Solving One and Two Step Inequalities in Algebra

The video tutorial by Miss Casillas covers solving and graphing one and two-step inequalities. It explains the process of solving inequalities using similar steps as equations, with the key difference being the need to flip the inequality sign when multiplying or dividing by a negative number. The tutorial also demonstrates how to graph inequalities on a number line, using open or closed circles based on the inequality type. Several examples are provided to illustrate these concepts, including a real-world application involving budgeting for pizza delivery.

What must be done to the inequality sign when multiplying or dividing by a negative number?

• Replace it with an equal sign

• Remove the sign

• Keep the sign unchanged

• Flip the sign

What does an open circle on a graph represent?

• The solution is zero

• The solution is undefined

• The number is not included in the solution

• The number is included in the solution

If x is greater than 2, which direction should the line be shaded on the graph?

• Towards numbers less than 2

• Towards numbers greater than 2

• No shading is required

• Shade the entire line

In the context of graphing, what does a closed circle indicate?

• The number is not included in the solution

• The number is included in the solution

• The solution is all real numbers

• The solution does not exist

How do you solve the inequality -12x >= 156?

• Multiply by -12

• Add 12 to both sides

• Divide by -12 and flip the sign

• Divide by 12

What is the solution when you divide 13 by -2 in an inequality?

• 6.5

• 5.5

• -6.5

• -5.5

What is the correct graph representation for x < -6?

• Open circle on -6, shade left

• Open circle on -6, shade right

• Closed circle on -6, shade left

• Closed circle on -6, shade right

How do you isolate the variable in the inequality 5/2x - 8 < -23?

• Add 8 to both sides

• Subtract 8 from both sides

• Divide both sides by 5/2

• Multiply both sides by 2/5

When graphing the inequality w <= -6.5, where should the circle be placed and how should it be shaded?

• Closed circle on -6.5, shade left

• Open circle on -6.5, shade left

• Open circle on -6.5, shade right

• Closed circle on -6.5, shade right

What is the maximum number of pizzas Janessa can buy if each costs $6, delivery is $5, and she has $35?

• 4 pizzas

• 6 pizzas

• 5 pizzas

• 7 pizzas