Solving Absolute Value Equations in Algebra 1

What does the absolute value of a number represent?

• The square of the number

• The number itself

• The distance from zero

• The negative of the number

If the absolute value of x is 4, which of the following is true?

• x can only be -4

• x can be either 4 or -4

• x can only be 4

• x can be any number

What are the solutions to the equation |x - 9| = 2?

• x = 11 or x = -11

• x = 11 or x = 7

• x = 9 or x = 2

• x = 7 or x = -7

In the equation |4x - 5| = 18, what are the possible values of 4x - 5?

• 23 or -13

• 18 or -18

• 18 or 8

• 5 or -5

How do you isolate the absolute value in the equation 4|2x + 8| + 6 = 30?

• Subtract 6 from both sides and then divide by 4

• Divide by 4

• Add 6 to both sides

• Multiply by 4

What are the solutions to the equation |2x + 8| = 6?

• x = -1 or x = 7

• x = 1 or x = 7

• x = -1 or x = -7

• x = 1 or x = -7

Why does the equation |x - 4| = -2 have no solution?

• Because the equation is incorrect

• Because x must be positive

• Because absolute value cannot be negative

• Because x cannot be negative

What is absolute deviation?

• The difference between the highest and lowest values

• The average of a set of numbers

• The absolute value of the difference between a number and a given value

• The sum of all values in a set

If the average test score is 81 with an absolute deviation of 16, what is the highest possible score?

• 65

• 97

• 81

• 16

If the average test score is 81 with an absolute deviation of 16, what is the lowest possible score?

• 65

• 16

• 97

• 81