Download 105HW1_Sum03

Math 105-94 HW Project #1
Name:
Due: July 15, 2002
Write your answers on this sheet. Do all work on a separate sheet of paper and staple the work to this sheet.
1. Evaluate the following:
(a ) 56  18  53  8  3357
(b)  57  17  540  9
(c)11( 4  12)  7(21  5  6)
(d ) 2  23  101
2. Recall, to convert from degrees Fahrenheit to degrees Celsius we need to use the formula
C  95 ( F  32) . Find the Celsius equivalent for each temperature below.
(a) 32F
(b) 200F
(c) 300F
(d) 113F
3. The volume of a sphere with radius r is given by V  43 r 3 . Find the volume of spheres with
radii as follows. Round your answers to 2 decimal places.
(a) 4cm
(b) 3.25cm
(c) 7.5cm
(d) 3cm
4. Complete the following input-output table using H  25  x 2 to find the hypotenuse of a
right triangle with one side 5 inches and the other side x inches.
x
7.5in
10in
11in
33in
H
5. Look for a pattern in the following input-output tables and use it to complete the tables.
x
0
5
10
15
20
(a)
y
32
23
14
6. Complete the following lists of numbers.
(a) 1, 4, 9, 16, ____, ____, ____
3
6
(b) 4 , 8 ,
9
12
, ____, ____, ____
(b)
x
4
14
24
34
44
y
0.1
0.35
0.60
7. Identify each of the following as an equation or an expression.
(a ) 3(2 x  1)  5(2 x  7)
( b) 3 x  7  3
(c) xy  2 x  5
8. Complete the input-output table to determine the solution of the equation 4  6n  7 .
n
0.6
0.5
0.4
0.3
0.2
4+6n
9. Solve the following linear equations algebraically.
(a ) 2 x  3  5
(b) 43 x  3  7
(c)  2 x  5  5x  9
10. Use graph paper for the following. The linear equation –2x + 15 = -1 is given in the form
expression 1 = expressions 2.
(a) Graph the line y = expression 1 using an input-output table.
(b) On the same axes, graph the line y = expression 2.
(c) Solve the equation by locating the point of intersection of the two lines.
11. Solve the following equations algebraically.
( a ) 52 x  4   23  5 x 
(b)  21  x   52 x  3
( c ) 6 x  3  2 x  4 
( d )  24 x  3  5  x 
12. Which of the expression(s) below is not equivalent to the others?
(a )  2x  5  2
( b)  2 x  8
( c )  2 x  6 
(d )  12  2 x