RATIONAL EQUATION

Question 1

A/B

WHERE A AND B ARE POLYNOMIALS AND B IS NOT EQUAL TO 0.

Answer 1

RATIONAL FUNCTION

RATIONAL EXPRESSION

Question 2

SIMPLIFYING RATIONAL EXPRESSION

Answer 2

a2 + 2a a(a+2)
2a + 4 2(a+2)

a(a+2) GET THE GCF AND FACTOR.
2(a+2)

a(a+2) SIMPLIFY
2(a+2)

a/2

Question 3

IS AN EQUATION WITH ATLEAST A FRACTION ON THE SIDE WHOSE NUMERATOR AND DENOMINATOR ARE POLYNOMIALS.

Answer 3

RATIONAL EQUATION

Question 4

STEPS IN SOLVING RATIONAL EQUATIONS

Answer 4

> ELIMINATE THE RATIONAL EXPRESSIONS IN THE EQUATION BY MULTIPLYING BOTH SIDES OF THE EQUATION BY THE LCD.
SOLVE THE EQUATION
DISTRIBUTE AND COMBINE LIKE TERMS.
CHECK YOUR SOLUTION

Question 5

x+3 / 5 = 1 / 4
LCD = 20

20(x+3/5) = (1/4)20
4 (x+3) = (1)5

4x + 12 = 5
4x = 5 - 12
4x/4 = -7/4
x = -7/4

Answer 5

CHECKING
x + 3 / 5 = 1 / 4 COPY THE NUMERATOR
GET THE RECIPROCAL OF THE DENOMINATOR
-7/4 + 3 / 5 = 1 / 4 PROCEED WITH MULTIPLICATION
5/4 / 5 = 1 / 4 —> 5/4 X 1/5 = 1 / 4