ALGEBRA 2 ~ Lessons 1 - Lehi Math

ALGEBRA 2 ~ Lessons 1 – 13 Remember to write the original problem and show all of your steps!

All work should be done on a separate piece of paper.

ASSIGNMENT 1 – Arithmetic

(No calculator.) Add, subtract or multiply the integers and decimals.

1. 2. – 3. –

4. 5. – 6.

7. – 8. 9.

10. – 11. – 12. –

13. – 14. 15. –

16. – 17. 18. Do long division – show all steps. 19. 20. 21.

22. 23. 24.

Multiply or divide the fractions.

25. 26. 27.

28. 29. 30.

Add or subtract the fractions.

31. - 32. + + 33

34. + 35.

ASSIGNMENT 2 – Order of operations, sets of

numbers, distributive property (1.1, 1.2)

NEW: (No calculator.)

Book: Pg. 10: #7 – 13 odd, 19 – 25 odd, 29, 31, 39 Pg. 16: #9, 17, 21, 23, 25, 29, 31, 53, 55, 57

REVIEW: (No calculator.) Simplify:

1. 2. – 3. – 4. 5. 6. 7. 8.

9. 10. 11. 12.

13. 14. 15. + 16.

17. - +

ASSIGNMENT 3 –Solving equations and inequalities

(1.4, 1.6)

NEW: (No calculator.) Book: Pg. 31: #11, 13, 15, 19, 21, 23, 33, 35, 37, 41, 43, 47 Pg. 47: #9, 13, 15, 21, 27, 29, 35, 39 (Continued on next page…)


1. – 2. 3. 4.

5. 6. 7 8.

9. + 10. - 11. - -

AND Book: Pg. 10: #20, 22, 30, 54 Pg. 17: #20 – 26 evens, 52, 54

ASSIGNMENT 4 – Solving absolute value equations

(1.5)

NEW: (No calculator.) Book: Pg. 40: #9, 11, 19 – 37 odd AND

1. 2. 3. –

REVIEW: (No calculator.)

4. – 5. 6.

7. 8. - +

AND Book: Pg. 10: #24, 34 Pg. 17: #28, 30 Pg. 31: #6, 20, 22, 32, 36, 38, 40 Pg. 47: #6, 18, 22, 24

REVIEW FOR TEST 1: Complete worksheet

TEST 1 ~ Last chance to turn in Assignments 1-4,

Review Assignment and Extra Credit 1-4.

ASSIGNMENT 5 – Solving absolute value inequalities

(1.7) (Due the day after Test 1)

NEW: (No calculator.) Book: Pg. 52: #11, 13, 27, 31, 33, 35, 37 AND… Solve each inequality and graph the solution set.

1. 2. – 3. –

4. 5. – 6.

7. 8.

ASSIGNMENT 6 – x and y intercepts, and slope of a

line (2.2, 2.3)

NEW: (No calculator.) Book: Pg. 84: #6 – 9, 11, 19, 21, 23 State whether each equation is linear or not linear. If it is not linear, explain why:

1. – 2. 3. 4.

(Continued on next page…)

5. 6. Find the x and y intercepts of the graph and draw the graph:

7. 8. – 9. 10. 11.


12. 13. 14. + -

15. –

Name all of the sets of numbers to which each number belongs:

16. 6425 17. Simplify:

18. 7 + - 18 3 19. – 20. (10a – 4) + (8 + 4a)

Solve:

21. 22. – 23.

24. – 25. – 26. –

Solve and graph the solution set:

27. – AND Book: Pg. 53: # 30, 32, 49 – 52

ASSIGNMENT 7– Slope–intercept equations of lines

(2.3, 2.4)

NEW: (No calculator.) Book: Pg. 85: #12 – 14, 25, 27 – 29 Pg. 91: #11 – 25 odd, 33 – 41 odd


1. – 2. 3. -

State whether each equation is linear or not linear. If not linear, state why.

4. 5. Find the x and y intercepts of the graph and draw the graph:

6. 7.

AND Book: Pg. 56: #19, 21, 28, 37, 40, 46, 48, 49, 51, 65 – 67, 70

ASSIGNMENT 8 – Using a graphing calculator

NEW: Book: Pg. 6: #1 – 7 odd AND… (Continued on next page…)

Select the window on your calculator that shows the most complete graph.

1. a. Xmin = -2 b. Xmin = -10 c. Xmin = 0 Xmax = 20 Xmax = 30 Xmax = 10 Xscl = 1 Xscl = 5 Xscl = 0.5 Ymin = -10 Ymin = -5 Ymin = 0 Ymax = 30 Ymax = 50 Ymax = 200 Yscl = 4 Yscl = 5 Yscl = 25

2. a. Xmin = -5 b. Xmin = -20 c. Xmin = -25 Xmax = 50 Xmax = 20 Xmax = 25 Xscl = 5 Xscl = 2 Xscl = 5 Ymin = -5000 Ymin = -500 Ymin = -2000 Ymax = 5000 Ymax = 500 Ymax = 2000 Yscl = 500 Yscl = 50 Yscl = 200 Graph the following functions on your calculator using the standard viewing window, then draw them on your paper and label correctly. Find the y-intercept and estimate any x-intercepts.

3. – 4. 5.

Graph the following function on your calculator using the given window, then draw it on your paper and label correctly. Find the y-intercept and estimate any x-intercepts.

6. Xmin = -30 Xmax = 30 Xscl = 5 Ymin = -5000 Ymax = 5000 Yscl = 1000

REVIEW: (No calculators.)

7. Simplify:


Solve:

8. 9. 10. – Solve and graph the solution set.

11. 12. 13. State whether each equation is linear or not linear. If not linear, state why.

14. 15.

Find the x and y intercepts of the graph and draw the graph.

16. – 17. Find the slope of the line that passes through the points.

18. (-1, 0), (3, -2) 19. , (1, -9)

AND Book: Pg. 56: #14, 20, 22, 38, 57 Pg. 91: #36, 40, 42

REVIEW FOR TEST 2: Complete Worksheet

TEST 2 ~ Last chance to turn in Assignments

5-8, Review for Test 2, and Extra Credit 5-8.

ASSIGNMENT 9–Solve systems of equations by

graphing (3.1) (Due the day after Test 2)

NEW: (No Calculator.) Book: Pg. 129: #9, 11, 21 – 27 odd (Solve only ~ do not worry about the consistent/inconsistent or dependent/independent instructions.) Use calculator for the following: Book: Pg. 131: #39, 41 Pg. 125: #5, 7

ASSIGNMENT 10 – Solve systems of equations with

substitution and elimination (3.2)

NEW: (No calculator.) Book: Pg. 137: #7, 9, 13, 15, 17, 21 – 37 odd

REVIEW: (No Calculator on problems # 1-14!)

1. Simplify: –

Solve:

2. – – 3. 4. – Solve and graph the solution set:

5. 6.

Find the x and y intercepts of the graph and draw the graph:

7. – 8.


Find the slope of the line that passes through the points.

9. (5, 7), (-2, -3) 10.

Write an equation for the following lines in slope-intercept form. Show all work!

11. slope = -4 and passes through the point (3, -5) Write an equation for the following lines in slope-intercept form. Show all work! 12. passes through (1, 3) and (-3, 7)

13. passes through (-6, 1) and perpendicular to 14. passes through (-2, 5), (3, 1)

USE CALCULATOR for problems 15-17:

Graph the functions on your calculator using the standard viewing window, then draw it on your paper and label correctly. Find the y-intercept and estimate any x-intercepts.

15. – 16. – Graph the following function on your calculator using the given window, then draw it on your paper and label correctly. Find the y-intercept and estimate any x-intercepts.

17. Xmin = -5 Xmax = 5 Xscl = 1 Ymin = -15 Ymax = 30 Yscl = 5 AND Book: Pg. 130: #18 (no calculator) Pg. 125: #2, 8 (calculator)

ASSIGNMENT 11 – System of equation story

problems

NEW: (Calculators allowed.) Define 2 variables, write equations, solve by any method (substitution, elimination, graphing), and label your answers correctly. Book: Pg. 138: #43 AND 1. Two numbers total 4 and their difference is 10. Find the numbers. 2. The sum of the ages of two boys is 18. If 4 times the younger boy’s age is subtracted from 3 times the older boy’s age, the difference is 12. What are the ages of the boys? 3. Marty has a piggy bank that contains $2.25. The bank contains only quarters and dimes. There are twice as many dimes as quarters in the bank. How many of each? 4. 240 pairs of tennis shoes were sold at a shoe store in a week. One style sold for $66.95 and the other sold for $84.95. The total receipts were $17,652. How many shoes of each type were sold? 5. A total of $25,000 is invested in two funds paying 8% and 8.5% simple interest. If the yearly interest is $2060, how much is invested at each rate? 6. A total of $18,000 is invested in two funds paying 7.75% and 8.25% simple interest. If the yearly interest is $1455, how much is invested at each rate?

REVIEW: (No calculator.) Simplify.

7. - 8.

Solve.

9. – – 10. – 11.

Find the x and y intercepts of the graph and draw the graph.

12.


13. Find the slope of the line that passes through the points. (5, 4), (2, 2) Solve by graphing.

14. 15. –

Calculator section: Graph the function on your calculator using the standard viewing window, then draw it on your paper and label correctly. Find the y-intercept and estimate any x-intercepts.

16. Graph the following function on your calculator using the given window, then draw it on your paper and label correctly. Find the y-intercept and estimate any x-intercepts.

17. – Xmin = -100 Xmax = 100 Xscl = 10 Ymin = -10 Ymax = 10 Yscl = 1 AND Book: Pg. 117: #34, 35, 38, 40 (no calculator) Pg. 137: #16, 22, 28, 32 (no calculator) Pg. 125: #4 (calculator)

ASSIGNMENT 12 – Graphing inequalities (2.7, 3.4)

NEW: (No calculator.)

Book: Pg. 113: #17, 19, 21, 27 Pg. 150: #9, 11, 13, 17, 19, 21, 25 Pg. 152: self test, problem #9 (Continued on next page…)

REVIEW: (No Calculator on problems 1-6.) Solve. (Graph the inequalities.)

1. – 2. – 3.

4. Find the x and y intercepts of the graph and draw the graph: – 5. Find the slope of the line that passes through the points. (2, 3), (9, 7)

6. Solve by graphing:

–

Use Calculator: Graph the function on your calculator using the standard viewing window, then draw it on your paper and label correctly. Find the y-intercept and estimate any x-intercepts.

7. Graph the following function on your calculator using the given window, then draw it on your paper and label correctly. Find the y-intercept and estimate any x-intercepts.

8. Xmin = -5

Xmax = 5 Xscl = 1 Ymin = -7 Ymax = 7 Yscl = 1 Solve by graphing on the calculator.

9. 10.

– Define 2 variables, write equations, solve by any method (substitution, elimination, graphing), and label your answers correctly. 11. Paul has 64 coins in nickels and dimes. The money is worth $3.65. How many nickels, and how many dimes does he have? (Continued on next page…)

12. Find the length and width of a rectangular lot with a perimeter of 70 meters, if the length is 5 meters more than the width. 13. Old Macdonald raises ducks and cows. The animals have a total of 32 heads and 72 feet. How many of each animal live on the farm? AND Book: (no calculator) Pg. 117: #33, 37 Pg. 137: #26 Pg. 176: #18 – 20

REVIEW FOR TEST 3: Complete worksheet

TEST 3 ~ Last chance to turn in Assignments 9-

12, Review for Test 3, and Extra Credit 9-12.

ASSIGNMENT 13 – Linear Programming (3.5)

(Due the day after Test 3.)

NEW: Use calculator only to help find the vertices if needed: Book: Pg. 157: #5, 11, 15 – 23 odd

ANSWERS FOR ASSIGNMENTS: Check back of book for answers to book problems. Remember: this is only to check your

answers ~ all work must be shown, or no credit will be given!! (Also – we’re only

human, so there may be mistakes! Come see your teacher if you think you found one.)

Assignment 1 answers: 1. 24 2. - 39 3. 57 4. - 364 5. 9.86 6. 61.97 7. -5.53

8. 97.2 9. -17.963 10. - 85 11. - 26 12. 66 13. - 73 14. 17.216

15. 48.21921 16. – 4.183 17. -18.907 18. 74.8 19. 25 20. – 4.8

21. 6.3 22. 12 23. - 31 24. 1.5 25. 26. 27. - 6

28. 29. 30. 35 31. 32. 33. 34.

35.

Assignment 2 answers:

NEW: Check the answers for page 10 and page 16 in the back of the book. REVIEW: (packet answers) 1. 37.17 2. 4.89 3. 1.01 4. - 2.17 5. 1,458 6. - 39.2 7. 0.4125

8. 218 9. 0.73 10. 11. 12. 13. 14.

15. 16. 17.


NEW: Check the answers for page 31 and page 47 in the back of the book.

REVIEW: (packet answers)

1. 11.999 2. 0.053 3. -17.088 4. 0.73 5. 6. 7.

8. 9. 10. 11.

Page 10: 20. 33 21. 22 30. -21 54.a)

54.b) 54.c) 54.d)

Page 16: 20. 6.6; R,Q 22. 0.58; R, Q 24. -4; R, Q, Z

26. 31; R, Q, Z,W, N 52. 54.

Assignment 4 answers: NEW: Check the answers for page 40 in the back of the book

REVIEW: (packet answers)

1. 2. No solution 3. 4. -47.76 5. -0.2052

6. 7. – 8.

Page 10: 24. -27 34. 11 Page 17: 28. -39: R,Q, Z 30. 9: R,Q, Z, W, N

Page 31: 6. 20. 22. 32. 36.

38. 40.

Page 47: (check your graphs with the teacher) 6. 18. 22.

24.

Assignment 5 answers: NEW: Don’t forget to draw the graphs for each problem – check them with your teacher.

Page 52: Check answers in the back of the book.

Packet:

1. 2. 3. 4. All reals

5. 6. 7. No solution 8.


NEW: Page 84: 6. 8. Undefined slope

Packet: 1. linear 2. Linear 3. Not linear 4. Linear 5. not linear 6. Linear

For #7 – 11 draw graphs – check them with teacher before turning in your assignment.

7. x-int , y-int (0, 9) 8. x-int (2, 0), y-int (0, -2) 9. x-int (6, 0), y-int none

10. x-int (3, 0), y-int (0, 5) 11. x-int none, y-int (0, -2)

REVIEW: (packet) 12. 0.442 13. -20 14. 15.

16. R, Q, Z, W, N 17. R, I 18. 9 19. 38 20.

21. 22. 23. 24.

25. No solution 26. 27. (check graph)

Page 52: (check graphs with teacher) 30. 32. No solution 50.

52.


NEW: (Page 85) 12. 14. 28.

REVIEW: (packet) 1. – 6.48 2. 3. 4. Linear

5. Not linear 6. x-int: , y-int: 7. x-int: , y-int:

Page 56: 28. 40. 46. 48.

66. all reals 70.

Assignment 8 answers: NEW: 1. b 2. c 3. x-int: (-2, 0), (1, 0), y-int: (0, -2)

4. x-int: (0, 0), (-6, 0), y-int: (0, 0) 5. x-int: (6, 0), y-int: (0, 3)

6. x-int: (25, 0), (0, 0), y-int: (0, 0) (Check your graphs with the teacher before class.)

REVIEW: 7. -20 8. 9. 10.

11. all reals 12. 13. 14. Not linear

15. linear 16. x-int: , y-int: 17. x-int: , y-int: (

18. 19. 8

Page 56: 14. 92 20. 5.25, R, Q 22. 18, R, Q,Z,W,N 38.

Page 91: 36. 40. 42.

Assignment 9 answers: All answers can be checked in the back of the book!

Assignment 10 answers: New: Check back of book.

Review: (packet) 1. 2. 3. 4.

5. 6. 7. x-int: , y-int: (0, 7) ~ check graph.

8. x-int: , y-int: ~check graph. 9. 10.

11. 12. 13. 14.

Check graphs on #15-17 with your teacher! 15. y-int; , x-int:

16. y-int: , x-int: 17. y-int: , x-int:

Page 129: 18. (3, 2) Page 125: 2. (8, 5) 8. No solution

Assignment 11 answers: NEW: (packet)

1. The numbers are 7 and -3. 2. The older boy is 12 and the younger boy is 6.

3. The piggy bank has 5 quarters and 10 dimes.

4. 152 pairs of $66.95 shoes and 88 pairs of $84.95 shoes were sold.

5. $13,000 at 8% and $12,000 at 8.5% was invested.

6. $6,000 at 7.75% and $12,000 at 8.25% was invested.

REVIEW: (packet) 7. 8. 9 9. 10.

11. 12. x-int: (9, 0), y-int: none ~ check graph 13.

14. infinite solutions 15. (5, 3) 16. y-int: (0, 4), x-int: (-1, 0) and (2, 0) ~check graph

17. y-int: (0, -10), x-int: (-30, 0) and (30, 0) ~ check graph

Page 117: 34. 35. 38. 40.

Page 137: 16. (-5, 6) 22. (7,5) 28. (-4, 9) 32. (5, 23)

Page 125: 4. (5, 2)

Assignment 12 answers: NEW: check answers in back of book

REVIEW: (packet) 1. 2. 3.

4. x-int: , y-int: (0, 3) ~ check graph. 5. 6. (1, 2)

7. y-int: (0, 0), x-ints: (-3, 0), (0, 0), (3, 0) ~ check graph.

8. y-int: (0, 0), x-ints: (-3, 0), (0, 0), (3, 0) ~ check graph. 9. No solution

10. (6.25, -2.25) 11. Paula has 55 nickels and 9 dimes.

12. length is 20 meters, width is 15 meters. 13. 4 cows and 28 ducks

Page 137: 26. (5, -8) Page 176: 18. (9, 4) 19. (-6, 2) 20. (-1, 2)

Assignment 13 answers: All answers can be checked in the back of the book!

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ALGEBRA 2 ~ Lessons 1 - Lehi Math