1.cdn.edl.io · Web viewIf she wanted to buy a new frilly dress that cost $175. How many hours would she have to work in order to save for the dress? Grazer sells cool Minecraft t-shirts

Name:________________________________________________ Period:_______ Date:_________________

Algebra 1A Fall Final Review

1. Solve. −3 ( x−4 )+7=4 x−9 2. Solve. (10+3 x ) 9=5 x

3. Solve. 0.5+0.2 x=1.5−0.3 x 4. Solve. 0.2 x−1.1=1.7

5. Solve. 25

x− 110

=12(4 x−12) 6. Solve. 100 x−15=0

7. Solve. 0+4 x=9 x−20 8. Honey Boo Boo works at Scooters Jungle and gets paid $8 per hour. She already has $15 in her piggy bank.

a.) How many hours of work will it take her to save a total of $95?

b.) If she wanted to buy a new frilly dress that cost $175. How many hours would she have to work in order to save for the dress?

9. Grazer sells cool Minecraft t-shirts through his You-Tube channel. He sells them for $7 each. If he wants his sales to be $875 this week, how many t-shirts does he have to sell?

10. Tom Cassell plays Call of Duty for 3 hours each day. His goal is to play Call of Duty for 100 hours in the month of January). Will he make his goal? (Hint: There are 31 days in January)

11. Use the distributive property to correctly solve 7 (2−x )=28.

12. Johnny claims that a horizontal line has no slope. Is he correct? Why or why not.

13. What is another way to refer to slope? What is the formula for the slope of a line?

14. What is the slope of a vertical line? Of a horizontal line?

15. Draw a graph of a line with:(a) a slope of 2

16. (b) a slope of -1/2.

17. Plot the points (1, 5) and (-4, -2). Then find the slope of the line that goes through these two points.

18. Plot the points (1, 5) and (4, -2). Then find the slope of the line that goes through these two points.

19. Write 5 ordered pairs that lie on a line that has a slope of 3.

20. Calculate the slope of the line that goes through the ordered pairs (0, -7), and (-2, -27).

21. Draw a line that has a negative rate of change; then write the equation of that line.

22. Draw a line that has a rate of change of zero.

23. Create a table of values that describes the graph of the line f(x) = 5x-2.

x f(x)

-2

-1

0

1

2

24. Graph y= 3x +5

25. Graph y=34

x 26. Graph 2y = -4x +6

27. Graph 3x –y = 5 28. Write a complete sentence that describes what the graph would look like.

y= 14

x−2

29. Write a complete sentence that describes what the graph would look like.y = -4x+1

30. Write a complete sentence that describes what the graph would look like.y = 4

31. Write the equation of the line in slope-intercept form.

32. Write the equation of the line in slope-intercept form.

33. Write the equation of the line in slope-intercept form.

34. Write the equation of the line in slope-intercept form.

35. Noah works at a Christmas tree lot selling trees over the holiday season. He gets paid $125 each week. He also makes an additional $2.50 for every tree he helps tie to the car.

a. Write an equation in slope intercept form that gives the amount Noah makes, y, after x trees.

35 b. How many trees did Noah tie to the car if his paycheck was $235?

36. A line passes though the points (0, -9) and (2, 0). Write an equation of the line in ….Point Slope form: (give both equations)

Slope Intercept form:

Standard form:

37. What is the slope intercept form of the line that passes though the point (-6, 5) and is

perpendicular to the graph of y=−32

(x−2).

38. Write an equation of a line that is parallel to the line containing the points (10, 7) and (8, 12)

39. Jordan is selling coupon books and raffle tickets to help raise money for his soccer team. Each coupon books for $15 each. Each raffle ticket sells for $4 each. Jordan needs to raise $270. Let x represent coupon books and y represent raffle tickets.

a. Write an equation in standard form:

39. b. If Jordan sold 30 raffle tickets, how many coupon books does he need to sell in order to raise $270 for his soccer team?

40. Write an equation of a line through the points (-3, -5) and (10, 6) in point slope form. (Write both equations)

a.Write AND graph a compound inequality that describes the push-up range for 12-year-old boys.

41. Given the two points (6, 4) and (0, -4) find the slope, then put in slope intercept form.

42. Given the equation −5 x− y+12=0, put in slope intercept form

43. Given the equation 6 x+4 y=16, identify the slope.

44. How are the graphs of x > −4 and x ≥ −4 alike and how are they different?

45. Axel sells phone cases at the mall. In order to keep his business up and running, he needs to pay a daily fee to sell his cases at his friends shop. He has graphed his weekly earnings, as shown.

a. How much does Axel pay each week in rent? (hint: look at the y-axis)

b. How many phone cases does he need to sell every week in order to break even (not make any money or earn any money)?

c. Write the equation of the given line.

46. Spartan Middle School distributes this chart to students each year to show what students must be able to do to pass the fitness test.

Age Mile Run (min:sec) Push-Ups Modified Pull-Ups

Boys Girls Boys Girls Boys Girls12 8:00–10:30 9:00–12:00 10–20 7–15 7–20 4–1313 7:30–10:00 9:00–12:00 12–25 7–15 8–22 4–13

b. Write AND graph a compound inequality that describes the mile range for 13-year old girls.

Tot

al C

ost (

$)

Wholesale Bracelets12010080604020

02 4 6 8 10 12Bracelets (dozens)

y

x

47. The solutions of a conjunction are graphed below. What is the inequality?

48. Graph the linear inequality y = 2x + 3.

49. Find an explicit formula for the arithmetic sequence 18, 24, 30, ... .

50. Find an explicit formula for f(1) = 17, d = -3

51. Find the f(3) and f(20) of the sequence in which f(1) = 12 and the arithmetic sequence is 12, 7, 2,… .

52. Interpret the y-intercept and rate of change of the graph in context .

53. Given f(x) = 7x + 2 and g(x) = 6 – 4x, find the following:a. h(x) = 2g(x)

b. h(4)

c) j(x) = f(x) – g(x)

d) j(2)

e) g(x)-f(x)

54. Solve.

55. Solve. 56. Solve.

57. Solve. 58. Solve.

59. Solve. 60. Solve by graphing.

61. Solve by graphing. 62. Sketch a graph of the linear inequality

2 x+3 y>18

63. Given the inequality graph below, write the equation of the inequality.

64. Kim took a total of 25 quizzes over the course of 5 weeks. How many weeks of school will Kim have to attend this quarter before she will have taken a total of 35 quizzes? Assume the relationship is directly proportional.

(1, -1)

(0, -3)

65. Determine the x-intercept, y-intercept and slope of

the line described by 2 x+9 y=−18 .66. Given the graph, identify the domain and range.

To study for your final:

1. Complete this packet thoroughly.2. Spend time re-reading your work and answers to this packet.3. Skim through your notes from this semester.4. Try some of your hw problems again (especially from reviews).

Answer Key1. x=4 2. x=−90

22=−45

113. x= 2

4. x=14 5. 5916

6.

7. x=4 8. a. x=10 hours b. x= 20 hours

9. 125 t shirts

10. No, he will only play 93 hours

11. x=-2 12.

No, he is not correct because a

horzontial line has a slope of

zero.

13. rate of change;

14. vertical=undefined horizontal=0 slope

15. lines will vary (positive slope)

16. Lines will vary (negative slope) 17. m=

75 18.

−73

19. answers will vary 20. m= 10 21. answers will vary (negative slope)

22. answers will vary (horizontal line)

23. 24.

25. 26. 27.

28. starts at -2 on the y-axis, then has a positive slope of up 1 and right 4

29. Starts at 1 on the y-axis and then has a negative slope of down 4 and right 1

30.

a horizontal line through the y

axis at 4

31. 32. y= - 4 33. x=4

34. y=x

35. a. y=2.50x+125

b. 44 trees

36. Point Slope

y+9=92

( x−0 )∧¿

y−0=92(x−2)

Slope Intercept

y=92

x−9

Standard9 x−2 y=18

37.

y=23

x+938. y=

−52

x+32 39. a. 15 x+4 y=270 b. 10 coupon books

40. y+5=1113

( x+3 )∧¿

y−6=1113

( x−10 )

41.

y= 43

x−4

42.y=−5 x+12

x f(x)-2 -12-1 -70 -21 32 8

43. −32

44. x >-4 is open circle & shaded to the right

is closed circle & shaded to the right

45. a. $3 b. 6 phone cases

c. y=12

x−3

46. a.

47. 48.

49. f(n)=18+6(n-1) or a(n)=18+6(n-1)

50. f(n) = 17-3(n-1) 51. f(3) = 2 f(20)=-83

52. y-int =cost of bracelet rate of change=cost per dozen

every dozen (12) bracelets, it will cost $30

53. a. 12-8x b. -20 c. 11x-4 d. 18 e. -11x+4

54. (-1, -1)

55. (-2,5)

56. (2, 4) 57. (-1,-2)

58. Infinite Number of Solutions 59. No Solution 60. (8, 4)

61.

(-8, 7)

62.

y ≤−23

x+6

63.

y>2 x−3

64.Kim will have to attend 7 weeks of school this quarter before she will have taken a total of 35 quizzes.

65. x-intercept: x= -9 or (-9,0) y-intercept: y= -2 or (0, -2)

Slope: - 29

66. {x−6 ≤ x ≤6}

{y−2≤ y ≤ 4 }