Solving One-Variable Inequalities

The video tutorial by Miss Billerbeck covers solving inequalities in one variable. It begins with an introduction to inequalities using a high jump example, followed by detailed steps to solve and graph inequalities. The tutorial includes solving two-step inequalities and addresses special cases like no solution and infinite solutions. Finally, it applies these concepts to a real-world problem involving cost comparison between two florists.

What is Skyler's personal best in the high jump?

• 1.48 meters

• 1.65 meters

• 1.75 meters

• 1.57 meters

Tags

CCSS.HSF.LE.B.5

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

• Flip the sign

• Add a constant

• Subtract a constant

• Keep the sign the same

Tags

CCSS.6.EE.B.8

If x > -8/3, which of the following is true?

• x cannot be -8/3

• x must be exactly -8/3

• x can be -8/3

• x can be less than -8/3

When graphing x ≤ 7/4, what type of point do you use on the number line?

• Open point

• Closed point

• Arrow

• Dashed line

Tags

CCSS.6.EE.B.8

In the inequality 3x < -17, what is the solution for x?

• x < 17/3

• x > -17/3

• x < -17/3

• x > 17/3

Tags

CCSS.6.EE.B.8

What does it mean if an inequality results in 0 < 0?

• There is no solution

• There are infinite solutions

• The inequality is always true

• The inequality is always false

Tags

CCSS.8.EE.C.7A

What does it mean if an inequality results in -5 < -3?

• The inequality is always false

• The inequality is always true

• There are infinite solutions

• There is no solution

Tags

CCSS.8.EE.C.7A

If Florist A charges $4.75 per rose with a $40 delivery fee, and Florist B charges $5.15 per rose with a $25 delivery fee, at what number of roses does Florist A become cheaper?

• 34 roses

• 33 roses

• 38 roses

• 37 roses

If Florist B increases their price per rose to $5.20, at what number of roses does Florist A become cheaper?

• 33 roses

• 34 roses

• 36 roses

• 35 roses

What is the variable used to represent the number of roses in the florist problem?

• y

• r

• x

• z

Tags

CCSS.6.EE.B.6