Understanding Absolute Value Equations

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

• Multiply both sides by a variable

• Subtract a constant from both sides

• Isolate the absolute value expression

• Add a constant to both sides

When setting up equations from an absolute value equation, what should you consider?

• Only the negative solution

• Only the positive solution

• Both positive and negative solutions

• Neither solution

What operation is used to eliminate a denominator in an equation?

• Multiplication

• Subtraction

• Addition

• Division

After eliminating the denominator, what is the next step in solving the equation?

• Add the same number to both sides

• Subtract the same number from both sides

• Multiply both sides by the same number

• Divide both sides by the same number

What is the solution to the equation 2x - 1 = 21?

• x = 13

• x = 12

• x = 11

• x = 10

What is the result of multiplying -7 by 3?

• -21

• 10

• 21

• -10

What is the solution to the equation 2x - 1 = -21?

• x = -11

• x = -10

• x = -9

• x = -12

Why is it important to verify solutions in absolute value equations?

• To ensure the solutions are positive

• To find additional solutions

• To simplify the equation further

• To confirm the solutions satisfy the original equation

What is the absolute value of -7?

• 0

• -7

• 14

• 7

What should you do if your solution does not satisfy the original equation?

• Ignore the solution

• Recalculate the solution

• Accept the solution as is

• Find a new equation