Solving Equations That Include Rational Expressions
To solve an equation with a rational expression, rewrite the equation to get rid of the fractions then solve the new equation. The same process is used to solve linear equations that contain rational expressions. If the solution makes any denominato...
Solving Systems with Fractions in the Equations
Systems of equations that contain fractions can be difficult to work with. Clearing the fractions in such a system by multiplying each equation by the least common denominator of the fractions in the equation can be a good strategy to employ.
Solve: 3x(x - 2) = 14
The equation 3x(x - 2) = 14 is solved using the quadratic formula.
Radicand Divided by Another Radicand, A
Simplifying a radical expression by dividing the radical in the numerator by the radical in the denominator.
Rational Numbers Review
In a rational number, the numerator can be any integer and the denominator can be any integer except zero. A rational expression is like a rational number. In a rational expression, the numerator and denominator can be any monomial or polynomial.
Negative Exponents in the Denominator
Simplifying an expression with a negative exponent in the denominator, and a formula that makes it easier.
Practical Problem: How Fast Can Two Workers Mow a Lawn?
A practical problem compares the rate at which two park workers mow the lawn and asks how much lawn the two can mow in an hour. The question is answered by adding rational expressions.
Practical Problem: How Long it Will Take to do Payroll
A work problem requires finding out how long it will take two workers with different work speeds to complete a task. The process of developing an equation and solving it are detailed.
Solving a Quadratic Equation Using the Quadratic Formula
Quadratic equations that cannot be solved by factoring or the square root method can be solved using the quadratic formula. When an equation is in standard form, the values of a, b, and c, including their signs, can be substituted for the letters in...
Solving an Equation with a Fraction
Most people are more comfortable working with whole numbers than with fractions, so when an equation includes a fraction the first thing to do is get rid of the denominator.