Lesson 3

Are You Ready?

Complete the following questions. If you experience difficulty and need help, visit Refresher or contact your teacher.

1. Define commutative property. Answer
   
   
2. Define natural numbers. Answer
   
   
3. Expand the following expressions by using the distributive property to eliminate the brackets.
   
   
   1. 5(x3 + 2) Answer
      
      
   2. 4(x2 − 12) Answer
      
      
   3. 2x(x3 + x2) Answer
      
      
   4. 5xy(x3 − 3y4) Answer
      
      
4. Use the distributive property when multiplying these binomials.
   
   
   1. (x − 1)(x − 3) Answer
      
      
   2. (5x − 3)(3x − 2) Answer
      
      
   3. (2x + 1)(2x − 1) Answer
      
      
   4. (5x − 3)(5x + 3) Answer
      
      
5. In which parts of question 4 are you multiplying the factors for the difference of squares? Answer

How did the questions go? If you feel comfortable with the concepts covered in the questions, skip forward to Discover. If you experienced difficulties, use the resources in Refresher to review these important concepts before continuing through the lesson.