# Time to solve equations!

## Presentation on theme: "Time to solve equations!"— Presentation transcript:

Time to solve equations!
What time is it? Time to solve equations!

Solving One-Step Equations
Chapter 2: Section 1 Solving One-Step Equations

What is our goal? When we solve equations we want to isolate the variable to discover its value. We want to find out how much the variable equals. Solution of the Equation: the value of the variable that makes the equation true

Properties of Equality
Addition: If you add the same number to each side of an equation, the two sides remain equal.

Properties of Equality
Addition (cont.): If you add the same negative number to each side of an equation, the two sides remain equal.

So, how are we supposed to use these properties to solve equations?
What is the additive inverse of -10? 10 So what should we add to both sides? 10, so we are going to add 10 to both sides. This allows us to use the additive inverse and identity and then isolate the variable. Now check your work and see if it checks out!!!

How ‘bout another example?
What is the additive inverse of -7? 7 What should we add to both sides? 7, so we are going to add it to both sides. This allows us to use the additive inverse and identity. Therefore, we isolate the variable. Now check your work and see if it checks out!!!

Now you try

Let’s look at some examples
What is the additive inverse of 9? -9 What should we add to both sides? -9, so we are going to add -9 to both sides. This allows us to use the additive inverse and identity and isolate the variable. Now check your work and see if it checks out!!!

This one is a bit tricky!!! What is the additive inverse of 7? -7
What do we add to both sides? -7, so we are using the additive inverse and identity to isolate the variable. Now check your work and see if it checks out!!!

Properties of Equalities (continued)
Multiplication: If you multiply each side of an equation by the same number (this number cannot be zero) then the two sides of the equation remain the same

Properties of Equalities (continued)
Multiplication (again): if you multiply each side of an equation by the same fraction (usually a reciprocal) then the two sides of the equation remain the same.

Let’s look at some examples
First thing you need to do is isolate the variable. In order for us to do this we simply multiply both sides by the multiplicative inverse of the coefficient. What is the multiplicative inverse of 3? 1/3, so we multiply both sides by 1/3. We have used the multiplicative inverse and identity to isolate the variable. Simplify.

Can we have another? First thing you need to do is isolate the variable. What is the multiplicative inverse of 1/4? 4, so we multiply by 4 on both sides, what you do on one side you must do to the other

One more please First thing you need to do is isolate the variable. What is the multiplicative inverse of -1/6? -6, So now we multiply by the reciprocal on both sides; what you do on one side you must do to the other. We have used the multiplicative inverse and identity to isolate the variable and solve the equation.