Name: 

Evaluate 0.001³.

Which description about the number 462 is correct?

Evaluate 2⁰ + 2^–2.

Simplify .

Eric deposits $0.09 into a bank account that doubles the amount of money in the account every year. After 1 year the value of the account is $0.18, and after 2 years it is $0.36. What will the value of the account be after 15 years?

For what value of x do , , and have the same value?

Determine the product (x + 7)(x + 9).

Which pair of integers has a product of –60 and a sum of 4?

What is the factored form of ?

What is the factored form of ?

Determine the multiplication statement that is represented by the algebra tiles below.

Which multiplication statement is represented by the algebra tiles below?

Olivia walks to a friend’s house at a constant rate. After visiting for a short time, Olivia and her friend start walking back to Olivia’s house. On the way, they meet up with another friend. The three girls continue to walk at a slower pace. Olivia then realizes that she is late and walks at a faster constant rate until she gets home. Which distance-time graph represents this situation?

How many of the four relations shown below are linear?

x	y
–4	–1
–7	–3
–10	–5
–13	–7

Which scenario can be represented by a discrete relation?

Which of the following represents the range of the relation ?

Which graph represents a relation that is not a function?

Points and are on a line. What is the run from point D to point C?

The y-intercept of the line is

Identify the equation of the line with a slope of –2 and a y-intercept of –9.

What are the slope and y-intercept of this line?

When a linear equation is written in the form Ax + By + C = 0,  A and B cannot both be __________.

Using the table of values, determine the y-intercept of the line.

x	y
0	–4
1	2
2	8
3	14
4	20

Using the table of values, determine the slope of the line.

x	y
0	2
–2	14
–4	26
–6	38
–8	50

Answer the following questions using the information from the scenario below.

Globo-Gym charges a flat fee of $20 per month plus $4.00 per visit. Average Joe’s charges a flat fee of $30 per month plus $2.00 per visit. Let x represent the number of visits per month and let y represent the total cost per month, in dollars.

Identify the graph that represents this situation. 

Which of the following linear systems shows equivalent equations?

Benjamin and Mia run a buffet-style restaurant. It costs them $2400.00 for rent and utilities each month, plus an average of $5.00 per person for food. If they charge their customers $12.50 each, what are the costs at the point where the costs equal the revenue?

Determine the solution to the linear system and , using the substitution method.

Use the substitution method. The solution to the linear system 20x + 3y = –134 and –4x + 3y = 34 is

In the triangle, RS = 8 cm and tan = 0.444. What is the length of TS?

In , , , and . Determine the length of TZ, to the nearest metre.

What is the cosine ratio of ?

What is the value of sin 0°?

What is the value of cos 90°?

Determine the measure of M, to the nearest degree.

The Canada Pension Plan (CPP) employee contribution rate is 4.95% of a person’s gross pay up to a maximum of $2593.80 per year. The employer’s contribution rate is 4.95% of a person’s gross pay up to a maximum of $2593.80 per year. How much did the government collect in CPP payments for the year if the employee made $74 000.00 for the year?

Mei works at a candy store on Monday night where she earns $249.85 per month. Mei uses this money to pay for her cell phone plan that is $42/month, a transit pass for $49/month, and a yoga class for $50/month. If Mei wants to save $250 for a new bike, and she saves 40% of her paycheque per month, how long will it take to save the money?

Jamal is hired by the Ministry of Forests to plant trees for the summer. On average he plants 3300 trees per week and is paid $0.16 per tree. What is Jamal’s net pay at the end of the 2 weeks, if he has deductions of $121.44, $26.14 and $8.76 taken from his paycheque each week for income tax, CPP, and EI respectively?

Mirka receives a pay stub from she job as an athletic trainer. She is paid weekly.

Earnings Statement
Employee Name: Smith, Mirka
Occupation: Executive Assistant
Period End Date: March 20
Cheque Number: 1274

Earnings					Deductions
Description	Hours	Rate	Amount		Description	Amount
Regular Hours	40	15.25	610.00		Income Tax	415.94
Overtime	10	22.88	228.75		EI	33.01
Overtime	19	30.50	579.50		CPP	99.76
Vacation Pay			56.73
Gross Pay			1474.98		Total Deductions	548.71
					Net Pay	*****

Due to a computer glitch her Net Pay was not shown. What was Mirka’s net pay for the pay period?

Lucas receives a pay stub from his job as an executive assistant. He is paid bi-weekly.

Earnings Statement
Employee Name: Wong, Lucas
Occupation: Athletic Trainer
Period End Date: June 18
Cheque Number: 1317

Earnings					Deductions
Description	Hours	Rate	Amount		Description	Amount
Regular Hours	80	20.50	1640.00		Income Tax	748.02
Overtime	18	30.75	553.50		EI	21.46
Overtime	0	41.00	0.00		CPP	64.85
Vacation Pay			87.74
Gross Pay			2281.24		Total Deductions	834.33
					Net Pay	1446.91

What is Lucas’s gross pay for the year?

Evaluate using a calculator. Express the answer to four decimal places, where necessary.

Factor the trinomial .

Determine whether each relation is linear or non-linear. Explain your decision.
a)

b)
c)

Write the equation in slope-intercept form for the line that passes through points and ?

Is the point a solution to the system of equations? Support your answer algebraically.

A farmer uses a conveyor belt to move grain from ground level into a storage silo. The conveyor has a length of 5 metres. Its angle of elevation can be adjusted from 5° to 20°. The silo has an opening that can accommodate the conveyor belt at its lowest and highest settings. Determine the size of the opening of the silo, to the nearest tenth of a metre.

An amount of $1000 is deposited in a savings account and earns simple interest. The table shows the amount of money in the account at the end of each year.

Year	Amount ($)
0	1000
1	1100
2	1200
3	1300

a) Is this a linear or non-linear relation? Explain.

b) Graph the relation.


c) Which is the dependent variable? Which is the independent variable?

d) How long will it take for the account to reach a value of $1600?

Isabella earns $8 per hour working at a fast-food restaurant. She takes the bus to and from work for a total of $2 per day. Isabella’s daily net earnings can be represented by the function .

a) Make a table of values of Isabella’s net earnings for values of t from 0 to 4.

b) Graph the relation.


c) How much does Isabella earn if she works for 7 h?

Canada’s highest summits are located in the Yukon Territory. Two of these include Mount Saint Elias and Mount Steele. The heights of these two mountains are related by the following system of equations, where x and y represent the height of Mount Saint Elias and Mount Steele in metres, respectively.



Use the method of substitution to determine the two heights.