Equations

An equation is...

• a problem that contains at least one variable and at least one operation; no equal sign

• a mathematical sentence showing two expressions are equal.

• The solution for a variable

• The value that results in a true sentence

A solution is...

• A variable that results in a true sentence

• A mathematical sentence showing two expressions are equal.

• Numbers expressed using exponents

• The value for the variable in an equation.

The objective when solving an equation is to....

• isolate the variable.
• check the solution.
• guess and check.
• Combine Like Terms.

Inverse Operations are operations which undo each other.

• True

• False

What is the inverse operation of division?

• Division
• Multiplication
• Addition
• Subtraction

What is the inverse operation of subtraction?

• Subtraction
• Multiplication
• Division
• Addition

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 
• Subtract 62 from each side.
• Multiply each side by 62.
• Add 123 to each side.

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

• Divide both sides by 11

• Multiply both sides by 11.

• Add 11 to both sides.

• Subtract 11 to both sides.

What is the correct step to solve for the variable?
15 = m - 5

• add 15 to both sides
• add 5 to both sides
• subtract 15 from both sides
• subtract 5 from both sides

What would be the best first step to solving the equation?
-6x=-24

• multiply both sides by -6
• divide both sides by -6
• add 6  to both sides
• subtract -6  from both sides