Name: 

Evaluate 0.1⁴.

Which description about the number 3375 is correct?

Which power is equivalent to ?

Express as an equivalent mixed radical.

Multiply and simplify (x – 7)².

Which of the following binomial multiplication expressions does the diagram represent?

The factored form of the expression 12t – 84 is

What is the expression –66x² + 24x + 18 in factored form?

Identify the factored form of x² – 10x + 16.

What is the factored form of x² – 3x – 10?

Which expression is an example of a difference of squares?

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?

Use the graph to answer the question(s) that follow.

The graph shows how the speed of a skier changes over time as she goes down the slope of a mountain.

Which statement describes what is happening to the skier as she moves from point D to point A on the graph?

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

Evaluate f(–2) for the function f(x) = 4x² – x + 5.

Which statement is not true about lines 1 and 2?

Which equation represents the line containing points M and N?

What is the equation 8x – 4y – 12 = 0 in slope-intercept form?

What is the value of p in the equation of the line px + 2y + 8 = 0, such that the x-intercept is 4?

Identify the pair of perpendicular lines.

Answer the following question(s) using the information from the scenario below.

FunNGames Video rents game machines for $10 and video games for $3 each. Big Vid rents game machines for $7 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?

Answer the following question(s) using the information from the scenario below.

Katrin is looking at banquet halls for her parents’ anniversary party. Moonlight Hall charges a fixed cost of $1000 plus $75 per guest. Riverside Hall charges $1500 plus $50 per guest. Let C represent the total cost, in dollars, and let n represent the number of guests.

Identify the statement that best describes the solution to this linear system.

Determine the value of P that gives a linear system with an infinite number of solutions.
4y = 2x – 4
2y + 2 = Px

Which of the following lines is parallel to 3(x + 2) – (y – 7) = 20?

Determine the solution to the linear system y = 3x – 13 and y = 5x – 19.

Bill has a large collection of baseball cards. He estimates that he has spent $361.00 on protective card holders and an average of $11.00 on each card. If he sells his cards at $30 each, how much money will he have made when his costs equal his revenue?

Use the elimination method. The solution to the linear system 15x + 5y = 185 and –4x + 5y = –5 is

Doris buys old lamps at the flea market and restores them to sell in her antique shop. It costs her $414 to rent a truck and $23 for each lamp she buys. She plans to charge $69 for each lamp. How many lamps must she sell for her costs to equal her revenue?

Choose the correct formula for the sine ratio of .

Determine the value of sin 28°, to four decimal places.

In , BC = 12 cm and tan . What is the area of , to the nearest square centimetre?

Which statement is incorrect?

Ben measures the length of the street he lives on to be 90 000 cm. Which of the following measurements is the same length?

Convert in. to centimetres. Round your answer to the nearest tenth.

Which of the following measurements is equal to 9 yd, to the nearest hundredth?

The school gymnasium floor needs to be resurfaced. Hardwood flooring costs $5.75 per square foot plus $2.25 per square foot for installation. The gym measures 67 m by 66 m. At this rate, how much will it cost to buy and install the hardwood flooring, to the nearest dollar?

Determine the volume of the right pyramid.

Which formula can be used to calculate the volume of a right cylinder?

A right cone with height 23 m has half the volume of a sphere with radius 6.2 m. What is the radius of the cone, to the nearest tenth of a metre?

A juice carton is shaped like a right triangular prism on top of a right rectangular prism. It is filled to 80% of the total volume of the container. How much juice is in the carton, to the nearest cubic centimetre?

Express each radical as a power.
a)
b)
c)

Determine the rise and the run from the first point to the second point.
a) P(2, 0) and Q(–2, 4)
b) R(–8, –5) and S(–3, –15)
c) T(1, 1) and U(–5, –11)
d) V(10, –20) and W(–30, 50)

Graph the equations y = x – 2 and x + y = 6 and determine the point of intersection.

Khalil decides to go parasailing while on vacation. The flyer advertises that the maximum height reached during the trip will be 68 m. If the parasailing cable is 91 m long, what angle will the cable make with the horizontal when Khalil reaches the maximum height? Answer to the nearest degree.

Determine the volume of each object, to the nearest tenth of a cubic unit.
a) a right cone with radius 2.2 cm and height 6.4 cm
b) a sphere with radius 5.8 ft

Brittany is checking whether the pool she wants to buy will fit in her backyard. The pool with the patio measures 4 m by 5 m. Refer to the diagram below.
a) Write an algebraic expression, in factored form, for the shaded area.
b) When Brittany measures her yard, she notices that x = 3, but she needs 20 m² for her dog to run. Will the pool fit in her yard?

A hockey arena sells game tickets for $150 each. The hockey team’s salaries, arena workers’ salaries, and other expenses are fixed at $45 000 per game, no matter how many tickets are sold.
a) Write an equation for the total amount of money, H, earned after expenses if t tickets are sold for a game.
b) How many tickets have to be sold for a game in order for the arena to earn $90 000 after expenses?
c) If the team sells 200 tickets for a game, how much money does the arena earn or lose after expenses?

Chris needs to make 500 L of a 35% acidic solution. He has only two of the acidic solutions available, a 25% solution and a 50% solution. How many litres of each acidic solution should he mix?

The roof shown in the figure below is to be covered with shingles. The exposed surface of each shingle is 20 cm by 30 cm. How many shingles are needed to cover the roof?