming Soon Q14d Ruby collects foreign stamps. Her friend gives her 8 stamps. Ruby then has 21 stamps. How many stamps did Ruby have to start with? Let x represent the number of stamps. Then, an equation is \displaystyle8 + x = 21. Solve the equation. Answer the question. Buy to View Coming Soon Q15 Solve each equation. Verify the solution. \displaystyle3 + 11 = 5 + x Buy to View Coming Soon Q16a Solve each equation. Verify the solution. x - 3 = 11 - 8 Buy to View Coming Soon Q16b Solve each equation. Verify the solution. \displaystyle16 - 9 = x + 4 Buy to View Coming Soon Q16c Solve each equation. Verify the solution. x - 7 = 8 - 5 Buy to View Coming Soon Q16d Solve each equation. Verify the solution. \displaystyle6 + 3x = 17 - 2 Buy to View Coming Soon Q17a Solve each equation. Verify the solution. \displaystyle9 + 12 = 2x - 1 Buy to View Coming Soon Q17b Solve each equation. Verify the solution. \displaystyle5x - 3 = 9 - 2 Buy to View Coming Soon Q17c Solve each equation. Verify the solution. 14 - 3 = 4x + 7 Buy to View Coming Soon Q17d One paperback book costs$7. How many books can be bought for \$133?

Let x represent the number of books.

Then, an equation is \displaystyle7x = 133.

Solve the equation. Answer the question.

Coming Soon
Q18

Leah has 26 hockey cards.

Leah has 1 fewer than 3 times the number her brother, Robert, has. How many cards does Robert have?

Let x represent the number of cards Robert has.

Then, an equation is \displaystyle3x - 1 = 26.

Solve the equation. Answer the question.