Solving Absolute Value Equations at 1.3x Speed

Which of the following is an example of an absolute value equation?

• |x| - 3 = -7

• x^2 + 3 = 7

• |x + 3| = 7

• x + 3 = 7

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

• Square both sides

• Multiply both sides by a constant

• Isolate the absolute value expression

• Add a constant to both sides

When solving |x - 2| = 5, what are the two related equations?

• x - 2 = 5 and x + 2 = 5

• x + 2 = 5 and x - 2 = 5

• x + 2 = 5 and x + 2 = -5

• x - 2 = 5 and x - 2 = -5

What are the solutions to the equation |x - 2| = 5?

• x = 3 and x = -7

• x = 5 and x = -5

• x = 7 and x = -3

• x = 2 and x = -2

In the equation |2x - 1| = -4, why is there no solution?

• Because x cannot be negative

• Because the variable is not isolated

• Because the equation is not balanced

• Because the absolute value cannot be negative

What is the solution set for the equation |x| = 7?

• {7, 7}

• {-7, 0}

• {7, 0}

• {7, -7}

What is the first step in solving the equation 2|3x + 9| - 10 = -2?

• Add 10 to both sides

• Subtract 10 from both sides

• Divide both sides by 2

• Multiply both sides by 2

What are the two related equations for 2|3x + 9| - 10 = -2 after isolating the absolute value?

• 3x + 9 = 6 and 3x + 9 = -6

• 3x + 9 = 4 and 3x + 9 = -4

• 3x + 9 = 2 and 3x + 9 = -2

• 3x + 9 = 8 and 3x + 9 = -8

How do you find the midpoint between two points on a number line?

• Multiply the points and divide by 2

• Subtract the points and divide by 2

• Add the points and divide by 2

• Divide the points and add 2

If the minimum length of an essay is 2 pages and the maximum length is 6 pages, what is the distance used in the absolute value equation?

• 8

• 6

• 4

• 2