Simplifying Variable Expressions

Evaluating and Simplifying Algebraic Expressions

by Andrew Forisha

Multiple Choice

Let's start with a review. What type of number is 0.3033033303333....(the number continues in this pattern)?

• Integer

• Rational

• Irrational

• Imaginary

Fill in the Blank

If a whole number is not a natural number, what must the number be?

​Evaluating Expressions

• ​Constants - do not vary

• ​Variables - vary

• ​An algebraic expression is a collection of constants and variables joined together by the algebraic operations of addition, subtraction, multiplication, and division.

Fill in the Blank

Evaluate the expression 11-3y for y=2

Fill in the Blank

Let's try another one. Evaluate $$\frac{\left(y+3\right)}{y-3}\$$  for $$y=5$$ . Simplify your answer, if possible. 

​Simplifying Algebraic Expressions

• ​Use the properties of real numbers.

• ​Only like terms can be combined.

• ​What do I mean by like terms?

• ​Let's do a couple together to feel comfortable with the process.

Fill in the Blank

Simplify the following:  $$3x−2y+x−3y−7$$  

Fill in the Blank

One more, for good measure. Simplify the following: $$4p(q−1)+q(1−p)$$