Solving Absolute Value Equations through Graphing

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

• Adding a constant to both sides

• Separating into two equations

• Multiplying both sides by a constant

• Graphing the equation

What are the solutions to the equation 2|x - 3| + 1 = 5 when solved algebraically?

• x = 1 and x = 5

• x = 2 and x = 4

• x = 0 and x = 6

• x = 3 and x = 7

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the graph for the equation 2|x - 3| + 1?

• (3, 1)

• (1, 3)

• (0, 0)

• (2, 2)

What does the horizontal line y = 5 represent in the graph?

• The x-intercept

• The y-intercept

• The slope of the line

• The solution to the equation

Where do the graphs of 2|x - 3| + 1 and y = 5 intersect?

• x = 0 and x = 6

• x = 1 and x = 5

• x = 2 and x = 4

• x = 3 and x = 7

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the graph for the equation 3|x - 2| + 1?

• (0, 3)

• (3, 0)

• (1, 2)

• (2, 1)

What are the solutions to the equation 3|x - 2| + 1 = 7?

• x = 0 and x = 4

• x = 3 and x = 5

• x = 1 and x = 3

• x = 2 and x = 6

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the graph for the equation 2|x - 1| - 5?

• (1, -3)

• (2, -6)

• (0, -4)

• (1, -5)

What are the solutions to the equation 2|x - 1| - 5 = 1?

• x = -3 and x = 5

• x = -2 and x = 4

• x = -1 and x = 3

• x = 0 and x = 2

Tags

CCSS.HSF-IF.C.7D

What is the slope of the graph for the equation -3|x + 2| + 6?

• 3

• 2

• -2

• -3

Tags

CCSS.HSF-IF.C.7D