Solving Equations and Inequalities Challenge

What is the first step in solving the equation 9(y - 6) = -54?

• Subtract 6 from both sides

• Divide by 9

• Distribute the 9

• Add 54 to both sides

After distributing and simplifying 9(y - 6) = -54, what is the next step?

• Subtract 54 from both sides

• Add 54 to both sides

• Multiply by 9

• Divide by 9

When solving the inequality -8(y + 9) < -32, what should you do after distributing the -8?

• Add 32 to both sides

• Add 72 to both sides

• Divide by -8

• Subtract 72 from both sides

What happens to the inequality symbol when you divide both sides by a negative number?

• It stays the same

• It changes direction

• It becomes an equal sign

• It disappears

In the equation -6x + 12 = -18, what are the like terms that need to be combined?

• -6x and 12

• 12 and -18

• -6x and -18

• None of the above

After combining like terms in -6x + 12 = -18, what is the next step?

• Multiply by -6

• Subtract 12 from both sides

• Add 18 to both sides

• Divide by -6

When solving the inequality -7(x + 1) > 14, what should you do after distributing the -7?

• Subtract 14 from both sides

• Add 7 to both sides

• Subtract 7 from both sides

• Add 14 to both sides

What is the solution to the inequality -7(x + 1) > 14 after dividing by -7?

• x < 2

• x > 2

• x < -2

• x > -2

When graphing the solution to x < -5, what type of circle is used?

• Closed circle

• Open circle

• Half-filled circle

• No circle

In which direction do you shade the graph for the inequality x < -5?

• Downwards

• Upwards

• To the left

• To the right