Solving Multi-Step Inequalities in Algebra 1

What is the first step in solving a multi-step inequality?

• Graph the inequality

• Distribute any constants

• Simplify parentheses

• Combine like terms

When combining like terms, what should you do if they are on the same side of the inequality?

• Add them together

• Divide them

• Subtract them

• Multiply them

In Example 2, why did we flip the inequality symbol?

• Because we added a negative number

• Because we divided by a negative number

• Because we multiplied by a positive number

• Because we subtracted a positive number

What should you do when you have like terms on opposite sides of the inequality?

• Ignore them

• Combine them

• Add them

• Do the inverse operation

What should you always remember to do when dividing or multiplying by a negative number in an inequality?

• Add the same number to both sides

• Subtract the same number from both sides

• Flip the inequality sign

• Keep the inequality sign the same

What does it mean if you get a statement like '18 is less than 17' when solving an inequality?

• The inequality is incorrect

• There is no real solution

• There is one solution

• There are infinite solutions

What should you do if your variable terms cancel and you get a true statement?

• The inequality is incorrect

• There is no solution

• There are all real solutions

• There is one solution

What is the result of dividing zero by any number?

• The number itself

• Undefined

• Infinity

• Zero

What happens if zero is in the denominator of a division problem?

• The result is undefined

• The result is zero

• The result is the numerator

• The result is infinity

When graphing an inequality, what does a closed dot represent?

• The variable is less than a number

• The variable is greater than a number

• The variable is equal to a number

• The variable is not equal to a number