Solving Equations and Fractions

The video tutorial explains how to solve two algebraic equations by clearing fractions and simplifying the results. The first equation involves solving for x in the equation (x-6)/8=11 by multiplying both sides by 8 and simplifying. The second equation involves solving (8x+5)/7=9, simplifying the result, and converting an improper fraction to a mixed number. The tutorial emphasizes the importance of simplifying fractions and converting improper fractions to mixed numbers.

What is the first step in solving the equation x - 6 divided by 8 equals 11?

• Multiply both sides by 8

• Subtract 6 from both sides

• Add 6 to both sides

• Divide both sides by 8

Why do we multiply both sides of the equation by 8 in the first equation?

• To simplify the equation

• To isolate x

• To clear the fraction

• To add a constant to both sides

After clearing the fraction in the first equation, what is the next step?

• Subtract 6 from both sides

• Divide by 8

• Multiply by 11

• Add 6 to both sides

What is the solution to the equation x - 6 divided by 8 equals 11?

• x = 88

• x = 94

• x = 6

• x = 11

What is the first step in solving the equation 8x + 5 divided by 7 equals 9?

• Subtract 5 from both sides

• Divide both sides by 7

• Multiply both sides by 7

• Add 5 to both sides

Why do we multiply both sides of the second equation by 7?

• To add a constant to both sides

• To clear the fraction

• To isolate x

• To simplify the equation

After clearing the fraction in the second equation, what is the next step?

• Add 5 to both sides

• Divide by 8

• Multiply by 9

• Subtract 5 from both sides

What is the simplified improper fraction for x in the second equation?

• 7/4

• 58/8

• 9/7

• 29/4

How do you convert the improper fraction 29/4 to a mixed number?

• Add 4 to 29 and divide by 7

• Subtract 4 from 29 and divide by 7

• Multiply 29 by 4 and add 1

• Divide 29 by 4 and use the remainder

What is the mixed number form of 29/4?

• 7 and 3/4

• 7 and 1/4

• 6 and 3/4

• 8 and 1/4