Post on 28-Jun-2020
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.