MATHNASIUM REVIEW QUESTIONS
AND ANSWERS WITH SOLUTIONS 2024
What is a real number? - ANSWER any number without 'i'
what is a constant? - ANSWER specific fixed number
What is an integer? - ANSWER a whole number
What does quotient mean? - ANSWER to divide
Complementary angles - ANSWER add to 90 degrees
supplementary angles - ANSWER add to 180 degrees
On a 30,60,90 triangle, what are the sides starting smallest? - ANSWER x, xroot3, and 2x
On a 45,45,90 triangle, what are the side ratios? - ANSWER x, x, and xroot2
How do you add vectors together? - ANSWER <x,y>+<a,b>=<x+a,y+b>
domain - ANSWER x values
range - ANSWER y values
how do you add matrices? - ANSWER Simply add the corresponding places (if they are different sizes
then it is undefined)
how do you multiply matrices by a constant? - ANSWER just multiply every number by the constant and
leave it in the same shape
, how do you multiply matrices by another matrix? - ANSWER there 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? - ANSWER I a b I
I c d I = ad-bc
How do you remember absolute value inequalities? - ANSWER greatOR, less thAND
What should you always be on the lookout for regarding squares and square roots? - ANSWER two
answers
slope of a horizontal line - ANSWER zero
slope of a vertical line - ANSWER undefined
what is the discriminant? - ANSWER b^2-4ac
What does a discriminant tell you? - ANSWER if 0=1 solution
if + = 2 real solutions
if - = 2 complex solutions/no real solutions
What slopes do perpendicular lines have? - ANSWER negative reciprocal
What is a scalene triangle? - ANSWER all different lengths/angles
equation of a circle - ANSWER (x-h)²+(y-k)²=r²
volume of a sphere - ANSWER 4/3πr³
AND ANSWERS WITH SOLUTIONS 2024
What is a real number? - ANSWER any number without 'i'
what is a constant? - ANSWER specific fixed number
What is an integer? - ANSWER a whole number
What does quotient mean? - ANSWER to divide
Complementary angles - ANSWER add to 90 degrees
supplementary angles - ANSWER add to 180 degrees
On a 30,60,90 triangle, what are the sides starting smallest? - ANSWER x, xroot3, and 2x
On a 45,45,90 triangle, what are the side ratios? - ANSWER x, x, and xroot2
How do you add vectors together? - ANSWER <x,y>+<a,b>=<x+a,y+b>
domain - ANSWER x values
range - ANSWER y values
how do you add matrices? - ANSWER Simply add the corresponding places (if they are different sizes
then it is undefined)
how do you multiply matrices by a constant? - ANSWER just multiply every number by the constant and
leave it in the same shape
, how do you multiply matrices by another matrix? - ANSWER there 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? - ANSWER I a b I
I c d I = ad-bc
How do you remember absolute value inequalities? - ANSWER greatOR, less thAND
What should you always be on the lookout for regarding squares and square roots? - ANSWER two
answers
slope of a horizontal line - ANSWER zero
slope of a vertical line - ANSWER undefined
what is the discriminant? - ANSWER b^2-4ac
What does a discriminant tell you? - ANSWER if 0=1 solution
if + = 2 real solutions
if - = 2 complex solutions/no real solutions
What slopes do perpendicular lines have? - ANSWER negative reciprocal
What is a scalene triangle? - ANSWER all different lengths/angles
equation of a circle - ANSWER (x-h)²+(y-k)²=r²
volume of a sphere - ANSWER 4/3πr³
