Learning Resources
Outcomes
By the end of this lesson you will be able to answer questions like the ones in the pre-test below.
If you prefer, you can proceed directly to the first page of the lesson without doing the pre-test. To do this simply click on the Lesson button above.
Alternately you can first answer the questions on the pre-test below in your Math 3103 binder. Then refer only to the pages of the lesson that contain instruction on the questions for which you get an incorrect answer or for which you would like some further explanation.
Pre-test
A. Simplify the following. Do as many as possible mentally and do not use a
calculator:
(1) -16 ¸ 8 - 4 (2) -16 ¸ (8 - 4) (3) -16 - 8 ¸ 4
(4) 2(5 - 3)2 (5) 2(5 - 32) (6) 
(7) 
(8) 
(9) -3x - (2x - 1)
(10) -2x + 3(2x - 1) (11) (x - 4)(x + 3)
(12) (2x - 3)2 (13) 2[5x - 3(x + 1)]
(14) 3x - [(2x - 6) - x] (15) 6 - [4(x - 3) - (3 - x)]
B. Evaluate the following expressions for 
and 
(16) -3x - 2y2 (17) 
By the end of this section you should be able to:
- Apply the order of operations with rational numbers and algebraic expressions.
Introduction
This section consists of one lesson as follows:
Lesson 01 Applying the Order of Operations
This lesson deals with applying the order of operations to simplify numerical and simple algebraic expressions.
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- How to add, subtract, multiply and divide rational numbers.
- How to simplify algebraic expressions.