IM3 module 9 flashcard

Front

What is a rational expression?

Back

A rational expression is a fraction where the numerator and the denominator are both polynomials.

Front

How do you divide rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the divisor and simplify.

Front

What does LCD stand for in mathematics?

Back

LCD stands for Least Common Denominator, which is the smallest common multiple of the denominators.

Front

How do you solve equations using the LCD?

Back

To solve equations using the LCD, multiply each term by the LCD to eliminate the fractions, then solve the resulting equation.

Front

What is the key concept of factoring in rational expressions?

Back

Factoring involves rewriting a polynomial as a product of its factors to simplify expressions or solve equations.

Front

What is the K.C.F. method in dividing rational expressions?

Back

K.C.F. stands for Keep, Change, Flip; it refers to keeping the first fraction, changing the division to multiplication, and flipping the second fraction.

Front

What is the process for subtracting rational expressions?

Back

To subtract rational expressions, find a common denominator, rewrite each expression, and then subtract the numerators.

Front

What is the significance of simplifying rational expressions?

Back

Simplifying rational expressions makes them easier to work with and helps to identify any restrictions on the variable.

Front

What are restrictions in rational expressions?

Back

Restrictions are values that make the denominator zero, which are not allowed in rational expressions.

Front

How do you find the value of x in an equation?

Back

To find the value of x, isolate x on one side of the equation using algebraic operations.