John Morrissey's Midterm Math Review

Systems of Equations

100

2x + y = 4

x + 3y = 7

(1,2)

200

3x + 2y = 11

-4x -6y = -3

(6,3 1/2)

300

how do you do substitution?

you solve one of the equations for either of the variables, then you substitute the equation for the variable, into the same variable of the other equation (Example: you solved Y, so you put Y's equation into Y's place in the other equation.), then you plug the solution of this equation into one of the original equations.

400

what are the three methods of solving a systems of equations?

Graphing, Elimination, and Substitution

500

How do you do elimination?

you multiply one of the two equations by a number that allows for one of the variables to be eliminated when both equations are added together. then you can solve for the remaining variable, an that will allow you to solve for the final variable.

Linear Equations

100

what is the X-intercept of y = 4x - 6

(3,0)

200

what is the equation of a standard form of a line?

Ax + By = C

300

where do the two lines intercept?

y = 5x - 3

y = 5x + 1

they are parallel, because they have the same x, and as such, do not intercept each other.

400

what is the formula for a slope-intercept linear equation

y = mx + b

500

what is the point-slope form of a line?

y-y₁ = m (x-x₁)

Parent Functions and Quadratics

100

what is the parent function of a quadratic equation?

f(x) = x^2

200

What is the parent function of a square root?

f(x) = √ x

300

what is the parent function of a Linear Equation?

f(x) = x

400

what is the parent function of an absolute value?

f(x) = |x|

500

What is the name of the line created by a Quadratic Equation?

The Parabola

Factoring

100

A² B² C³ = A³ B⁴ D²

A² B²

200

(m² + 2) (m - 1)

m³ - m² + 2m - 2

300

what does FOIL stand for?

First, Outer, Inner, Last.

400

(b³ + 3) (b - 2)

b³ - 2b³ + 3b - 6

500

A⁴ B⁵ C⁷ D⁸ = A⁵ B⁴ C⁷ E³

A⁴ B⁴ C⁷

HA! 5th Catagory? what 5th Catagory? the 5th Catagory is a MYTH!!

100

Wait, How did you get here? who are you people?

serioulsy, how did you get here? I guess here's 100 points? just- just take it and please leave. your not supposed to be back here. don't come back to this nonexistent catagory.

200

Uhhh- your not leaving. uhhh... well then. I guess I'll give you an unsolvable question. who was My middle-school math teacher?

Mrs. Caton! Ha! bet you didn't guess that!

300

what is the capital of the country of Liechtenstein?

The City of Vaduz.

400

What form of Government is the country of Monaco?

Monaco is a Monarchy, more specifically, a principality.

500

This is the hardest one. what country is the 3rd smallest country in the world?

it is Nauru. Nauru is an island nation in the southwestern Pacific Ocean. Bet you didn't know that, huh?