UB Math Review 1 (Seniors)

Linear Equations

100

The slope of a line represents the change in this value for every corresponding change in the x value.

y

200

The well-known y=mx + b equation is said to be in this form.

Slope-intercept

300

When a line crosses the y-axis, its equation takes on this value for x.

0

400

If two lines have the same slope and y-intercept, then they share this many points.

All/infinite

500

If the slope of one line is 4, what will be the slope of any line perpendicular to it?

-1/4

Systems of Equations

100

This is what the solution of a system of equations represents.

The intersection point of the system.

200

This solution method involves multiplying one equation by a constant and adding it to a second equation.

Elimination

300

A system of parallel lines has this many solutions.

0

400

A system with n unknowns will require this many equations to solve.

n equations

500

The system of equations y=x², y = 4, and y=-1 will have this many solutions.

Two

Be Rational

100

This equation is undefined for this value of x.

(x^6-x^33+19)/(x-1)

1

200

If the degree of our denominator is greater than the degree of our numerator, there is a horizontal asymptote at this y value.

0

300

If a rational equation is undefined at a value of x, it has one of these features at that value.

A vertical asymptote

400

The following rational equation has a horizontal asymptote at this y value. 

(5x^4- 2x^2+1)/(3x^4-2x)

y = 5/3

500

This is the term for a "hole" in a graph that disappears if you simplify its corresponding rational equation.

A removable discontinuity

Trig Identities

100

This identity is represented by the ratio opposite/adjacent.

Tangent

200

The trigonometric ratios only work in triangles of this type.

Right

300

This identity relies on the ratio hypotenuse/adjacent.

Secant

400

This is the only angle measure (in the first 90 degrees) for which the sin and cos ratios are equivalent.

45 degrees

500

(cos)^2+(sin)^2

The sum above is equal to this numerical value.

1

Miscellaneous

100

This is the kind of mean name given to Scooby Doo's not terribly bright redneck dog friend.

Scooby Dum

200

The modern internet's roots trace all the way back to this Department of Defense project in the late 1960's.

ARPANET

300

The German word Scheck, English word check, and French le cheque are examples of this, a term that describes words that share the same roots or origins.

Cognate

400

In basketball, a player who has 12 points, 10 rebounds, and 13 assists has earned this hyphenated achievement.

Triple-double

500

In early physics courses, the effects of this interaction with the surrounding air are often ignored when calculating trajectories of ballistic objects.

Drag/friction