April 13 Quiz Review Absolute Value Functions

What is the vertex of the following function? g(x) = -1/5 |x + 6| +4

• (6, 4)

• (-6, -4)

• (-6, 4)

• (6, -4)

What should the first step be when solving this absolute value equation algebraically? -2|3x - 6| + 5 = 1

• Distribute -2 to 3x and -6

• Divide both sides by -2

• Add 2 on both sides

• Subtract 5 from both sides

Halfway through solving this equation, a student concluded that there is no solution because the equation looks like this: -2|3x - 6| = -4 . Is the student correct?

• Yes. An absolute value expression may not equal to a negative value. The student should stop right here and write "No Solution".

• No. The student should continue. There is one x-value that will make the equation true.

• No. The student should continue. There are two x-values that will make the equation true.

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Solve for x
l 5x l = 40

• x = 8 and x =-8
• x = 35 and x = -35
• Only x = 8
• No Solution

Solve for x
3 l 4w−1 l −5 = 10

• x = 1.5 and x =-1
• x = -1.5 and x = 1
• x =1 and x = -1
• No Solution

What would be the correct setup for solving for X?

|X+3| = 5

• X+3= 5 and X+3= -5

• X+3= 5 ad X-3= 5

• X+3= -5 and X-3 = -5

• X+3= 5 and -X-3= -5

• {4, -4}
• {9, -9}
• {5, -9}
• {13, -1}

Solve the following equation:

|2a + 10| = 6

• a = 8, a = 2

• a = −2

• a = −8

• a = −8, a = −2