Lesson 1: Real Numbers

Quiz

Algebra 1

© 2009 Duke University Talent Identification Program

Page 1 of 3

Be sure you have completed the readings and the

Problem Solving Assignment in the Duke TIP

Algebra 1 Course before taking this Quiz. Show all of your work in order to receive full credit.

1. Compute the following without using a calculator.

a) − ⋅ − 216 [3 (6 2 )]

b) + ⋅

÷ +

18 4 3

12 6 4

2. The set S contains {3, 4, 7, 9, 11}. The set R = {1, 2, 4, 9}.

a) Find a set T such that ⊂T S and ⊂T R .

b) Let U be the set that contains all the elements of S that are not

elements of R . List the elements of U .

Lesson 1: Real Numbers

Quiz

Algebra 1

© 2009 Duke University Talent Identification Program

Page 2 of 3

3. List the following real numbers from least to greatest and graph on the

number line: −4

3 , 5 ,

6

7, 0 , −4.3 , 18

4. Evaluate the following without using a calculator.

a) ( )− + − − −4 8 3

b) ( )÷ − ⋅8 12 16 11

c) 4

87

Lesson 1: Real Numbers

Quiz

Algebra 1

© 2009 Duke University Talent Identification Program

Page 3 of 3

5. Given the set { }= 27,36,81A

a) Find the LCM of the elements of A

b) Find the GCF of the elements of A

6. Use the Distributive Property to rewrite ( )−7 15 5 as the difference of two

products.

7. In this lesson, we discussed the Commutative Property of Addition and the Commutative Property of Multiplication. In the space below, explain

why there are not Commutative properties for subtraction and division.