Solving Two-Step Equations

Solving Two-Step Equations

Using inverse operations to isolate the variable.

​one step + one step = two step!

Red is flagged for importance

​-->Notebook<--

​What is an Equation?

​An equation is a statement that says two expressions have the same value.

​​(THIS EXPRESSION) = (THAT EXPRESSION)

​ ^^ IS EQUAL TO ^^

​EQUATION

EQUALS SIGN

Multiple Select

Select the equations.

• $$\frac{10^5}{10^8}=10^{-3}=\frac{1}{10^3}$$  

• $$\frac{10^8}{10^5}$$  

• $$5c-2c$$  

• $$5c-3c=2c$$  

Multiple Select

Select the equations.

• $$\frac{m^2}{m^5}$$  

• $$y=0$$  

• $$1.5\ \times10^{-4}$$  

• $$\frac{2}{3}+\frac{10}{6}=\frac{2}{3}+\frac{5}{3}$$  

​Two-Step Equations

An equation with a variable expression containing a

coefficient and a constant

​Variable Expression = Total

​Constants

Fill in the Blank

What is the constant?

$$2y+6$$  

Fill in the Blank

What is the constant?

$$9m-\frac{2}{3}$$  

Fill in the Blank

What is the constant?

$$5v+8h-s+13$$  

Fill in the Blank

What is the constant?

$$8+x$$  

​Coefficient

​*factor- the coefficient is multiplied with the variable

Fill in the Blank

What is the coefficient?

$$2y+6$$  

Multiple Choice

What is the operation between the coefficient and the variable?

$$2y$$  

• Addition

• Subtraction

• Multiplication

• Division

Fill in the Blank

What is the coefficient?

$$9m-\frac{2}{3}$$  

Multiple Choice

What is the operation between the coefficient and variable?

$$9m$$  

• Addition

• Subtraction

• Multiplication

• Division

Multiple Select

What are the coefficients?

$$5v+8h-s+13$$  

• $$5$$  

• $$8$$  

• $$-1$$  

• $$13$$  

Multiple Choice

What is the operation between the coefficients and variables?

$$5v,\ 8h,\ -1s$$

• Addition

• Subtraction

• Multiplication

• Division

Fill in the Blank

What is the coefficient?

$$8-x$$  

Multiple Choice

What is the operation between the coefficient and variable?

$$-1x$$  

• Addition

• Subtraction

• Multiplication

• Division

​To solve a two-step equation

​Identify the variable expression.

​

​Step 1: Undo the constant (simplify equation with new total)​

​

​Step 2: Undo the coefficient (simplify equation with new total)

​

Multiple Select

The first step to solve a two-step equation is to undo the ___________

• Coefficient

• Adding/Subtracting

• Constant

• Multiplying

Multiple Select

The second step to solve a two-step equation is to undo the ___________

• Coefficient

• Multiplying/Dividing

• Constant

• Adding/Subtracting

Fill in the Blank

What is the constant in the variable expression?

$$6p+3=18$$  

Fill in the Blank

What is the coefficient in the variable expression?

$$6p+3=18$$  

Multiple Choice

What is the first step to solve this equation?

$$6p+3=18$$  

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 6

• Divide both sides by 6

Multiple Choice

What is the second step to solve this equation?

$$6p+3=18$$  

         -3       -3

         6p = 15

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 6

• Divide both sides by 6

Open Ended

Spot the mistake and give guidance to fix it:

Open Ended

Spot the mistake and give guidance to fix it:

​Get a lined post it from the back counter,

Solve the equation and show each step!

​Name on post-it, turn in