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MATH 1300
Test 1 Review
Chapter 1.1-1.8
Section 1.1 (Numbers)
1
1


  6,


15
 ,
5
 81,
0
, 1.7,  ,
2
18
,
0

17 , 0. 79 ,


7 , 100


From the above set of numbers find the following:
a)
b)
c)
d)
e)
f)
g)
Irrational numbers
Rational numbers
Whole numbers
Integers
Prime numbers
Undefined
Real numbers
2
a)
Number=
b)
Number=
 11
44
11
Select from the list below all the numbers that best describe the above number
Rational, Integer, Whole, Even, Real, Undefined, Prime, Composite and natural
Section 1.1 (Numbers)
3
If
a=7
Fill in the appropriate symbol from the set {<, >, =}.
a)
 3a ______  (9  a 2 )
b)
1
1
____
a 1
a 1
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MATH 1300
4
Test 1 Review
Chapter 1.1-1.8
For each of the following groups of numbers, find their GCD (greatest common divisor) and
their LCM (least common multiple), respectively.
a) 135, 125, 100
b) 16, 24, 36
c) 9, 27, 81
Section 1.3 (Fractions)
5
Let
a = 3, b = 4
Evaluate the following. Write answer in simplest form. (If the answer is a mixed
number/improper fraction, then write answer as an improper fraction.)
(b  3)  8 
  
(3  a)  b 
6 Section 1.3 (Fractions)
Let
a = 3, b = 2
Evaluate the following. Write answer in simplest form. (If the answer is a mixed
number/improper fraction, then write answer as an improper fraction.)
 2
3
a 
2  

b
 2b 


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MATH 1300
Test 1 Review
Chapter 1.1-1.8
Section 1.4 (Exponents)
7
a = 3, b = 7
NOTE: x, k, and m are fixed variables
Simplify the following. The answer should not contain negative exponents.
1
 a b 
 2x x 


1 2a b 3
3 x x
Section 1.4 (Exponents)
8
a = 8, b = 9
NOTE: y, z, c and d are fixed variables
Simplify the following. The answer should not contain negative exponents.
a 1 2 2 0
(ac d ) a
1 1 b3
b c d
1.5 (of operations)
9
Let
a = 7, b = 9, c = 4
Evaluate the following expression
2
a
 4 b  c (3c  a(1) )  3
Section 1.7 (Solving Inequalities)
10
Let
a = 6, b = 9, c = 4
Solve the following expression

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1 ax  9

c
7
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MATH 1300
Test 1 Review
Chapter 1.1-1.8
Section 1.8 (absolute value and equations)
11
Let
a=6 b=9
Solve the following expression:
 3  2 x 1  a  b
12
Let
x=4
Simplify the following expression:
2
13
1
3
3
x
3
25
125
5
Let
y = 5 and
z=7
Simplify the following expression:
2
2
 8  y  (2  z  y )
6y  z
14
Let
x = 4 and y = -1
Simplify the following expression:
 x( 2   2  1  y 2 )
 42  1
15
(2)
Simplify the following expression:
1
2
1
 3(1  16  4  6(3))  7
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