Algebra Jeopardy!

Terms & Definitions

100

A mathematical sentence stating that two expressions are equal.

What is an equation?

200

The answer that you get when you add numbers.

What is a sum?

300

A symbol representing an unknown value that can change (e.g. y, x).

What is a variable?

400

In the algebraic expression $5x^2 - 3x + 8$, this is the specific name given to the number 8, because its value never changes.

What is a constant?

500

In a fraction, this is the name of the bottom number.

What is the denominator?

Algebraic Exponents

100

Simplify: -5x⁰

1

200

Simplify: 5x² · 3x⁴

15x⁶

300

Simplify: (4a³b^-2)^-1

b²/4a³ or 4a^-3b²

400

What is the most popular online game in the world?

Roblox

500

Simplify: (a³b^-4/a^-2b⁵)²

a¹⁰/b¹⁸ or a¹⁰b^-18

Solving Equations

100

Find the value of x: 4x-6=10

x=4

200

Find the value of y: (y/3)+5=11

y=18

300

Find the value of a: 2a+12=5a-3

a=3

400

Find the value of x: 3/(x²-1)-1/(x+1)=1/(x-1)

x=3/2

500

Are we the best, funniest, cringiest, most miraculous class ever?

ABSOLUTELY

Factorisation

100

Factorise: 6p-12q

6(p-2q)

200

Factorise: 3x²+12x

3x(x+4)

300

Factorise: x²-x-12

(x+3)(x-4)

400

Factorise: 3x²+11x+6

(3x²+2)(x+3)

500

Factorise: 6a²b-9ab²+4a-6b

(2a-3b)(3ab+2)

Word Problems

100

If John had 20 apples, he gave away 5, he divided the leftover apples into 6 parts, this many apples are in each part.

What is 2.5 apples?

200

To find the total cost of a gym membership, you use the equation $C = 25m + 50$. In this scenario, the condition is that you must pay a one-time sign-up fee, which is represented by this specific constant term.

What is $50?

300

An online clothing store charges $8 per shirt plus a flat shipping fee of $5. Under the condition that you want to spend exactly $53, this is the algebraic equation you would use to find the number of shirts ($s$) you can buy.

What is $8s + 5 = 53$?

400

A tech company uses the expression $150x + 1,200$ to calculate monthly revenue, where $x$ is the number of software licenses sold. In this expression, this is the mathematical name given to the number 150 because it is multiplied by the variable.

What is a coefficient?

500

A parking garage charges a flat rate of $10 plus $3 per hour. A competing garage charges no flat rate but $5 per hour. This is the condition (number of hours) under which both garages will cost the exact same amount.

What is 5 hours?