Wizard Duel

Wizard Duel

Use the power of algebra to defeat magical creatures and earn points for your house!

Weakness: Writing inequalities in standard form

Opponent: Bowtruckle

Multiple Choice

A river rental location lends people canoes and kayaks. Canoes seat two people and kayaks seat one person. Which inequality represents all possible combinations of x, the number of canoes, and y, the number of kayaks, that could be rented for a group of 20 people or less?

• 1x + 2y ≤ 20

• 2x + 1y ≤ 20

• 1x + 3y ≤ 20

• 3x + 2y ≤ 20

Weakness: Solving for slope from a table

Opponent: Puffskein

Math Response

Determine the slope from the table.

Type answer here

Correct Answer: -\frac{6}{5}

Deg^°

Rad

Weakness: Solving for slope from two points

Opponent: Niffler

Math Response

A line contains the points (-23, -23) and (9, 12). What is the slope of the line?

Type answer here

Correct Answer: \frac{35}{32}

Deg^°

Rad

Weakness: Identifying zeroes

Opponent: Mandrake

Math Response

What is the zero of this graph?

Type answer here

Correct Answer: 2

Deg^°

Rad

Weakness: Identifying y-intercepts

Opponent: Troll

Math Response

What is the y-intercept of this graph?

Type answer here

Correct Answer: 11

Deg^°

Rad

Weakness: Writing equations in slope-intercept form

Opponent: Phoenix

Math Response

Write the equation in slope intercept form given slope 4 and point (9,3).

Type answer here

Correct Answer: y=4x-33

Deg^°

Rad

Weakness: Solving word problems

Opponent: Hippogriff

Math Response

The total distance in meters a bottle rocket travels varies directly with the time in minutes. The bottle rocket travels a total distance of 270 meters in 4 minutes. What is the time in minutes the bottle rocket travels when the total distance is 432 meters, assuming a constant speed?

Type answer here

Correct Answer: 6.4

Deg^°

Rad

Weakness: Solving for terms in sequences

Opponent: Unicorn

Math Response

A sequence is defined by $$f\left(n\right)=\frac{2}{5}\left(2n-3\right)$$ for each whole number n, where n > 0. What is the fourth term of the sequence?

Type answer here

Correct Answer: 2

Deg^°

Rad

Weakness: Finding the roots of functions

Opponent: Dementor

Math Response

What is the root of the function graphed above?

Type answer here

Correct Answer: -3

Deg^°

Rad

Weakness: Graphing functions

Opponent: Nagini

Graphing

Please graph the line y = (7/5)x - 3

Weakness: Finding x- and y-intercepts

Opponent: Basilisk

Multiple Choice

What are the x- and y-intercepts of the equation 5x+10y=50?

• x-intercept: 0

  y-intercept: 10

• x-intercept: 10

  y-intercept: 5

• x-intercept: 5

  y-intercept: 0

Weakness: Writing equations in slope-intercept form

Boss Level: Dragon

Math Response

What is the equation in slope-intercept form for a line with points at (-2, -22) and (1, -10)?

Type answer here

Correct Answer: y=4x-14

Deg^°

Rad

​You've proved your algebra wizardry!
Yer a mathematician, Harry!

Congratulations!