Algebraic Universe

Solve for X

1000

Solve for x: 5x-12=3x+8

x= 10

2000

Solve for x: 4(x-2)=20

x= 6

3000

Solve for x: x/4+5=9

x= 16

4000

Solve for x: 2x+3=3x-9

x=12

5000

What is the 3rd step for solving for x?

Diddy Blud Sigma boy

Factor This

1000

Factor the expression: x²+7x+12

(x+3)(x+4)

2000

Factor the expression: 4x²-25

(2x-5)(2x+5)

3000

Factor the expression: 2x²+6x+2

(2x+1)(x+2)

4000

Factor the expression: 6x+9

3(2x+3)

5000

What is the symbol that is used to to separate factors?

Parenthesis 

Linear Goats

1000

 This term describes the steepness of a line, often written as rise over run.

Slope

2000

 In the equation y = 3x − 7, this value is the y‑intercept.

-7

3000

A line with slope 0 is always this type of line.

Horizontal

4000

The line passing through (2, 5) with slope −3 has this equation in slope‑intercept form.

y=-3x+11

5000

These two lines are considered parallel if and only if this property is the same for both.

Their slopes

Function Junction

1000

A relation is considered a function only if each input has exactly one of these.

Output

2000

The graph of a linear function will always pass this test if it truly is a function.

Vertical line test

3000

In the function f(x) = 3x − 7, the number −7 represents this part of the function.

Y-intercept

4000

If f(x) = x², then f(−4) equals this value.

16

5000

A function whose graph increases at a constant rate is known as this type of function.

Linear Function

Quadratic Madness

1000

a quadratic function always has the highest-degree term?

An x² term

2000

The graph of any quadratic function forms this type of curve?

A parabola

3000

For the quadratic f(x)=x²-6x+9, the vertex occurs at the x-value

3

4000

The discriminant of a quadratic determines this key feature

The number of real soulutions

5000

The quadratic x²+4x+5 has this type of solutions

Two complex solutions