Solving Equations & Inequalities

We make zero by adding _____.

• Reciprocals

• Opposites

• Constants

• Coefficients

We make 1 by multiplying _____.

• Reciprocals

• Opposites

• Constants

• Coefficients

What is the inverse operation of multiplying?

• Adding

• Subtracting

• Multiplying

• Dividing

What is the inverse operation of subtracting?

• Adding

• Subtracting

• Multiplying

• Dividing

When solving an equation, it is important to always... _____.

• undo multiplying with subtraction

• do an operation to ONLY one side

• do the same thing to BOTH sides of the equation

• put more things on the side with the variable

When solving an equation, we undo the operations in what order?

• PEMDAS

• Reverse PEMDAS

• The simplest way

• Same order that we do calculations

When writing equations, "each" and "per" and "of" represent what operation?

• Addition

• Subtraction

• Multiplication

• Exponents

After solving an equation, how can you prove your solution is correct?

• Substitute the solution back into the original equation and show it makes a true statement.

• Redo the solving process and see if the same solution results.

• There is no way to prove that a solution is the correct one.

• Just say your solution is correct!

• Place a open dot on 5 on the number line and draw an arrow to the left.

• Place a solid dot on 5 on the number line and draw an arrow to the left.

• Place a open dot on 5 on the number line and draw an arrow to the right.

• Place a solid dot on 5 on the number line and draw an arrow to the right.

When solving inequalities, the only time we change the inequality sign is when _____.

• there is a negative number on the right side of the inequality

• we write a new inequality after doing the same thing to both sides

• we multiply or divide by a negative number on both sides

• we multiply or divide both sides