Writing Absolute Value Equations from Given Solutions

What is the general form of an absolute value equation when given solutions?

• x divided by the middle equals the distance from the middle

• x times the middle equals the distance from the middle

• x minus the middle equals the distance from the middle

• x plus the middle equals the distance from the middle

To find the middle point between two solutions, what operation should you perform?

• Subtract the smaller solution from the larger one

• Multiply the two solutions

• Add the two solutions and divide by 2

• Divide the larger solution by the smaller one

What is the middle point between the solutions 2 and 12?

• 8

• 7

• 6

• 5

What is the distance from the middle to either of the points 2 and 12?

• 6

• 5

• 7

• 4

What is the absolute value equation for the solutions 2 and 12?

• |x - 5| = 7

• |x + 5| = 7

• |x + 7| = 5

• |x - 7| = 5

What is the middle point between the solutions -5 and 1?

• -2

• -4

• -1

• -3

What is the distance from the middle to either of the points -5 and 1?

• 5

• 4

• 3

• 2

What is the simplified form of the absolute value equation for the solutions -5 and 1?

• |x - 2| = 3

• |x + 3| = 2

• |x + 2| = 3

• |x - 3| = 2

What is the definition of absolute value in terms of distance?

• A number's distance from the middle

• A number's distance from zero

• A number's distance from infinity

• A number's distance from one

What is the general form of the absolute value equation when the middle is zero?

• x plus zero equals the distance

• x minus zero equals the distance

• x times zero equals the distance

• x divided by zero equals the distance