2-2: Solving One-Step Equations

Solving One-Step Equations

Solving an equation means to find the value of the variable

x=9, y=100, c=-23, z=1/2

What is our goal in solving a one step equation?

• Get the variable by itself on either side of the equation

How do we get there?

• Use the inverse (opposite) operation

• Do the same thing to both sides of the equation

Multiple Choice

What is the inverse of addition?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the inverse of multiplication?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the inverse of division?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the inverse of subtraction?

• addition

• subtraction

• multiplication

• division

Solving by Adding

• We add the number on the side with the variable on both sides to get the variable by itself!

Checking your answer

Plug back in the value you get for the variable to see if the equation is true.

Solving by Subtracting

• We subtract the number on the side with the variable on both sides to get the variable by itself!

Multiple Choice

Solve for x

x - 12 = 2

• 24

• 10

• 20

• 14

Multiple Choice

Solve for x

x + 4 = -3

• -1

• 4

• -7

• 8

Multiple Choice

Solve for y

35 = y - 3

• -38

• -4

• 32

• 38

Multiple Choice

To Solve the Equation Below, you would?

x - 62 = 123

• add 62 to each side

• subtract 62 from each side

• multiply each side by 62

• Add 123 to each side

Solving by Multiplication

• We multiply the number on the side with the variable on both sides to get the variable by itself!

Solving by Dividing

We divide the number on the side with the variable on both sides to get the variable by itself!

Solving with Fractions

Remember, to divide by a fraction we need to multiply by the reciprocal!

Multiple Choice

Solve for c

3c = 12

• 36

• 4

• 15

• 9

Multiple Choice

 $\frac{x}{-3}=-4$  Solve for x

• 7

• -12

• 12

• 2

Multiple Choice

in 3a =12,

I would....

• add 3 to both sides

• subtract 3 from both sides

• divide both sides by 3

• divide just the right by 3

Multiple Choice

Solve the equation below:

• k = 152

• k = 176

• k = 5

• k = 27

Fill in the Blank

Solve for q

 $\frac{2}{7}q=-4$  

Fill in the Blank

 $\frac{5}{9}p=-10$  

Solve for p

Poll

Rate your understanding. How do you feel about your understanding in solving one-step equations?

• 4

  
  

  I am an expert. I can explain how to do this. I can teach others

• 3

  I can do this independently. I've got a good understanding.

• 2

  
  

  I can do this with help or an example. There are parts I do not understand

• 1

  I don't understand it yet, but am starting to learn. I need help learning this.