Upcoming SlideShare
×

# Homework packet

610 views

Published on

Published in: Technology
0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
610
On SlideShare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
1
0
Likes
0
Embeds 0
No embeds

No notes for slide

### Homework packet

1. 1. IA2 Homework Homework 2 Perform the indicated operation: 1. (x3 + 9x – 5) + (-4x3 – 12x + 5) 2. (x2 – 33x + 15) + (-4x2 + 18x – 36) 3. (3a2 – 2ab + 3b2 ) – (a2 – 5ab + 3b2 ) 4. (x2 – 6x + 5) – (3x2 – 2x – 2) 5. (x2 – 9) – (-2x2 + 5x – 3) 6. From 4x + 2y, subtract x – 4y. 7. Subtract 2x2 – 3x + 7 from x2 + 6x – 12. 8. Subtract 2c2 + 3c – 4 from 0. Homework 3 Perform the indicated operation and simplify: 1. 5(d + 3) – 10 2. 3(2 – 3c) + 5c 3. 7 + 2(7x – 5) 4. 5x(2x – 3) + 9x 5. (a + 2)(a + 3) 6. (12 – r)(6 + r) 7. (3d + 8)(3d – 8) 8. (5x – 4 + 2x2 )(3 + 4x) 9. (x + 7)(x – 2) – x2
2. 2. IA2 Homework Homework 4 Divide: 1. (10x + 20y) ÷ 5 2. (tr – r) ÷ r 3. 2 b6a12 4. x5 x15x20 2 5. a aa3a2 23 6. 22 223344 sr5 sr5sr20sr15 Homework 5 Divide using synthetic division: 1. Divide s2 + 2s – 15 by s + 3 2. 8x6x2x 2 3. Divide x2 – 64 by x – 8 4. The area of a rectangle is represented by x2 – 8x – 9. If the length is represented by x + 1, how can its width be represented? Homework 6 Divide using synthetic division: 1. Divide x2 – 10x – 20 by x + 2 2. Divide y2 + 2y – 7 by y – 2 3. 70x17x6x 2 4. One factor of x2 – 4x – 21 is x – 7. Find the other factor.
3. 3. IA2 Homework Homework 7 Write each expression in factored form: 1. sr – st 2. p + prt 3. 4x2 – 4y2 4. 2x – 4x3 5. 10xy – 15x2 y2 6. y2 – 64 7. t2 – 25 8. 4r2 – b2 9. 9 – m2 10. 16a4 – 25b6 11. s2 - 100 64 Homework 8 Write each expression in factored form: 1. a2 + 3a + 2 2. x2 – x – 2 3. z2 + 9z – 36 4. w2 – 16w + 64 5. 2x2 + 12x + 8 6. 2ax2 – 2ax – 12a 7. 4x2 – 4 8. 63c2 – 7 Homework 9 Write each expression in factored form: 1. 2x2 + 5x + 2 2. 2x2 + 7x + 6 3. 3x2 10x + 8 4. 16x2 + 8x + 1 5. 2x2 + x – 3 6. 4x2 – 12x + 5 Homework 10 Write each expression in factored form: 1. by2 – 4b 2. 3x3 – 6x2 – 24x 3. x4 – 16 4. m2 – 81 5. 6x + 27b 6. x2 – 16h2 7. abx2 - ab
4. 4. IA2 Homework Homework 11 Factor each expression: 1. x3 + 8 2. 27x3 + 1 3. 8a6 + 64b3 4. x3 + y3 Homework 12 Factor each expression: 1. a3 – b3 2. x3 – 64 3. 8x3 – 27 4. x6 – y9 Homework 13 Factor each expression completely: 1. 64x3 + 125 2. 3y3 – 81 3. 2x3 + 54 4. x2 – 100 5. 2x2 – 128x 6. x2 – 19x + 90
5. 5. IA2 Homework Homework 14 Simplify each expression: 1. 4 2 x35 x15 2. x10 x6x2 2 3. 4x5x 16x 2 2 4. 8y 12y3 3 2 5. 15bb2 b6b2 2 2 Homework 15 Perform the indicated operation. Be sure to simplify your answer! 1. 9x x6x2 x6 y3xy 2 2 2. xy z5 z5 yx 3. x15x3 x30x3 20x4 20x4 2 2 4. bb2 b8b8 b8b4 2b3b2 2 23 2 2 5. If the side of a square measures 2x 1x , express the area of the square in terms of x. Homework16 Perform the indicated operation. Be sure to simplify your answer! 1. 1x 1 1x 1x 2 2 2. 3m m6 m3 3m 3. 2 2 2 2 )4n( n8 16n n8n2
6. 6. IA2 Homework 4. 3 23 2 2 y4 y10y2 1y4y4 5y11y2 5. 32 3 22 23 ycy yc yc ycc Homework 17 Perform the indicated operation. Be sure to simplify your answer! 1. 50x5 2x 2x 100x2 2. 18x6 x3 x 6x2 2 2 3. x2 9x3 x4 9x2 4. 2 ab 1 ab 1 5. 2 k4 12k12 k 3k3
7. 7. IA2 Homework Homework 18 Perform the indicated operation and simplify your answer! 1. 5 x3 5 x4 5 x3 2. 4x x 4x 4 3. 4x4 x2 4x4 3x5 4. k3k 9k k3k k2 2 2 2 2 5. 16x 3x5 16x 1x 22 2 Homework 19 Perform the indicated operation and simplify your answer! 1. 4 x 8 x3 2. 3 3c 2 2c 5. 5x 3 x 2 7. 3y 5 2y 1 8. 9y 18 3y y 2 9. 8m2 2m 16m 1m3 2 Homework 20 Solve the fractional equation. Be sure to check your answer(s)! 1. 62 5 x 2. 4 1 y12 1 3. 1x 1 x 2 1x x 4. 4x x 4x 4 2
8. 8. IA2 Homework 6. y2y 4 y 2y 2
9. 9. IA2 Homework Homework 21 Graph each line on the graph provided (be sure to label) and rewrite each equation in standard form (Ax + By = C). 1. 4x – y – 7 = 0 2. y = -5x + 2 3. y = 4 5 4 3 x Homework 22 Solve the linear system by graphing each line. Be sure to label! 1. x + y = 4; x – y = 2 2. y = -2x + 3; y = 2 1 x+3 3. 3x + y = 6; y = 3
10. 10. IA2 Homework 4. x + 4y = 6; x = 2 Homework 23 Show the graph for each inequality. 1. 2y – 6x > 0 2. x ≤ 2 3. y – x ≥ 5 Homework 24 Solve each system of inequalities. Be sure to label! 1. x ≥ 1; y > -2 2. y < x – 1; x + y ≥ 2 3. x + 3y ≥ 6; x + y – 4 ≤ 0
11. 11. IA2 Homework Homework 25 Use the graph provided to graph each parabola. 1. y = x2 – 4x 2. y = -x2 + 2x + 5 3. y = x2 – 2x – 3 Homework 26 Solve the system of equations graphically. 1. y = x – 4; y = x2 – 6x + 6 2. y = -x2 + 3; y = 2 3. y = 2 1 x2 + 1; x + y = 1
12. 12. IA2 Homework Homework 27 Solve the inequality using the graph provided. 1. y < x2 2. y ≥ -x2 + 6x 3. y ≤ 3x – 2 1 x2
13. 13. IA2 Homework Homework 28 Simplify the radical expressions. 1. 75 2. 300 3. 9 y92 4. ba2 5. 7 x125 Homework 29 Simplify the radical expressions. 1. 3 24 2. 3 6 2 3 x16 3. 3 5 5 4 y125 4. 3 7 n 5. 3 11 a56a4 Homework 30 Perform the indicated operation and simplify your answer. 1. 80180 2. 75xx48 612 3. 28378700 4. 31248 5. 3 33 3 y16y250 6. 333 x27x8x64 Homework 31 Perform the indicated operation and simplify your answer. 1. )175(75 2. )123(312 3. 96150520 4. 3 1233 a640a
14. 14. IA2 Homework Homework 32 Perform the indicated operation and simplify. 1. 205 2. 2323 3. 185 3 1 4. 5 xx 5. 33 255 6. 33 2 x6x9 7. )1234(3 8. )382(23 9. )73)(72( 10. )325)(325( Homework 33 Perform the indicated operation and simplify. 1. 5 80 2. 64 4824 3. 3 3 26 12830 4. 3 4875 5. 52 15652
15. 15. IA2 Homework Homework 34 Solve and check each solution. 1. 3x 2. 3x6 3. 6x3 4. 52x 5. 9y5 6. 471y2 7. 5x1x Homework 35 Solve and check each solution. 1. 3y22y 2. xx 3. 16y6y 5. 22y45 6. y2303y Homework 36 Graph each radical equation on the graph provided. 1. x2y 2. 3xy 3. 4xy
16. 16. IA2 Homework 4. 8x24x
17. 17. IA2 Homework Homework 37 Write the given power of i in simplest terms as 1, i, -1, or -i. 1. i12 2. i7 3. i49 4. i72 5. i54 6. i99 7. i300 8. i246 9. i91 10. i2001 Homework 38 Express each number in terms of i and simplify. 1. 36 2. 81 3. 482 4. 93 2 5. 113 6. 4 x20 7. 5 d75d2 8. 3 8 Homework 39 Write each number in terms of i, perform the indicated operation, and write the answer in simplest terms. 1. 3664 2. 12143 3. 322002 1 4. 50182 5 1 5. 1238 Homework 40 Write each number in terms of i, perform the indicated operation, and write the answer in simplest terms. 1. 149 2. 182
18. 18. IA2 Homework 3. 334 4. 102103 5. 25 400 6. 2 98 7. 34 48
19. 19. IA2 Homework Homework 41 Perform the operation and express the result in a + bi form. 1. (10 + 3i) + ( 5 + 8i) 2. (7 – 2i) + (3 – 6i) 3. (4 – 2i) + (-3 + 2i) 4. (6 + 3i) – (2 + i) 5. (-8 + 5i) – (5 – 7i) 6. (9 – 2i) – (9 – 5i) 7. Subtract 2 – 13i from 7 – 5i. 8. Express the sum of 99 and 165 in simplest a + bi form. Homework 42 Write the product of the given numbers in a + bi form. 1. (3 + i)(4 + i) 2. (5 – i)(3 + i) 3. (1 + 3i)(2 – i) 4. (4 – 5i)(2 + i) 5. (1 – 3i)(5 – 3i) Multiply the conjugates and write the product as a real number. 6. (4 + i)(4 – i) 7. (1 + 5i)(1 – 5i) 8. (7 – 2i)(7 + 2i) 9. )i5)(i5( 10. )3i6)(i36( Homework 43 State the conjugate of each complex number: 1. 3 + i 2. 4 – 8i 3. 3i2 4. 7 – 5i Perform the indicated operation. 5. i1 i35 6. i21 i47 7. i5 i21
20. 20. IA2 Homework 8. i75 i32 9. i32 i4 Homework 44 State the additive and multiplicative inverse of each complex number in simplest a + bi form. 1. i4 i4 2. i32 i32 3. i2 i Homework 45 State the additive and multiplicative inverse of each complex number in simplest a + bi form. 1. 3 + i 2. 5 + 6i 3. 4 – 3i 4. -2 + 4i Homework 46 Use the graph provided to graph each complex number as a vector. 1. 2 + 3i 2. 5 + i 3. 3 – i 4. -2 – 6i 5. -4 + i
21. 21. IA2 Homework Homework 47 1. On a flat panel tv that cost \$500, the sales tax is \$43.75. Find the sales tax on a tv that cost \$689. 2. Steve shoveled 20 driveways and earned \$450. At this rate, how many more driveways would Steve have to shovel to earn a total of \$1057.50? 3. At your annual holiday party, you ran out of punch really quickly. You estimated that 2 gallons served 15 people. At this rate, how many more gallons would you have needed if 105 people were at your party? 4. The football team is ordering sweatshirts. Each sweatshirt is \$40 but if the team orders 25 or more, they are reduced by 10%. If the team orders 50 or more, they are reduced another 10%. If 55 were ordered, what was the price of one sweatshirt? Homework 48 1. Direct variation is a _____________________ between y and x. 2. If y varies directly as x then ______________ where k is the __________________________. 3. If y varies directly as x, and y = 12 when x = 2, find the constant of variation. 4. If y varies directly as x, and y = 20 when x = 40, find the constant of variation. 5. Find the relationship in the direct variation below if y varies directly as x: X 1 2 3 4 5 Y 3 6 9 12 15
22. 22. IA2 Homework Homework 49 Find the constant of variation and fill in the missing values in each direct variation below. 1. y varies directly as x: x 3 -1 ? -5 y -30 ? 40 50 2. What is the equation for #1? 3. b varies directly as a: B -3 5 ? 12 A -15 ? 25 60 4. What is the equation for #3? 5. x varies directly as y: x 2 8 ? 10 y 1 ? 12 5 6. What is the equation for #6?
23. 23. IA2 Homework Homework 50 1. If x varies inversely as y and x = 24 when y = 6, what is the value of y when x = 12. 2. If x varies inversely as y and x = 45 when y = 4, find x when y = 3. 3. If a varies inversely as b, find the missing value in the table: A 3 9 27 81 B 270 90 10 Homework 51 1. A company that produces personal computers has determined that the number of computers it can sell (n) is inversely proportional to the price (p) of the computer. Three thousand computers can be sold when the price of a computer is \$1200. Approximately how many computers can be sold when the price is \$2000? 2. The pressure (p) of a gas varies inversely as the volume (v). If the pressure is 25lb/in2 when the volume is 400ft3 , find the pressure when the volume is 150ft3 . 3. The number of people at Amanda’s party is inversely proportional to the amount of watermelon slices they get. If 60 people get 5 watermelon slices each then how many slices will each person get if there are 100 people at the party?
24. 24. IA2 Homework Homework 52 Solve each equation below. 1. (x - 3)(2x + 1) = 0 2. x2 – 13x + 42 = 0 3. x2 + 12x = 28 4. 2x2 - 11x = x2 - 3x +12 Homework 53 Solve each equation using the quadratic formula. 1. x2 – 6x + 7 = 0 2. x2 + 10x -11= 0 3. x2 = 2x -5
25. 25. IA2 Homework Homework 54 Solve each equation by completing the square. 1. a2 – 8a = 20 2. x2 – 2x = 3 3. x2 + 12x + 35 = 0 Homework 55 Solve each equation by completing the square. 1. x2 – 9x + 18 = 0 2. x2 – 7x + 12 = 0 3. x2 + 5x – 6 = 0
26. 26. IA2 Homework Homework 56 State the center and radius of each circle equation given. 1. (x – 3)2 + (y – 5)2 = 16 2. (x + 1)2 + (y – 7)2 = 25 3. x2 + (y + 4)2 = 9 4. (x - 2)2 + (y + 4)2 = 12 5. 2(x + 9)2 + 2(y – 5)2 = 72 Homework 57 Complete the square to find the standard equation for the circle AND the center and radius. 1. x2 + y2 +6x + 8y + 9 = 0 2. x2 + y2 -6x + 4y + 4 = 0 3. x2 + y2 -10x + 8y + 40 = 0
27. 27. IA2 Homework Homework 58 Complete the square to find the standard equation for the circle AND the center and radius. 1. x2 + y2 – 2x + 4y – 20 = 0 2. x2 + y2 – 4x + 8y + 4 = 0 3. x2 + y2 – 6x + 10y + 25 = 0
28. 28. IA2 Homework Homework 59 Determine whether each of the below graphs represent a function. Homework 60 1. The graph of function f is shown at the right. Find the following: a. f(-1) b. f(1) c. f(0) d. f(3) 2. If a function g is defined by g(x) = 2x + 15, find the value of g(-3). 3. If a function k is defined by 3x x6 )x(k , find the value of a. k(2) b. k(9) c. k(0) d. k(6) e. k(-3)
29. 29. IA2 Homework f. k(3)
30. 30. IA2 Homework Homework 61 Given f(x) = x3 and g(x) = x + 1, determine: 1. f ○ g(0) 2. g [ f(0) ] 3. f [ g(1) ] 4. g○ f(-1) Given f(x) = 2x - 5 and g(x) = 5x + 2, determine: 5. f ○ g(0) 6. g [ f(0) ] 7. f [ g(3) ] 8. g○ f(-2) Homework 62 Find the composition of the given functions. 1. f ○ g(x) when f(x) = x2 and g(x) = x + 1. 2. f ○ g(x) when f(x) = 1x 5 and g(x) = 2x. 3. g○f(x) when f(x) = 3x + 4 and g(x) = 2x – 1. 4. g○f(x) when f(x) = x - 1 and g(x) = 2x2 + x – 1.
31. 31. IA2 Homework
32. 32. IA2 Homework Homework 63 Graph each function: 1. y = 2x3 2. y = | x | + 2 3. y = | x + 2 | 4. y = 1x2
33. 33. IA2 Homework Homework 64 Graph each function. 1. y = x2 2. y = x3 3. y = (x - 2)2 + 1 4. y = x3 - 5
34. 34. IA2 Homework Homework 65 Graph each function. 1. y = (x - 3)2 + 1 2. y = | x + 1 | 3. y = 24x
35. 35. IA2 Homework Homework 66 Graph each function: 1. y = x2 2. y = y = (x - 2)2 + 1 3. y = (x + 3)2 - 4 4. y = (x + 5)2
36. 36. IA2 Homework Homework 67 Graph each parent function. 1. y = x3 2. y = (x + 2)3 3. y = (x - 2)3 - 3 4. y = x3 - 5
37. 37. IA2 Homework Homework 68 Graph each function. 1. y = 1x 2. y = 4x 3. y = 24x Homework 69 Graph each function. 1. y = | x | 2. y = | x – 1 | 3. y = | x + 3 | + 5
38. 38. IA2 Homework Homework 70 Determine whether each function shown below is one- to-one. 1. 2. 3. Homework 71 Find the inverse of each function provided. 1. (2, 3) (4, 5) (6, 7) 2. (0, 0) (1, 1) (2, 4) 3. (4, 2) (9, 3) (16, 4) 4. Draw a sketch of a function and its inverse, which should also be a function below.
39. 39. IA2 Homework Homework 72 Find the inverse of each function provided. 1. y = x – 6 2. y = 2 1 x 3. y = 3x – 6 4. y = 5 x +3 5. y = 4 2x3 Homework 73 Find the inverse of each function provided. 1. y = 2x + 5 2. y = 2 1 x - 6 3. y = .75x – .25 4. y = 5 20x10
40. 40. IA2 Homework Homework 74 Find the inverse of the given function. Graph both the given function and its inverse. 1. y = x + 1 2. y = 3x 3. y = -2x – 5 Homework 75 Find the inverse of the given function. Graph both the given function and its inverse. 1. y = 4 1 x 2. y = 2x+ 5 3. y = x2
41. 41. IA2 Homework Homework 76 Simplify: 1. x3 ● x5 2. 7 12 b b 3. (x4 )2 Evaluate f(x) with the given value: 4. f(x) = 2x f(2) 5. f(x) = 4x-1 f(3) 6. f(x) = 32x+1 f(3) 7. f(x) = 2 1 x f(-1) Homework 77 Graph each exponential function: 1. f(x) = 2x 2. f(x) = 3x+1 Homework 78 Solve each exponential equation: 1. 2x-1 = 82 2. 9x+1 = 27x 3. 16x-3 = 4x-3 4. 32x-1 = 3x+2 5. 53x = 25x+1 6. 6x = 2164x-4 7. 4x = 16 8. 22x =64 9. 3x-1 =27
42. 42. IA2 Homework Homework 79 Memorize these log rules: logab = x ax = b log ab log a + log b log b a log a – log b log ax x ● log a Expand each expression: 1. log ab 2. log (a ÷ b) 3. log (a2 b) 4. log b a 5. log ba 6. log (ab)2 Condense each expression: 7. 2log x – log y 8. log 2x – log 2y 9. 3(log x + log y) 10. log a - 2 1 log b Homework 80 Write the exponential equation in logarithmic form: 1. 24 = 16 2. 32 = 9 3. 10-2 = 0.01 4. 120 = 1 5. 3 1 8 =2 6. 2 1 5 = 5 7. 6-1 = 6 1 8. 4a = b 9. x3 = y 10. 5c = d 11. ba = 8
43. 43. IA2 Homework Homework 81 Write the logarithmic equation in exponential form: 1. log2 64 = 6 2. log10 1000 = 3 3. log27 9 = 3 2 4. log4 32 = 2 5 5. log 9 1 3 = - 2 1 6. logbc - 5 1 Homework 82 Solve for x: 1. log2x = 4 2. log5x = 2 3. log3x = -2 4. log7x = 0 5. log81x = 2 1 Solve for n: 6. log327 = n 7. log216 = n 8. log5 25 1 = n 9. logn27 = 3 10. logn49 = 2 11. logn125 = 2 3
44. 44. IA2 Homework Homework 83 Find x to the nearest tenth. 1. 2x = 7 2. 5x = 47.6 3. 1.06x = 1.14 4. 2.5x = 9.88 5. 3x = 15.6 6. 15x = 295 7. 4.5x = 1.57 Homework 84 Find x to the nearest tenth. 1. 4.08x = 2.02 2. 7x = 615 3. 4.7x = 10.2 4. 3.8x = 2.9 5. 2.75x = 3.72
45. 45. IA2 Homework Homework 85 Find x to the nearest tenth. 1. 3x = 4 2. 5x = 3.6 3. x1.5 = 15 4. 2x = 1.5 5. 4x = 21 6. x0.4 = 1.6
46. 46. IA2 Homework Homework 86 Evaluate the given expression. 1. 5P3 2. 3P1 3. 4P4 4. A child playing with blocks places the letters N, C, E, A, and D together at random. How many difference words can be made? 5. A signal is made by arranging a red, a white, a blue, and a yellow flag on a vertical pole. How many different signals can be made? Homework 87 Write out the evaluation of each given expression. 1. 8C5 2. 12C12 3. 12C0 4. 52C2 5. 26C2 6. 4C2 7. 4C3 Homework 88 Evaluate each expression using your calculator. 1. 8C3 2. 12C7 3. 6C0 4. 52C3 5. 25C2 6. 5C2 7. 5C3 Homework 89 Write the expansion of the given binomial. 1. (x + y)4 2. (x - y)7 3. (x + y)10
47. 47. IA2 Homework Homework 90 Write in simplest form the third term of the expansion. 1. (a + b)4 2. (a - b)5 Write in simplest form the fourth term of the expansion. 3. (c - d)4 Homework 91 Write the expansion of the given binomial. 1. (3a + 1)3 2. (x - 2)4 3. (1 - b)5 Write in simplest form the third term of the expansion. 4. (a - 7)6 5. (2 + y)7 Write in simplest form the fourth term of the expansion. 6. (2a - 3)5
48. 48. IA2 Homework