Download Test #1

Name: ______________________________
Mr. Art
Date: ______________
Period: _____________
#Test #1- Number Sense
Real Numbers, Sets, & Compound Inequalities
Page 1 – No Calculators!!!
92
Part I– Rational vs. Irrational (2 pts each)
12
Directions: Write “R” for rational or “I” for irrational
1) 
4
3
2)
4) 0.363636…
2
5) 1. 8
3)  9
6) 0.12345…
Part II – Estimating Irrational Numbers
4
Directions: Between which two consecutive integers does each lie? (2 pts each)
7)
35 is between _____________ and ____________
8) 118 is between ____________ and ____________
Part III – Multiple Choice (2 pts each)
4
9) _______Which set contains ONLY rational numbers? (2 pts)
a)
b)
c)
d)
{
{
{
{
4, 9,
3, 6 ,
4, 8,
9 , 12 ,
16 }
9}
12 }
16 }
10) _______ Given: Set A = {(-4,6), (-2,3)}, Set B = {(3,4), (5,6), (7,8)}, Set C = {(-4,6), (5,6), (9,10)}
What is the union of sets A, B and C?
a)
{(-4,6), (5,6)}
b)
{(-4,6), (-4,6), (5,6), (5,6)}
c)
{(-4,6), (-2,3), (3,4), (5,6), (7,8), (9,10)}
d)
{(-4,6), (-4,6), (-2,3), (3,4), (5,6), (5,6), (7,8), (9,10)}
1
Name: ______________________________
Mr. Art
Date: ______________
Period: _____________
Pages 2 – 5: Calculator Permitted 
Part IV – Compound Inequalities (8 pts each)
18
Directions: Solve each inequality and graph the solution. (Solve = 3 pts, Solution = 3pts & Graph = 3 pts)
11)
2  t  4  3
12)
Solution: ____________________________
----|-----|----|----|----|----|----|----|----|----|----|----
-2 -1 0 1 2 3 4 5 6 7 8
3r  27 or 4r  6  14
Solution: ___________________________
----|-----|----|----|----|----|----|----|----|----|----|----
-10 -8 -6 -4 -2 0 2 4 6 8 10
Part V – Translating Verbal Phrases into Inequalities (2 pts each)
4
Directions: an inequality to model each sentence. *Remember your Let Statements!!
13) The high temperature will be at least 75° F today.
14) Four more than three times a number is at most 90.
Part VI – Interval Notation & Roster Form (2 pts each)
4
Directions: Re-write the sets below into the notation indicated.
15) {n | whole numbers less than 5} Equivalent Roster Form: ________________________
16) {x | 7 < x ≤ 10}
Equivalent Interval Notation: ____________________
2
Part VII – Sets of Real Numbers (2 pts each)
10
Directions: Match each of the following with the BEST real number set. Only use each set ONCE.
Place the letter of the correct response in front of each set. (2 pts each)
17) _______ Counting Numbers
a) {… -3, -2, -1, 0, 1, 2, 3 …}
18) _______ Whole Numbers
b) { ∏, 1.23234…,
19) _______ Integers
c) { 0, 1, 2, 3 …}
20) _______ Rational Numbers
1
d) { -1, 5, 6 , 15, 3.75, 36,
2
21) _______ Irrational Numbers
e) { 1, 2, 3 …}
42 }
81 , 100}
Part VIII - Placing Real Numbers on a Number Line (2 pts each)
12
Directions: Graph the following numbers on the real number line below. (#’s 22-27)
-4
10
-1.2
2½
0.75
2
3
3
Part IX – Properties of Sets (2 pts each)
6
Directions: Answer each question in full sentences.
28) Is the statement below true or false? If false, give a counterexample.
All rational numbers are whole numbers.
29) Is – 8.25 an integer? Why or why not?
30) Is
68 irrational? Why or why not?
Part X – Venn Diagram (2 pts each)
8
Directions: Use the Venn diagram below to answer the following questions.
31) What is the Universal Set? { __________________________ }
32) A  B = { ______________________________ }
33) A  B = { ______________________________ }
34) What is the complement of Set A? { ____________________ }
A
1
B
4
6
2
3
5
7
1
0
8
9
4
Part XI – True or False (2 pts each)
10
Directions: Identify each statement as True or False. The word “True” and “False” must be written out.
35) __________
{4,5,7,8} is a subset of {4,5,7}
36) __________
{whole numbers} is a subset of {the real numbers}
37) __________
{4, 6, 8} and {4, 6, 8, 10} are equal sets
38) __________
{a, b, c, d} and {m, n, p} are equivalent sets
39) __________
{4,10,6,8} and {4,6,8,10} are equal sets
5