Solving One-Step EquationsCREATED BY ITA RODRÍGUEZ

Equations•An equation is a mathematical sentence with an equal sign.

•If it doesn’t have an equal sign, it is not an equation! algebraic expression

Equations•Operations are addition, subtraction, multiplication, and division.

•Inverse operations are opposites of each other. addition subtraction multiplication division

•Equations are solved using inverse operations.

Solving Equations by Adding or Subtracting

Solve .

Step 1: Identify which side of the equation the variable is on.Left side

Step 2: Identify what is being done to the variable.Adding 5

Step 3: What is the opposite or inverse operation?Subtracting 5

Now we are ready to use algebra tiles!

Solving Equations by Adding or Subtracting

Solve .

Step 1: Identify which side of the equation the variable is on.

=

Left

Step 2: Identify what is being done to the variable.

=

Adding 5 or Positive 5

Solving Equations by Adding or Subtracting

Solve .

Step 3: What is the opposite or inverse operation?

=

Subtract 5 or Negative 5

Step 4: Balance the equation by doing the opposite or inverse operation on both sides. =

Solving Equations by Adding or Subtracting

Solve .

Step 5: Solve the equation on both sides. =

= 𝑥 =

Solving Equations by Adding or Subtracting

Solve .

Step 1: Identify which side of the equation the variable is on.

=

Right

Step 2: Identify what is being done to the variable.

=

Subtracting 7 or Negative 7

Solving Equations by Adding or Subtracting

Solve .

Step 3: What is the opposite or inverse operation?

=

Adding 7 or Positive 7

Step 4: Balance the equation by doing the opposite or inverse operation on both sides.

=

Solving Equations by Adding or Subtracting

Solve .

Step 5: Solve the equation on both sides.

=

=

Solving Equations by Multiplying or Dividing

Solve .

Step 1: Identify which side of the equation the variable is on.

=

Left

Step 2: Identify what is being done to the variable.

=

Multiplying 3 (3 groups of tiles)

Solving Equations by Multiplying or Dividing

Solve .

Step 3: What is the opposite or inverse operation?

=

Divide 3

Step 4: Balance the equation by doing the opposite or inverse operation on both sides.

=

Solving Equations by Multiplying or Dividing

Solve .

Step 5: Solve the equation on both sides.

=

=

Solving Equations by Multiplying or Dividing

Solve 4.

(Because means half a variable tile, we cannot use algebra tiles to solve. Instead, we will draw a representation.)

A variable k is being divided into 2 parts.

k

Solving Equations by Multiplying or Dividing

Solve 4.

We are told by the equation that each value of k is 4.

k

We can see there are 2 groups 4. 2(4)=

So k= −8.4 4

Solving Equations by Multiplying or Dividing

Solve 4. Now we’ll solve algebraically.

Step 1: Identify which side of the equation the variable is on.

Left

Step 2: Identify what is being done to the variable.

Dividing 2

Solving Equations by Multiplying or Dividing

Solve 4.

Step 3: What is the opposite or inverse operation?

Multiply 2

Step 4: Balance the equation by doing the opposite or inverse operation on both sides.

4

Solving Equations by Multiplying or Dividing

Solve 4.

Step 5: Solve the equation on both sides.

4

Good luck!NOW YOU TRY