Understanding LCD and Solving Equations

The video tutorial explains how to eliminate fractions by finding the least common denominator (LCD). The instructor guides students through identifying the LCD, multiplying each term by it, and simplifying the equation. This process transforms a complex equation into a simpler two-step equation, which is then solved. The tutorial emphasizes the importance of leaving answers in fractional form rather than converting to decimals.

Why is it important to eliminate fractions when solving equations?

• It makes the equation more complex.

• It simplifies the equation.

• It changes the solution.

• It makes the equation longer.

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CCSS.HSA.REI.A.2

What should you identify first before asking questions?

• The LCD

• The variable

• The denominator

• The numerator

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CCSS.HSA.APR.D.7

What is the LCD for the terms 4, 3x, and 2x?

• 6x

• 8x

• 10x

• 12x

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CCSS.HSA.REI.A.2

Why is multiplying each term by the LCD helpful?

• It changes the variables.

• It adds more fractions.

• It makes the equation longer.

• It eliminates the denominators.

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CCSS.7.EE.A.1

How many times does 4 divide into 12x?

• 6 times

• 3 times

• 4 times

• 2 times

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CCSS.HSA.APR.D.6

What is the result of dividing 3x into 12x?

• 5

• 4

• 3

• 2

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CCSS.HSA.REI.A.2

What is the simplified form of the equation after multiplying by the LCD?

• A cubic equation

• A linear equation

• A two-step equation

• A quadratic equation

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CCSS.7.EE.B.4A

What should you do after simplifying the equation to a two-step equation?

• Subtract the same number from both sides

• Add the same number to both sides

• Multiply both sides by the same number

• Divide both sides by the same number

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CCSS.6.EE.B.7

What is the value of x in the equation 3x = 10?

• x = 3

• x = 10/3

• x = 5

• x = 10

How should you present the final answer?

• As a whole number

• As a percentage

• As a decimal

• As a fraction