Exploring Multistep Inequalities in Algebra

This video tutorial covers solving multi-step inequalities by combining concepts from previous lessons, such as the distributive property and solving equations with variables on both sides. It includes examples of complex inequalities, graphing solutions, and special cases like no solution or infinite solutions. The tutorial concludes with applying these skills to solve word problems, providing a comprehensive understanding of multi-step inequalities.

What is the main focus of this lesson?

• Graphing linear equations

• Solving multi-step inequalities

• Factoring polynomials

• Solving simple equations

When distributing a negative number across parentheses, what happens to the signs inside the parentheses?

• They flip

• They all become negative

• They all become positive

• They remain the same

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

• Keep the inequality sign the same

• Add the same number to both sides

• Subtract the same number from both sides

• Flip the inequality sign

In the inequality -138 ≥ -6(6b - 7), what is the first step to solve it?

• Add 7 to both sides

• Combine like terms

• Distribute the -6

• Divide by -6

When graphing the solution to an inequality, what does an open circle on the number line represent?

• The inequality is non-strict

• The number is included in the solution

• The inequality is strict

• The number is not included in the solution

If the variables completely cancel out and you are left with a true statement, what is the solution?

• No solution

• One solution

• Infinite solutions

• Cannot be determined

What should you do if the variables cancel out and you are left with a false statement?

• Solve for the variable

• Check your work for errors

• Graph the solution

• State that there is no solution

In the word problem involving Game Gear and OP Games, what is the monthly fee for OP Games?

• $12.50

• $19.99

• $50.00

• $7.49

How do you set up the inequality to compare the costs of Game Gear and OP Games?

• 50 + 12.50m ≥ 19.99m

• 50 + 12.50m = 19.99m

• 50 + 12.50m < 19.99m

• 50 + 12.50m > 19.99m

After solving the inequality for the word problem, what is the minimum number of months for OP Games to cost more than Game Gear?

• 5 months

• 7 months

• 6 months

• 8 months