Terms & Definitions
A mathematical sentence stating that two expressions are equal.
What is an equation?
Simplify: -5x0
1
Find the value of x: 4x-6=10
x=4
Factorise: 6p-12q
6(p-2q)
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?
The answer that you get when you add numbers.
What is a sum?
Simplify: 5x2 ยท 3x4
15x6
Find the value of y: (y/3)+5=11
y=18
Factorise: 3x2+12x
3x(x+4)
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?
A symbol representing an unknown value that can change (e.g. y, x).
What is a variable?
Simplify: (4a3b-2)-1
b2/4a3 or 4a-3b2
Find the value of a: 2a+12=5a-3
a=3
Factorise: x2-x-12
(x+3)(x-4)
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 $8s + 5 = 53$?
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?
What is the most popular online game in the world?
Roblox
x=3/2
Factorise: 3x2+11x+6
(3x2+2)(x+3)
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?
In a fraction, this is the name of the bottom number.
What is the denominator?
Simplify: (a3b-4/a-2b5)2
a10/b18 or a10b-18
Are we the best, funniest, cringiest, most miraculous class ever?
ABSOLUTELY
Factorise: 6a2b-9ab2+4a-6b
(2a-3b)(3ab+2)
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?