Algebra Review with Chemistry in mind.

Algebra review with Chemistry In Mind

10/11/22

​Today we are going to relearn some basic Algebra.

Dr. Miller | Chemistry

• Isolating a variable

​Today we are going to relearn some basic Algebra.

Dr. Miller | Chemistry

• Isolating a variable

Methods to isolate a variable.

• Use subtraction to UNDO addition

• Use addition to UNDO subtraction

• Use division to UNDO multiplication

• Use multiplication to UNDO division

​There are several methods for isolating a variable. Let's look at some examples.

​Example 1: In the following equation, isolate the variable X in the following equation.

22 = X + Y​

​There are several methods for isolating a variable. Let's look at some examples.

​Example 1: You can solve for the variable X by isolating it to one side of the equation.

22 = X + Y​

-Y = -Y

​

​There are several methods for isolating a variable. Let's look at some examples.

​Example 1:

22 = X + Y​

-Y = -Y

22 - Y = X​

Multiple Choice

In the equation below, solve for Y by isolating it to one side of the equation.

Y - X = 111

• Y = 111 - X

• X = 111 + Y

• Y = 111 + X

• Y = 111(X)

Let's practice something similar with temperature conversions.

Let's practice something similar with temperature conversions.

Let's practice something similar with temperature conversions.

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Let's practice something similar with temperature conversions.

In the last example, we used two different techniques for isolating variables, subtraction and division.

Multiple Choice

Isolate mass in the following equation:

$$D\ =\ \frac{m}{V}$$  

• $$D\left(V\right)\ =\ m$$  

• $$\frac{D}{V}\ =\ m$$  

Multiple Choice

Isolate wavelength in following equation:

$$c\ =\ \lambda\left(\nu\right)$$  

• $$\frac{c}{\nu}\ =\ \lambda$$  

• $$c\ =\frac{\lambda}{\nu}$$  

• $$\frac{c}{\lambda}=\nu$$