Solving Two-Step Inequalities with Positive Coefficients

What is the main topic of week five in the math course?

• Solving one-step equations

• Graphing linear equations

• Understanding fractions

• Solving two-step inequalities

Which previous week's skills are being used to solve two-step inequalities?

• Week 2 and Week 4

• Week 1 and Week 2

• Week 3 and Week 5

• Week 3 and Week 4

What is the first step in solving a two-step equation?

• Graph the equation

• Add or subtract to isolate the variable term

• Multiply both sides by the coefficient

• Divide both sides by the coefficient

What is the difference between an equation and an inequality?

• An equation can only have one solution, while an inequality can have multiple solutions

• An equation has an equal sign, while an inequality has a greater than or less than sign

• An equation has variables, while an inequality does not

• An equation is always true, while an inequality is always false

How do you check if your solution to a two-step equation is correct?

• By graphing the solution

• By substituting the solution back into the original equation

• By dividing both sides by the solution

• By adding the solution to both sides

What does the solution x > 4 mean?

• x can be any number less than 4

• x can be any number greater than 4

• x can only be 4

• x can be any number greater than or equal to 4

How do you graph the solution x > 4?

• Place a closed circle at 4 and shade to the right

• Place an open circle at 4 and shade to the right

• Place a closed circle at 4 and shade to the left

• Place an open circle at 4 and shade to the left

What type of circle is used to graph x ≤ 3?

• Open circle

• Closed circle

• No circle

• Both open and closed circle

When solving 4x - 2 ≥ -18, what is the first step?

• Add 2 to both sides

• Multiply both sides by 4

• Divide both sides by 4

• Subtract 2 from both sides

What is the solution to the inequality 9y + 3 < -96?

• y ≥ -11

• y ≤ -11

• y > -11

• y < -11