Solving Absolute Value Equations in Algebra 2

This video tutorial covers absolute value equations, starting with a definition and moving through solving techniques. It includes examples and practice problems, emphasizing the importance of considering both positive and negative solutions. The video concludes with a word problem involving absolute value, demonstrating real-world application.

What is the absolute value of -3?

• -3

• 0

• 3

• 6

Tags

CCSS.6.NS.C.7C

If the absolute value of a number is 3, what are the possible values of the number?

• 3 and 6

• 0 and -3

• 3 and 0

• 3 and -3

What should you write if the absolute value of a variable equals a negative number?

• Negative value

• No solution

• Zero

• Positive value

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

• Add 5 to both sides

• Multiply both sides by 2

• Move everything outside the absolute value bars to the other side

• Set the equation to zero

In the equation |2x - 1| = 17, what are the two possible equations you need to solve?

• 2x - 1 = 17 and 2x - 1 = -17

• 2x - 1 = 17 and 2x - 1 = 1

• 2x - 1 = 17 and 2x - 1 = 0

• 2x - 1 = 17 and 2x - 1 = 34

What is the solution to the equation |x + 2| = 18?

• x = 16 or x = -20

• x = 20 or x = -16

• x = 0 or x = 18

• x = 18 or x = -18

If the absolute value of 2x equals -4, what is the solution?

• x = 2

• No solution

• x = -2

• x = 0

What are the solutions to the equation |5 - 2x| = 15?

• x = -10 or x = 5

• x = 10 or x = 5

• x = 5 or x = -10

• x = 10 or x = -5

How do you check if your solutions to an absolute value equation are correct?

• By dividing them by 2

• By multiplying them by 2

• By adding them together

• By substituting them back into the original equation

If Michael Jordan's score was 12 points from his average of 37 points, what are the possible scores he could have achieved?

• 25 and 49

• 37 and 25

• 25 and 37

• 49 and 12