Equations with Fractions

The video tutorial teaches how to solve one-step equations using reciprocals when the coefficient of the variable is a fraction. It explains the concept of reciprocals and provides step-by-step solutions to example equations, demonstrating how to clear fractions by multiplying both sides of the equation by the reciprocal. The tutorial concludes with encouragement to practice solving similar equations.

What is the first step in solving an equation with a fractional coefficient?

• Add the fraction to both sides

• Divide every term by the fraction

• Multiply every term by the reciprocal of the fraction

• Subtract the fraction from both sides

If the fraction is 3/4, what is its reciprocal?

• 7/8

• 4/3

• 3/4

• 1/3

In the equation 1/2 X + 5 = 12, what is the result after multiplying every term by the reciprocal of 1/2?

• X + 5 = 12

• X + 10 = 24

• X = 14

• 2X + 10 = 24

What operation should be performed after simplifying the equation to X + 10 = 24?

• Subtract 10 from both sides

• Add 10 to both sides

• Divide both sides by 2

• Multiply both sides by 2

In the equation 3/4 Y - 6 = 24, what is the final value of Y after solving?

• Y = 8

• Y = 32

• Y = 40

• Y = 24