Determining a solution (an ordered pair) from a system of equations.

If f(x,y) and g(x,y) form a system of two equations in two variables, x and y, such that: f(x,y) = 2x2 + y = 0 g(x,y) = 3x - 2y - 7 = 0 Which of the following ordered pairs (a,b) is a solution of the system? A) (2,-8) B) (3,1) C) (1,-2) D) None of the above

Factoring quadratic equations.

Factor: 75+12x^2+60x

How to solve complex equations using order of operations.

What steps should be taken to solve complex order of operation equations?

Solving inequalities using interval notation.

Solve: 12a-14>2(5a-6); and express the solution in interval notation.

Determining measurements using a quadratic equation.

Reducing the Size of a candy Bar: A jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in width, and 3 centimeters in thickness. Due to the escalating costs of cocoa, management decides to reduce the volume of the bar by 10%. To accomplish this reduction, management decides the new bar ...continues

Working with rational numbers and powers.

What is the result of 0.1/0.01 + 0.01/0.001 + 0.001/0.0001=?

Working with powers in a mathematical expression.

What is the result of ((-1/2)^-3)^2?

Simplifying square root expressions.

Simplify (sqrt2 - (1/sqrt2))/(sqrt2 + (1/sqrt2))=?

Working with natural numbers and divisibility.

The natural number 28A9B consists of different numbers and A is not equal to 0. When the number is divided by 9 the remainder is 7 and when it is divided by 5, the remainder is 1. What is A-B=?

Determining constants from factorizing mathematical expressions.

((x^2 +ax +b)/(x^2 +11x +28)) ((x^2 +4x -21)/(x^2 -9))= (x+2)/(x+3) What is a+b=?