Solving Absolute Value Equations with the TI84 Calculator

The video tutorial demonstrates how to solve absolute value equations using a graphing calculator. It explains setting equations as Y1 and Y2, graphing them, and finding intersection points to determine solutions. The tutorial covers two examples: one with two solutions and another with no solutions, highlighting the graphical representation of absolute value equations.

What is the first step in solving absolute value equations using a graphing calculator?

• Set the left side of the equation equal to Y1 and the right side equal to Y2.

• Press the ZOOM button.

• Find the points of intersection.

• Press the TRACE button.

Which button do you press to enter the absolute value function on a graphing calculator?

• ZOOM

• MATH

• TRACE

• WINDOW

What is the standard window setting for graphing on a calculator?

• ZOOM 1

• ZOOM 6

• ZOOM 0

• ZOOM 9

How many points of intersection are there for the equation |2x + 3| = 5?

• None

• Two

• One

• Three

What are the solutions for the equation |2x + 3| = 5?

• x = -4 or x = 1

• x = -3 or x = 2

• x = -2 or x = 3

• x = -1 or x = 4

Why do many absolute value equations have two solutions?

• Because they form a circle.

• Because they form a straight line.

• Because they form a V-shaped graph and intersect a horizontal line in two points.

• Because they form a U-shaped graph.

What is the result when graphing the equation |2 - 3x| = -5?

• There are two points of intersection.

• The graph forms a circle.

• There is one point of intersection.

• There are no points of intersection.

Why is there no solution for the equation |2 - 3x| = -5?

• Because the graph forms a parabola.

• Because absolute value is always positive.

• Because the graph forms a straight line.

• Because the graph forms a circle.

What does it mean graphically when there are no points of intersection?

• There is one solution.

• There are two solutions.

• There are no solutions.

• There are infinite solutions.

What is a key takeaway from graphing absolute value equations?

• It helps understand when there are two solutions or no solution.

• It always shows one solution.

• It is not useful for solving equations.

• It only works for linear equations.