Canada is rich in natural resources.

We have abundant water, yet we must conserve this resource.

The average Canadian toilet uses 20 L of water per flush.

a) About how many litres of water are flushed in one household per day? Justify your answer.

b) Suppose you installed a low-consumption toilet that used only 6 L of water per flush. How much water could you save in one day?

How is expanded form with powers of 10 like scientific notation? How are they different? Give examples to support your answer.

a) Write a 4-digit number that is divisible by 11 and 17.

b) Write the prime factorization of this number.

A cell phone company has a monthly service charge of $25 plus 10¢ for each minute or part of a minute of air time.

a) What is the cost if a person uses 100 min of air time in one month?

b) In each expression below, m represents the number of minutes of air time.

Which expression represents the monthly cost in dollars? Explain how you know.

i) \displaystyle10m + 0.25

ii) \displaystyle(25 + 0.10)m

iii) \displaystyle25 + 0.10m

iv) \displaystyle0.10 + 25m

c) Find the cost if a person uses 175 min of air time in 3 months.

Solve each equation. Verify the solution.

a) \displaystyle5 + x = 20 - 3

Solve each equation. Verify the solution.

b) \displaystyle11 = 2x - 9

Solve each equation. Verify the solution.

c) \displaystyle6 + 3x = 40 - 1

Three less than 5 times a number is 62.

What is the number?

Show your work.