Download MTH 104 Intermediate Algebra

MTH 104 Intermediate Algebra
1st Day Homework B (do not use a calculator)
Name: ______________________
P. Seeburger
1. Which elements of the given set are (a) natural numbers, (b) whole numbers, (c) integers,
(d) rational numbers, (e) irrational numbers, (f) real numbers, (g) undefined?
Many of these numbers belong to two or more sets of numbers.
{4, –2.3,  4 , 0,
5,
5 1
20
, , 9.32,
, 6}
0 8
4
(a) Natural numbers: ___________________
(e) Irrational numbers: _____________________
(b) Whole numbers: ____________________
(f) Real numbers: _________________________
(c) Integers: ___________________________
(g) undefined: ____________________________
(d) Rational numbers: ___________________
2. Indicate whether each of the following sets of real numbers belong to the Natural numbers, the
Whole numbers, the Integers, the Rational numbers, or the Irrational numbers.
Use the letters N, W, I, R, or Irrational. Write as many as apply to all numbers in each set.
Ex. {0, 2, 7}
9
4
, – 17 }
a.
{5,
c.
{0, 4, 7}
W, I, R
_________________
b. {  , 13 , 5 }
__________________
_________________
d.
{3, 5, –8}
__________________
3. Supply the following numbers.
a. The opposite of –3
_________
b. The negative of –9
__________
c. The additive inverse of 12 _________
d. The negative of 20
__________
4. List the order of operations. (It does not have to be in the same words as the book.)
5. Graph the following numbers on the given number line. Be sure you label them.
–3.5, 1, 0, 1.7, 
-4
-3
-2
-1
0
1
2
3
4
6. Simplify. (Be sure to use the order of operations.)
a.
 7
b.
5
c.
1  10
d.
5  45
5  8
e.
5 + 5 · 5 + 5
7. Simplify: –3(7x – 3)
8. Evaluate the following expression where x = –3.
–2x4 + 6x
9. Simplify. Always reduce fractions, but you may leave an answer as an improper fraction.
1
3

2
4
b.
5
 ( 12)
18
d.
a.
5 
c.

2
5

3
6
3 
6
5