Blue Board Math

test prep

Blueboardmath.com developed as a result of teaching my children Algebra, Geometry and Calculus starting from a young age. I began teaching my two daughters math when they were in preschool. By the time my youngest daughter was in Grade 5 she was able to understand Calculus. As a Freshman in High School she scored a perfect 800 in math section of the SAT. As people found out about my daughter's ability to understand math so well at a young age I was often asked how this was possible. The explanation is simple: invest about 10-30 minutes per day working on math problems and math understanding. Consistency is the key.

These videos are meant to help students interested in becoming stronger at math by engaging in SAT and Calculus level questions every day for a short 10-30 minute span. I will also be posting AP Physics problems. If you stay consistent, you'll be amazed by how quickly you can improve your math skills.

The curve x^3 + xtany=27 passes through (3,0). Use linear approx to estimate the value of y at x=3.1

The curve x^3 + xtany=27 passes through (3,0). Use linear approx to estimate the value of y at x=3.1
x/y=6 & 4(y+1)=x If (x,y) is the solution to the system of equations above what is the value of y?

x/y=6 & 4(y+1)=x If (x,y) is the solution to the system of equations above what is the value of y?
f(x) = (3/2)x + b. If f(6) = 7, what is the value of f(-2)? SAT linear equation problem explained.

f(x) = (3/2)x + b. If f(6) = 7, what is the value of f(-2)? SAT linear equation problem explained.
Which of the following expressions is equal to 0 for some value of x? SAT Absolute Value problem

Which of the following expressions is equal to 0 for some value of x? SAT Absolute Value problem
If f(t) = integral of 1/(1+x^2)dx from 0 to t^2, then f'(t) equals 2t/(1+t^4). AP Calculus problem.

If f(t) = integral of 1/(1+x^2)dx from 0 to t^2, then f'(t) equals 2t/(1+t^4). AP Calculus problem.
A particle moves along a line with velocity, v=t^2-t. The total distance traveled from t=0 to t=2 ?

A particle moves along a line with velocity, v=t^2-t. The total distance traveled from t=0 to t=2 ?
Find the slope of the curve r=cos2theta at theta=pi/6 AP Calculus practice problem explained.

Find the slope of the curve r=cos2theta at theta=pi/6 AP Calculus practice problem explained.
The equation of the curve shown below is y=4/(1+x^2). What does the area of the shaded region equal?

The equation of the curve shown below is y=4/(1+x^2). What does the area of the shaded region equal?
Integral of f(x-1)dx from 0 to 6 = Integral of f(x)dx from -1 to 5 AP Calculus problem explained

Integral of f(x-1)dx from 0 to 6 = Integral of f(x)dx from -1 to 5 AP Calculus problem explained
If A= Integral from 0 to 1 of e^-x dx is approximated with Riemann and Trapezoid Sum. AP Calculus

If A= Integral from 0 to 1 of e^-x dx is approximated with Riemann and Trapezoid Sum. AP Calculus
Given two twice-differentiable functions, f(x) and g(x). Find Limit (2f(x)-6g(x))/(4x^2-4e^3(x-1))

Given two twice-differentiable functions, f(x) and g(x). Find Limit (2f(x)-6g(x))/(4x^2-4e^3(x-1))
Integral of (1-|x|)dx from -1 to 1. AP Calculus practice problem explained.

Integral of (1-|x|)dx from -1 to 1. AP Calculus practice problem explained.
If x=2sin(Theta), then the integral of (x^2)/sqrt(4-x^2)dx is equivalent to ? AP Calculus practice

If x=2sin(Theta), then the integral of (x^2)/sqrt(4-x^2)dx is equivalent to ? AP Calculus practice
The maximum value of the function f(x)=xe^-x is ? AP Calculus practice problem explained.

The maximum value of the function f(x)=xe^-x is ? AP Calculus practice problem explained.
If y=(x-3)/(2-5x), then dy/dx=? AP Calculus practice problem explained

If y=(x-3)/(2-5x), then dy/dx=? AP Calculus practice problem explained
Integral of (3x-2)^3dx from 1 to 2. AP Calculus practice problems explained.

Integral of (3x-2)^3dx from 1 to 2. AP Calculus practice problems explained.
If h(x)=g(f(x)) then h'(3) = ? AP Calculus practice problem explained

If h(x)=g(f(x)) then h'(3) = ? AP Calculus practice problem explained
The average rate of change of function f on [1,4] is 4/3. AP Calculus practice problem explained.

The average rate of change of function f on [1,4] is 4/3. AP Calculus practice problem explained.
x=(1-t^2)^1/2 , y=arcsint , dy/dx=? AP Calculus practice problem explained

x=(1-t^2)^1/2 , y=arcsint , dy/dx=? AP Calculus practice problem explained
g(x) = ax^2+24, g(4)=8, g(-4)=? SAT practice question

g(x) = ax^2+24, g(4)=8, g(-4)=? SAT practice question
SAT question. If a/b=2 what is the value of 4b/a?

SAT question. If a/b=2 what is the value of 4b/a?
Limit as h goes to 0 for (ln(2+h)-ln2)/h AP Calculus explained

Limit as h goes to 0 for (ln(2+h)-ln2)/h AP Calculus explained
Limit as x goes to infinity for (20x^2-13x+5)/(5-4x^3) AP Calculus explained

Limit as x goes to infinity for (20x^2-13x+5)/(5-4x^3) AP Calculus explained
SAT QUESTION OF THE DAY - Domain of radical function

SAT QUESTION OF THE DAY - Domain of radical function
SAT QUESTION OF THE DAY - finding coefficient of perpendicular line

SAT QUESTION OF THE DAY - finding coefficient of perpendicular line
Common Core MATH QUESTION OF THE DAY - 4th grade fractions

Common Core MATH QUESTION OF THE DAY - 4th grade fractions
SAT QUESTION OF THE DAY - Vertical asymptotes in a rational function

SAT QUESTION OF THE DAY - Vertical asymptotes in a rational function
Common Core MATH QUESTION OF THE DAY - 5th grade fractions

Common Core MATH QUESTION OF THE DAY - 5th grade fractions
SAT QUESTION OF THE DAY - square root of x squared

SAT QUESTION OF THE DAY - square root of x squared
SAT QUESTION OF THE DAY- Absolute value inequality problem

SAT QUESTION OF THE DAY- Absolute value inequality problem