Rational Expressions and Equations

The value becomes one-half.

The value remains the same.

The value becomes three-fourths.

The value becomes two-thirds.

A ratio of two integers.

A product of two numbers.

A sum of two fractions.

A ratio of two polynomial expressions.

Because it ensures the equation is linear.

Because it can lead to undefined solutions.

Because it simplifies the equation.

Because it makes the equation easier to solve.

x = 8

x = 5

x = 6

x = 7

By checking if it results in a negative number.

By checking if it results in a positive number.

By checking if it results in zero in the denominator.

By checking if it results in a fraction.

x squared

1 over x

x plus 1

x minus 1

x = 2 and x = 3

x = 4 and x = 5

x = 1 and x = 2

x = 3 and x = 4

x = 3

x = 2

x = 6

x = four-thirds

22

x

3

3 and x

3x minus 4 and x minus 6

x minus 2 and x minus 3

x plus 2 and x plus 4

3x plus 4 and x plus 6