Solving One-Step Inequalities: Addition and Subtraction

What is the first step in solving one-step inequalities involving addition or subtraction?

• Isolating the variable

• Adding the same number to both sides

• Subtracting the same number from both sides

• Graphing the solution

In the inequality Z + 7 > -2, what operation should be performed to isolate Z?

• Divide both sides by 7

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 7

What is the solution to the inequality Z + 7 > -2?

• Z < -9

• Z < -7

• Z > -9

• Z > -7

How is the solution to Z + 7 > -2 represented on a number line?

• A closed circle at -9 and shading to the left

• An open circle at -9 and shading to the right

• An open circle at -9 and shading to the left

• A closed circle at -9 and shading to the right

What is the simplified form of the inequality 12 >= B + (-2)?

• 12 >= B

• 12 >= B - (-2)

• 12 >= B + 2

• 12 >= B - 2

What operation should be performed to both sides of the inequality 12 >= B - 2 to isolate B?

• Multiply both sides by 2

• Divide both sides by 2

• Add 2 to both sides

• Subtract 2 from both sides

What is the solution to the inequality 12 >= B - 2?

• B <= 14

• B >= 14

• B <= 10

• B >= 10

How is the solution to 12 >= B - 2 represented on a number line?

• A closed circle at 14 and shading to the right

• A closed circle at 14 and shading to the left

• An open circle at 14 and shading to the right

• An open circle at 14 and shading to the left

What is the boundary point for the inequality 12 >= B - 2?

• 10

• 14

• 2

• 12

What is the key difference between solving one-step equations and one-step inequalities?

• The type of numbers used

• The need to graph the solution

• The operations performed

• The use of an inequality sign instead of an equal sign