Exploring Adding and Subtracting Rational Expressions

The video tutorial introduces the concept of absolute value, explaining it as the distance from zero, which is always positive. It outlines a four-step process to solve absolute value equations: isolating the expression, setting the inside equal to positive and negative values, solving both sides, and writing the solution as a set. The tutorial provides several examples, ranging from basic to more complex problems, and discusses cases where no solution exists due to the absolute value being set equal to a negative number.

What does the absolute value of a number represent?

• The negative of the number

• The square of the number

• The distance from zero

• The number itself

Which symbol is used to represent absolute value?

• Curly braces {}

• Parentheses ()

• Brackets []

• Bars ||

What is the first step in solving an absolute value equation?

• Solve both sides

• Write the solution set

• Isolate the absolute value expression

• Set the inside equal to positive and negative values

After isolating the absolute value expression, what should you do next?

• Set the inside equal to positive and negative values

• Write the solution set

• Solve both sides

• Check for extraneous solutions

In the example where |x| = 2, what are the solutions for x?

• 2 and 4

• 2 and -4

• 2 and 0

• 2 and -2

If |n| = 14, what are the possible values of n?

• 14 and -14

• 14 and -28

• 14 and 0

• 14 and 28

How do you solve the equation 5z = 40?

• Subtract 5 from both sides

• Divide both sides by 5

• Multiply both sides by 5

• Add 5 to both sides

What is the solution to the equation |d + 1| = 8?

• d = 9 and d = -7

• d = 8 and d = -8

• d = 7 and d = -9

• d = 8 and d = -7

How do you handle an absolute value equation set equal to a negative number?

• Solve it normally

• It has no solution

• Set it equal to zero

• Multiply by -1

What is the reciprocal of 2/3?

• 2/3

• 3/1

• 3/2

• 1/2