Solving Multistep Inequalities and Word Problems

This video tutorial covers solving multi-step inequalities, including graphing them on a number line and applying them to word problems. It also explores finding averages using inequalities and solving problems involving consecutive integers. The tutorial provides step-by-step instructions and examples to help students understand and apply these concepts effectively.

What is the first step in solving a multi-step inequality?

• Divide both sides by the coefficient

• Perform addition or subtraction

• Identify the type of inequality

• Graph the inequality

When graphing 'x < 8', why do we use an open circle at 8?

• 8 is included in the solution

• 8 is not included in the solution

• It represents an error in calculation

• The inequality is non-linear

Tags

CCSS.6.EE.B.8

What operation is necessary to isolate the variable in '3x > 21'?

• Multiplication

• Subtraction

• Addition

• Division

Tags

CCSS.6.EE.B.8

What is the significance of the open circle in inequality graphs?

• It excludes the number from the solution set

• It includes the number in the solution set

• It indicates a decimal value

• It represents zero

Tags

CCSS.6.EE.B.8

What does the direction of the arrow on the number line indicate in an inequality graph?

• The exact value of the solution

• The range of possible solutions

• The values decrease

• The values increase

Tags

CCSS.6.EE.B.8

Why do we switch the inequality sign when multiplying or dividing by a negative number?

• To maintain the inequality's truth

• It's a mathematical error

• It simplifies the expression

• To balance the equation

Tags

CCSS.6.EE.B.8

In a word problem, if Joe saves $15 per week, what algebraic expression represents his savings over 'w' weeks?

• 15 / w

• 15 + w

• 15w

• 15 - w

Tags

CCSS.HSA-SSE.A.1A

In the context of word problems, what does 'at least' imply about the inequality sign?

• Less than

• Greater than or equal to

• Equal to

• Not equal to

Tags

CCSS.6.EE.B.8

How do you determine the greatest possible odd integers whose sum is less than 100?

• Graph the integers on a number line

• Solve 3x + 6 < 100

• Solve x + x + 2 + x + 4 < 100

• Use a trial and error method

For the sum of three consecutive odd integers to be less than 100, what is the maximum value for the smallest integer?

• 35

• 33

• 31

• 37