Exploring Absolute Value Expressions and Equations

This video tutorial covers the concept of absolute value, explaining its definition as the distance from zero on a number line. It demonstrates how to evaluate absolute value expressions and solve absolute value equations, highlighting the unique property of having two solutions. The tutorial also guides viewers on writing equations from given solutions on a number line, emphasizing the importance of understanding midpoint and distance. The video is interactive, encouraging viewers to pause and practice along with the examples provided.

What does the absolute value of a number represent?

• The square of the number

• The negative of the number

• The distance from zero on a number line

• The reciprocal of the number

What is the absolute value of -4?

• -8

• 4

• 0

• -4

How do you simplify the expression 2 * |3 - (-2)| + |x| if x = -2?

• 2 * 5 - 2

• 2 * 1 - 2

• 2 * 1 + 2

• 2 * 5 + 2

What is the result of the expression |10 - 5 * (-3) + 3|?

• 12

• 18

• 15

• 20

What is the first step in solving the equation |x - 5| - 3 = 7?

• Subtract 3 from both sides

• Divide both sides by 2

• Multiply both sides by 2

• Add 3 to both sides

How many solutions can an absolute value equation have?

• Two

• None

• One

• Three

What should you do if an absolute value equation is set equal to a negative number?

• Solve for x

• State that there is no solution

• Add the negative number to both sides

• Multiply both sides by -1

What is the midpoint between -4 and 6?

• 2

• 1

• 0

• -1

How do you find the distance between the midpoint and an endpoint on a number line?

• Subtract the midpoint from the endpoint

• Add the midpoint to the endpoint

• Divide the endpoint by the midpoint

• Multiply the midpoint by the endpoint

What is the formula for writing an absolute value equation from points on a number line?

• |x * midpoint| = distance

• |x - midpoint| = distance

• |x + midpoint| = distance

• |x / midpoint| = distance