Solving Inequalities: Key Concepts and Techniques

What symbol represents 'less than or equal to'?

• >=

• <

• <=

• >

Tags

CCSS.6.EE.B.8

If you have the inequality '3x + 6 < 0', where should you move the constant 6?

• To the left side

• It should not be moved

• To the right side

• Multiply it across the inequality

Tags

CCSS.7.EE.B.4B

How do you eliminate parentheses in an inequality equation?

• By subtracting from both sides

• By dividing both sides

• By adding to both sides

• Using the distributive property

What should you do first when solving an inequality with multiple terms?

• Move all terms to one side

• Combine like terms

• Apply the distributive property if necessary

• Graph the inequality

In graphing an inequality, what does an open circle represent?

• The number is included in the solution

• The number is not included in the solution

• The solution is undefined

• None of the above

Tags

CCSS.6.EE.B.8

What is the correct graph representation when the inequality is 'x < 3'?

• No shading is needed

• Shade exactly at 3

• Shade to the left of 3

• Shade to the right of 3

Tags

CCSS.6.EE.B.8

In the context of inequalities, what does a filled circle on a graph indicate?

• The value is not included in the solution set

• The value is included in the solution set

• The graph is incorrect

• The inequality is undefined

Tags

CCSS.6.EE.B.8

When solving inequalities, what should you do if you multiply or divide by a negative number?

• Keep the inequality sign the same

• Flip the inequality sign

• Add 1 to each side

• Subtract 1 from each side

Tags

CCSS.6.EE.B.8

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

• It flips

• It disappears

• It doubles in value

• It remains unchanged

Tags

CCSS.6.EE.B.8

What is the correct method to solve the inequality '2x/3 > 4'?

• Subtract 4 from both sides

• Add 3 to both sides

• Multiply both sides by 3

• Divide both sides by 2

Tags

CCSS.6.EE.B.8