Simplifying Expressions with Absolute Values

The video tutorial explains how to simplify expressions involving absolute values by treating them as grouping symbols. It demonstrates converting differences to sums and verifies these calculations using a number line. The tutorial concludes by simplifying the absolute values and finding the final expression value.

What is the first step in simplifying an expression with absolute values?

• Simplify the outermost expression

• Add all numbers together

• Simplify within the innermost parentheses or grouping symbols

• Multiply all numbers together

How should absolute values be treated in expressions?

• As if they are fractions

• As if they are exponents

• As if they are coefficients

• As if they are parentheses

What is the result of rewriting the difference 2 - 4 as a sum?

• 2 + (-4)

• 4 + 2

• 4 - 2

• 2 + 4

What is the result of 5 - 9 when rewritten as a sum?

• 5 + 9

• 5 + (-9)

• 9 + 5

• 9 - 5

How do you verify the sum 2 + (-4) on a number line?

• Start at 0, move left 2 units, then right 4 units

• Start at 0, move right 2 units, then left 4 units

• Start at 0, move right 4 units, then left 2 units

• Start at 0, move left 4 units, then right 2 units

How do you verify the sum 5 + (-9) on a number line?

• Start at 0, move left 9 units, then right 5 units

• Start at 0, move right 9 units, then left 5 units

• Start at 0, move left 5 units, then right 9 units

• Start at 0, move right 5 units, then left 9 units

What is the importance of using a number line in verifying sums?

• It is only used for positive numbers

• It is required for all math problems

• It helps visualize the addition and subtraction process

• It makes calculations faster

What is the absolute value of -2?

• 2

• 0

• 4

• -2

What is the absolute value of -4?

• 2

• 0

• 4

• -4

What is the final simplified value of the expression?

• 4

• 0

• 2

• -2