Solving One-Step Inequalities

What is the first step in solving both equations and inequalities?

• Identify the variable

• Apply the inverse operation

• Solve for the variable

• Graph on a number line

What operation would you use to solve the equation X - 5 = 12?

• Subtraction

• Division

• Multiplication

• Addition

How do you balance an equation when applying an operation to one side?

• Apply the same operation to the variable only

• Apply the same operation to both sides

• No need to balance

• Apply the opposite operation to both sides

What is the result of adding 5 to both sides of the equation X - 5 = 12?

• X = 7

• X = 12

• X = 17

• X = 22

Before graphing an inequality, what must be true about the variable?

• It must be multiplied by a negative

• It must be subtracted

• It must be divided by a positive

• It must be isolated

What rule applies when multiplying or dividing both sides of an inequality by a negative number?

• No rule applies

• Subtract 1 from both sides

• Flip the inequality symbol

• Multiply by 2

When graphing x > -3 on a number line, the point at -3 is:

• Closed

• Doubled

• Open

• Not plotted

In the context of graphing inequalities, what does an open point on the number line signify?

• The value is included in the solution

• The value is not included in the solution

• The value is negative

• The value is zero

If you divide both sides of an inequality by 2, what happens to the inequality symbol?

• It remains unchanged

• It doubles

• It flips

• It disappears

What is the correct graphing approach when x divided by -4 is less than or equal to 3?

• Plot a closed point at 12

• Plot an open point at 12

• Plot a closed point at -12

• Plot an open point at -12