Graphing and Solving Inequalities Challenge

What is the main difference between an equation and an inequality?

• An equation is always true, while an inequality is always false.

• An equation always involves addition, while an inequality involves subtraction.

• An equation has many solutions, while an inequality has one solution.

• An equation has one solution, while an inequality has many solutions.

What is the first step in solving the inequality 2k - 3 all over 5 is greater than 7?

• Add 3 to both sides.

• Multiply both sides by 5.

• Divide both sides by 2.

• Subtract 7 from both sides.

When graphing the solution to an inequality, what type of circle is used for 'greater than' or 'less than'?

• Dotted circle

• Shaded circle

• Open circle

• Closed circle

In the inequality 2x + 30 is greater than or equal to 7x, what is the result after subtracting 7x from both sides?

• 2x - 7x

• Negative 5x + 30

• 5x + 30

• 7x - 2x

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

• Leave it unchanged

• Reverse it

• Multiply it by -1

• Add 1 to it

What is the first step in solving the inequality 10 - 2(3x + 2) is less than 11?

• Distribute the -2

• Divide both sides by 3

• Add 2 to both sides

• Subtract 10 from both sides

After distributing in the inequality 10 - 2(3x + 2) is less than 11, what is the next step?

• Combine like terms

• Add 2 to both sides

• Subtract 10 from both sides

• Divide both sides by 3

In the inequality -2(8 - 3x) is greater than or equal to 6x + 2, what happens when both variables cancel out?

• There is no solution

• The inequality is always false

• The inequality is always true

• The inequality symbol reverses

When should you reverse the inequality symbol?

• When you add a negative number

• When you multiply or divide by a negative number

• When you add a positive number

• When you subtract a positive number

If the inequality is written in the wrong order, what should you do?

• Leave it as it is

• Reverse the inequality symbol

• Add 1 to both sides

• Subtract 1 from both sides