Name: 

Simplify .

Which expression represents the volume of a cube of edge length 8k?

Carbon-14 is a radioactive element with a half-life of 5700 years. If a sample contains 16 g of carbon-14 today, what mass of carbon-14 will it contain in 45 600 years? 

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

Which of the following is equivalent to ?

Which of the following is equivalent to ?

Multiply and simplify (7x + 4)².

What binomial multiplication expression does the diagram represent?

What is the factored form of the expression –14x + 14?

Suppose the area of a rectangle is represented by the expression 100x² – 49. When the expression is fully factored, the factors represent the dimensions of the rectangle. What expressions represent the dimensions of the rectangle?

What is the factored form of ?

Which multiplication statement is represented by the algebra tiles below?

How many of the four relations shown below are linear?

x	y
–4	–1
–7	–3
–10	–5
–13	–7

State the domain of this function in set notation.

Use set notation to state the domain of this function.

Which of the following represents the range of the relation ?

Which of the following represents the domain of the relation ?

Evaluate for the function .

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

Which equation represents the line containing points C and D?

A line passes through the point and has a y-intercept of 2. What is the equation of the line?

What is the equation of the line through points and ?

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

x	y
0	–5
1	–2
2	1
3	4
4	7

Give the equation of a line that goes through point A and is perpendicular to the line shown below.

What is the equation for the relation in the form y = mx + b?

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

FunNGames Video rents game machines for $16 and video games for $3 each. Big Vid rents game machines for $12 and video games for $4 each. Let y represent the total rental cost, in dollars, and let x represent the number of games rented.

Which statement best describes what the point of intersection of this linear system represents?

Use the substitution method to determine the solution to the linear system y = 4x + 34 and y = –2x – 26.

What is the y-coordinate of the solution to the linear system    and ?

Mia works at Electronics Plus for $15.00 per day plus $1.80 commission for each item she sells. Michael works at Techno Gadgets for $18.00 per day plus $1.50 commission for each item he sells. How many items must each of them sell in order for Mia and Michael to make the same amount of money in one day?

If , determine the measure of S, to the nearest degree.

If , determine the measure of Z, to the nearest degree.

In , QV = 9 cm and VB = 12 cm. Determine the tangent ratio of Q, to the nearest thousandth.

A surveyor, S, is measuring the width of a street, using a marker, M. The surveyor cannot measure the width directly, because there is too much traffic. She stands on the east side of the intersection. The marker is on the west side of the intersection, and is 18 m north of the intersection.  Determine the width of the street, to the nearest tenth of a metre.

Determine the length of x, to the nearest tenth of a metre.

If sin A = 0.5592, then the measure of A, to the nearest degree, is

A truck driver earns $21.75/h and works 7.75 hours. How much money did the truck driver earn?

A desk clerk works the late shift and earns $236.31 for the 7.25-h shift. A shift premium of $75.00 is paid for working later. What is the regular rate of pay/h?

Carmen earns an annual salary of $47 000. Her total deductions for the year are $9635.00, $3619.00, $2326.50, and $780.20 for federal tax, provincial tax, CPP, and EI, respectively each year. What is Carmen’s net pay for the year?

Jacob is hired by the Ministry of Forests to plant trees for the summer. On average he plants 3300 per week and is paid $0.19 per tree. Jacob has deductions of $144.21, $31.04 and $10.41 taken from his paycheque each week for income tax, CPP, and EI respectively. What percentage of his income does he take home at the end of 9 weeks?

Use the pay stub to answer the following questions.

Hunter receives a pay stub from his job as an executive assistant. He is paid weekly. Due to a computer glitch some of the calculations were replaced by “ *****”.

Earnings Statement
Employee Name: Smith, Hunter
Occupation: Writer/Editor
Period End Date: March 20
Cheque Number: 1285

Earnings					Deductions
Description	Hours	Rate	Amount		Description	Amount
Regular Hours	40	19.75	*****		Income Tax	203.99
Overtime	2.5	29.63	*****		EI	14.92
Overtime	0	39.50	*****		CPP	44.48
Vacation Pay			34.56
Gross Pay			*****		Total Deductions	*****
					Net Pay	*****

How much money did Hunter earn at a time and a half?

Quon is a chef. His regular pay is $21.35/h. If he works on a holiday, he receives a shift premium of double time for those hours. Calculate his gross pay for the following week.

Sunday	Monday - Holiday	Tuesday	Wednesday	Thursday	Friday	Saturday
8 h	6 h	Day Off	Day Off	9 h	5 h	10 h

Express as a power with a rational exponent. Do not evaluate.

Using a graph, determine the number of solutions for the following linear system.

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

Company A charges an initial setup fee of $105 and $25 a month for internet. Company B charges an initial setup fee of $75 and $30 a month for internet. After how many months would the two options cost the same?

What is the edge length of a cube that has the same volume as the rectangular prism below?

The distance-time graph illustrates Abigail’s walk in front of a motion sensor.


a) Identify the slope and explain what it means.
b) How long did it take Abigail to be 2.5 m from the sensor?

The local hockey arena sells tickets for $200 each for platinum seats that are closest to the ice. The arena charges $50 for gold seats that are farther back. The arena wants to earn at least $200 000 from the platinum and gold seats at each game. The numbers of platinum tickets sold for the first three games of the hockey season were 600, 550, and 500, respectively.
a) Write an equation in slope-intercept form that relates the number of gold and platinum seats sold when $200 000 in revenue is generated.
b) How many gold seats must be sold for each of the first three games to reach their revenue target for each game?

The initial cost for Mason and his band to record their first CD was $1500. Each CD will cost $5 to produce. If they sell their CDs for $10 each, how many must they sell before they make a profit?