Solve Inequalities: Key Concepts and Techniques

What is the main difference between solving equations and solving inequalities?

• Equations are harder to solve.

• Inequalities have more than one solution.

• Equations use different symbols.

• Inequalities are always positive.

Tags

CCSS.6.EE.B.8

Which symbol represents 'greater than or equal to'?

• ≤

• ≥

• >

• <

Tags

CCSS.6.EE.B.8

When solving the inequality 2x - 1 + 1 > 7, what is the first step?

• Combine like terms.

• Use the distributive property.

• Subtract 1 from both sides.

• Divide by 2.

Tags

CCSS.HSA.REI.A.1

How do you check if your solution to an inequality is correct?

• Ask a friend.

• Plug in any number.

• Plug in a number within the solution range.

• Use a calculator.

Tags

CCSS.6.EE.B.5

What type of circle is used on a number line for 'greater than' or 'less than' inequalities?

• Dotted circle

• Shaded circle

• Open circle

• Closed circle

Tags

CCSS.6.EE.B.8

What must you do when you multiply or divide both sides of an inequality by a negative number?

• Subtract the same number from both sides.

• Flip the inequality symbol.

• Keep the inequality symbol the same.

• Add the same number to both sides.

Tags

CCSS.6.EE.B.8

In the inequality -3x - 3 > 9, what is the result after dividing both sides by -3?

• x < -4

• x > -4

• x < 4

• x > 4

Tags

CCSS.7.EE.B.4B

What is the inequality to determine the number of sets of glasses Evelyn needs to buy if each set contains 12 glasses and she needs at least 769 glasses?

• 12x + 205 ≥ 769

• 12x + 205 ≤ 769

• 12x - 205 ≥ 769

• 12x - 205 ≤ 769

Tags

CCSS.7.EE.B.4B

If Evelyn currently has 205 glasses and each set contains 12 glasses, how many sets does she need to buy to have at least 769 glasses?

• 45

• 46

• 47

• 48

What is the correct inequality for a shipping container problem if the answer is less than or equal to 135?

• x < 135

• x ≥ 135

• x > 135

• x ≤ 135

Tags

CCSS.6.EE.B.8