Solving Absolute Value Equations Effectively

What are the possible values of x if the absolute value of x is 9?

• 9

• -9

• Both 9 and -9

• Neither 9 nor -9

If the absolute value of 3x is 18, what are the possible values of x?

• 9 and -9

• 6 and -6

• 3 and -3

• 18 and -18

For the equation |5x + 7| = 42, what is one of the solutions for x?

• 7

• -7

• -35

• 35

What should you do if you encounter an absolute value equation equal to a negative number?

• Write two equations

• Solve for x

• Multiply by -1

• State no solution

What is the first step in solving the equation |4x + 6| / 5 = 6?

• Divide both sides by 4

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 5

If you have an absolute value equation with numbers outside the absolute value, what should you do first?

• Add the numbers

• Break it into two equations

• Simplify the equation

• Multiply by -1

For the equation 3|4x - 1| - 5 = 16, what is the first step?

• Divide by 3

• Multiply by 3

• Add 5 to both sides

• Subtract 5 from both sides

What is the solution to the equation |x - 4| + 8 = 3?

• x = 3

• No solution

• x = -4

• x = 4

For the equation |7x + 2| = 4x + 11, what is one of the solutions for x?

• 3

• -3

• 4

• -4

If you have two absolute value expressions equal to each other, what should you do?

• Multiply by -1

• Write one equation

• Add the expressions

• Write two equations