The document contains an assignment with 5 math problems due on Tuesday, February 7th. It provides lesson material on nets and the surface area formula for cylinders. It includes 4 examples calculating the surface area of cylinders with different radii and heights. The student is asked to find the net, simplify expressions, solve equations, write a percentage as a decimal and fraction, and find all solutions to an absolute value equation.
different mathematical methods and tools to be used in physics throughout the course including curl, gradient and divergence by prof. Priti S Mohanty from KIIT school of biotechnology
different mathematical methods and tools to be used in physics throughout the course including curl, gradient and divergence by prof. Priti S Mohanty from KIIT school of biotechnology
Module 1 Check Your Understanding Discussion Board Tut.docxannandleola
Module 1 Check Your Understanding
Discussion Board Tutorial
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Question
1.
Perform the indicated operations and simplify. (5x – 3y)2
a. 25x2 – 30xy + 9y2
b. 25x2 – 9y2
c. 25x2 – 30xy – 9y2
d. 25x2 + 9y2
2.
Change to radical form. Do not simplify.
a.
b.
c.
d.
3.
Reduce the fraction to lowest terms.
a.
b.
c.
d.
4.
Subtract 2a2 + 6a – 6 from 7a2 – 10a – 7.
a. 5a2 – 4a – 13
b. 5a2 – 4a – 1
c. 5a2 – 16a – 1
d. 5a2 – 16a – 13
5.
Write the expression in simplified radical form.
a.
b.
c.
d.
6.
Evaluate.
a. -
b.
c. 2
d. –2
7.
Factor completely, relative to the integers. x2 + 7x + 8x + 56
a. (x – 7)(x – 8)
b. (x + 7)(x – 8)
c. (x + 1)(x + 56)
d. (x + 7)(x + 8)
8.
Simplify. (2a–7b2)–5
a.
b.
c.
d.
9.
Write the expression in simplified radical form.
a.
b.
c.
d.
10.
Factor completely, relative to the integers. 9x2 + 12x + 4
a. (3x + 2)2
b. (3x – 2)(3x + 2)
c. (9x + 2)(x + 2)
d. (3x + 1 )(3x + 4)
11.
Reduce the fraction to lowest terms.
a.
b.
c.
d.
12.
Add 2x2 – 8x – 5 and 5x2 – 4x – 10.
a. 7x2 – 12x – 15
b. 7x2 – 12x + 5
c. 7x2 + 4x – 15
d. 7x2 + 4x + 5
13.
Simplify and express your answer using positive exponents only.
a.
b.
c. m24
d. m11
14.
Evaluate the expression if it is a real number.
a. -3
b. -9
c. -27
d. -15
15.
Perform the indicated operations and reduce to lowest terms.
a.
b.
c.
d.
16.
Change to radical form. Do not simplify.
a.
b.
c.
d.
17.
Evaluate. (–2)–2
a. 1/4
b. 1
c. 2
d. 4
18.
Perform the indicated operations and simplify. 5x – 4x[8 – 3(x – 2)]
a. 6x2 – 3x
b. 12x2 – 51x
c. 12x2 + 5x + 6
d. 12x2 + 5x – 6
19.
Which of the following is not a polynomial?
a. 4x3 + 5x – 1
b. 2x –
c. 3xy2 + xy
d. 24
20.
Evaluate the expression if it is a real number.
a. 32
b. 4
c. 64
d. 8
21.
Simplify and express your answer using positive exponents only. -1/x-60
a. x4
b. –x60
c.
d.
22.
Perform the indicated operations and reduce to lowest terms.
a.
b.
c.
d.
23.
Write the expression in simplified radical form.
a.
b.
c.
d.
24.
Write the expression in simplified radical form.
a.
b.
c.
d.
25.
Evaluate. 34
a. 81
b. 120
c. 24
d. 3
26.
Factor completely, relative to the integers. 6b4 – 18b3 – 60b2
a. 6b2(b + 2)(b – 5)
b. 6b2(b – 2)(b + 5)
c. 6(b2 + 2)(b2 – 5)
d. b2(2b + 5)(3b + 10)
27.
Perform the indicated operations and reduce to lowest terms.
a. -
b.
c.
d. 1
28.
Factor completely, relative to the integers. 49a2b – b3
a. (7a + b2)(7a – b)
b. b(7a + b)(7a – b)
c. b(7a – b)2
d. Prime, doesn't factor
29.
Simplify and express your answer using positive exponents only. (4w10)(7w6)(2w)
a. 13w60
b. 13w17
c. 56w60
d. 56w17
30.
Change to rational exponent form. Do not simplify.
a.
b.
c.
d.
31.
Evaluate. (–5)4
a. 225
b. 125
c. 625
d. 25
32.
Write 6,640,000 in scient ...
2. Lesson 55 Warm-Up:
1) Simplify and express with positive exponents:
xyx0y-2x-1
2) Solve: [show all steps for full credit]
3x + 7 - x = 21
3) Simplify: -2(x - y) - 3(x + y)
4) Write 120% as a decimal and as a reduced fraction.
5) Find all solutions: -3|x| = -3
2
3. Lesson 55:
*net - a 2-dimensional image of the surfaces of a solid
net of a cylinder
formula for surface area of a
cylinder: 2 rh + 2 r2
3
![Lesson 55 Warm-Up:
1) Simplify and express with positive exponents:
xyx0y-2x-1
2) Solve: [show all steps for full credit]
3x + 7 - x = 21
3) Simplify: -2(x - y) - 3(x + y)
4) Write 120% as a decimal and as a reduced fraction.
5) Find all solutions: -3|x| = -3
2](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)