Solving Absolute Value Equations and Inequalities

What is the absolute value of -9?

• None of the above

• 9

• -9

• 0

Tags

CCSS.6.NS.C.7C

If the absolute value of a number is 6, what could the original number be?

• 6

• Both 6 and -6

• Neither 6 nor -6

• -6

When solving the equation |3b - 1| = 11, what are the two possible values for 3b - 1?

• 11 and 0

• None of the above

• 11 and -11

• 0 and -11

What is the first step in solving the equation |y + 17| = 15?

• Add 17 to both sides

• Subtract 17 from both sides

• Write two equations: y + 17 = 15 and y + 17 = -15

• Divide both sides by 17

In the equation |x/3 + 4| = 7, what should you do after isolating the absolute value?

• Multiply both sides by 3

• Subtract 4 from both sides

• Divide both sides by 3

• Add 4 to both sides

When solving the inequality |x - 3| > 5, what must you remember to do?

• Flip the inequality sign when dealing with -5

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

For the inequality |2x| < 16, what are the two resulting inequalities?

• 2x > 16 and 2x > -16

• 2x < 16 and 2x > -16

• 2x < 16 and 2x < -16

• 2x > 16 and 2x < -16

In the inequality |x/2 - 1| ≥ 2, what is the first step after setting up the two inequalities?

• Multiply both sides by 2

• Divide both sides by 2

• Subtract 1 from both sides

• Add 1 to both sides

When solving the inequality |2x + 26| < 20, what should you do after isolating the absolute value?

• Subtract 26 from both sides

• Multiply both sides by 2

• Divide both sides by 2

• Add 26 to both sides

In the inequality |8x - 16| > 16, what are the two resulting inequalities?

• 8x - 16 < 16 and 8x - 16 < -16

• 8x - 16 > 16 and 8x - 16 > -16

• 8x - 16 > 16 and 8x - 16 < -16

• 8x - 16 < 16 and 8x - 16 > -16