Algebra - How does 2 = 1?

x=y=1 x squared - y squared = x squared - xy (x-y) (x+y) x(x-y) ----------- = --------- x-y x-y x+y = x 2 = 1

Examples showing how to solve for a variable.

I can't remember how to solve for x. What are some problems where I have to solve for x?

Working with linear simultaneous equations.

What is the value of T and F in this is the equation? T + 7F = 33 3T - 2F = 17

Find the maximum area of a window.

A special window has the shape of a rectangle surrmounted by an equilateral triangle. If the perimeter is 16 feet, what dimensions will admit the most light? (hint: Area of equilateral triangle = the square root of 3/4 times x squared.)

Create graphical and algebraic linear models from given data or written descriptions

(i) Copy and complete Table 1 in order to shown how the total charges under package 1 and under the two scenarios for package 2 compare for different amounts of internet access time per month (0, 1 hour and 10 hours) Table 1 ------------------------------------------------- Access per month/ minutes 0 ...continues

Functions: Simplifying an expression and limits

Please see the attached file for the fully formatted problems. Let f(x) = sqrt of x, and show that in this case (f(x+h)-f(x))(f(x+h)+f(x))=h. Use this result to give a simplified expression for f(x+h)-f(x)/h. When f(x) = sqrt x what is lim h-->0 f(x+h)-f(x)/h ?

Algebra

Exponential and factoring questions

Find the inverse of a matrix

the inverse of the matrix [2 7] [-8 -6] [1 0 2] [0 2 -1] [2 5 2]

Inverses of 2 x 2 matrices made easy!

Find the inverse of the following 2x2 matrix: | 1 2 | | 3 4 |

Finding a solution to a system of equations.

Find the x-value for the solution of the nonlinear system: x = y^2 - 1 x = -y^2 + 4