Algebra and polynomials
Slope and Equation of the line
Geometry and Angles
Random Math Topics
Definitions
100

3(x-10)=27

x=?

x=19

100

What is the slope of a vertical line? 

m = undefined

100

What is the measure of each angle in an equilateral triangle?

60 degrees

100


-(-1)+ (-1)= ?



100

Angles which add up to 180 degrees are called?

Supplementary angles

200

Simplify (x+3)(x-2)

x2+x-6

200

What is the slope of the line passing through the points A(2,3) and B(-1, -6) ?

Bonus(50 points) find the equation of this line in standard form.

m = 3

Equation of the line: 

0=3x-y-3

200

What is the sum of interior angles in a hexagon?

Bonus(50 points) how many degrees is each angle in a regular hexagon?

The sum of interior angles is 720 degrees

Each angle is 120 degrees

200

Find the mean, median, mode, and range of these numbers:

12, 9, 5, 9, 3, 4, 7

Mean = 7

Median = 7

Mode = 9 

Range = 9

200

Define : Like terms

Terms which have the same variables and exponents

300

Classify each polynomial by the number of terms, and state degree

1. 5mn2

2. 3x2-4x+6

Bonus(50p)What is the degree of the polynomial '7'?

1. Monomial, third degree

2.Trinomial, second degree

Bonus: Degree = 0

300

How many solutions can a system of equations have?

Bonus(50 points) In what case are there infinity solutions? 

1 solution, 0 solutions, or infinity solutions

There are infinity solutions if the lines are lying on each other

300

How do you calculate the surface area of a hemisphere?

Bonus(50 points) What is the simplified formula to calculate SA of a hemisphere 

Surface area of the sphere divided by 2, plus the base circle

Formula = 3πr2 

300

When are lines perpendicular?


Lines are perpendicular when slopes are negative reciprocals, or when the slopes are 0 and undefined. 

300

A line that divides an angle into two equal parts is called?

An angle bisector

400

If x= 5, then

 x+3x +15x3 -2x= ?

1905

400

Solve the system of equations :

2x+3y-3=0

2x+y+7=0

P(-6,5)

400

How many diagonals does a pentacontagon (50 sided polygon) have?

1175 diagonals 

Formula = n(n-3)/2

400

Rationalize this denominator :

3/√2

(3 over √2)

3/√2 * √2/√2 = 3√2/2


400

The vertical distance between two points is called?

Rise 


500

3 consecutive even numbers add up to 360, what is the largest consecutive even number? 

The largest consecutive even number is 122.

500

What is the equation of the line perpendicular to the x axis and passing through the point (5,3) 

x=5

500


Find all the unknown angles

c=26    b=48    d=106    a=26

500

How do you check if a quadratic equation is possible to factor? 

You substitute the numbers from the equation into the discriminant (b2-4ac), and if the answer is a perfect square, then it is possible to factor.

500

Define : Transversal

A transversal is a line that crosses or intersects two or more lines. 

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