Exam (elaborations)
Mathnasium Review Questions and Answers 2024
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Exam of 5 pages for the course Mathnasium at Mathnasium (Mathnasium Review)
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Mathnasium ReviewWhat is a real number? - answerany number without 'i'
what is a constant? - answerspecific fixed number
What is an integer? - answera whole number
What does quotient mean? - answerto divide
Complementary angles - answeradd to 90 degrees
supplementary angles - answeradd to 180 degrees
On a 30,60,90 triangle, what are the sides starting smallest? - answerx, xroot3, and 2x
On a 45,45,90 triangle, what are the side ratios? - answerx, x, and xroot2
How do you add vectors together? - answer<x,y>+<a,b>=<x+a,y+b>
domain - answerx values
range - answery values
how do you add matrices? - answerSimply add the corresponding places (if they are
different sizes then it is undefined)
how do you multiply matrices by a constant? - answerjust multiply every number by the
constant and leave it in the same shape
how do you multiply matrices by another matrix? - answerthere should be the same
number of rows as the first matrix and the same number of columns as the second, and
do almost a foiling method
How do you simplify a matrix? - answerI a b I
I c d I = ad-bc
How do you remember absolute value inequalities? - answergreatOR, less thAND
What should you always be on the lookout for regarding squares and square roots? -
answertwo answers
, slope of a horizontal line - answerzero
slope of a vertical line - answerundefined
what is the discriminant? - answerb^2-4ac
What does a discriminant tell you? - answerif 0=1 solution
if + = 2 real solutions
if - = 2 complex solutions/no real solutions
What slopes do perpendicular lines have? - answernegative reciprocal
What is a scalene triangle? - answerall different lengths/angles
equation of a circle - answer(x-h)²+(y-k)²=r²
volume of a sphere - answer4/3πr³
volume of a cylinder - answerπr²h
volume of a cone - answer1/3πr²h
A triangle formed by three points on a circle with the hypotenuse being the diameter will
always be a... - answerright triangle
area of a circle - answerπr²
Circumference of a circle - answer2πr
what are parallelograms - answertwo sets of parallel lines with no right angles
what is a rhombus - answera parallelogram with 4 congruent sides
area of a trapezoid - answer1/2(b1+b2)h
how do you find the interior angles of a polygon - answern=number of sides
(n-2)180
what is the distance formula - answerd = √(x2 - x1)^2 + (y2 - y1)^2
surface area of a sphere - answer4πr²
surface area of a cylinder - answer2πrh+2πr²
surface area of a cone ELABORATE - answerπrl+πr²
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