Solving an Equation That Involves Fractions With Variables on Both Sides

• multiply

• 5

• divide

• add

• subtract

• 2

• 3

• 8

• 10

Solve for c: 

• c = -1

• c = 5/2

• c = 1

• c = 22

Solve for k:

• -1

• -2/3

• 15

• -3/5

Which method is commonly used to eliminate denominators in rational equations?

• Subtracting the fractions.

• Adding both sides of the equation.

• Multiplying both sides by its least common denominator.

• Dividing both sides by the numerator.

Which property is used when multiplying both sides of a rational equation by the LCD?

• Associative Property

• Identity Property

• Commutative Property

• Distributive Property

How do you check if your solution to a rational equation is correct?

• By substituting the solution back into the original equation.

• By multiplying both sides by the LCD.

• By simplifying the equation.

• By using the quadratic formula.

Shawn solves the following equation as shown. Shawn's solution is marked incorrect. Which best explains Shawn's error?

• Shawn added 4 to both sides of the equation instead of subtracting 4.

• Shawn multiplied by -5 on both sides of the equation instead of multiplying by - ⅕.

• Shawn multiplied by -5 on both sides of the equation instead of dividing by - ⅕.

• Shawn subtracted ⅗x on the left side of the equation instead of adding ⅗x.

Solve for x.

6x - 3⅔ = ⅔x + 7

• x = ½

• x = -½

• x = 2

• x = -2

What is the FIRST step when solving an equation that involves fractions?

• ALWAYS turn fractions to decimals.

• Multiply EVERYTHING on both sides by the Least Common Denominator (LCD)

• Solve like normal, do not worry about the fractions

• You can't solve an equation if it has a fraction in it.

Solve for y: 3y + 4 = - y - 6

• y = - ⅕

• y = - ½

• y = - 5/3

• y = - 5/2