Name ...
Chapter 3 Test Review Name___________________________________
Algebra I CP Hr_______
Solve the equation.
1. [pic] 2. [pic] 3. [pic]
4. [pic] 5. [pic] 6. [pic]
7. [pic] 8. [pic] 9. [pic]
10. [pic] 11. [pic] 12. [pic]
13. [pic] 14. [pic] 15. [pic]
16. [pic] 17. [pic] 18. [pic]
19. [pic] 20. [pic] 21. [pic]
Solve the proportion.
22. [pic] 23. [pic] 24. [pic]
25. [pic] 26. [pic] 27. [pic]
Use either a proportion or a percent equation to solve.
28. What percent of 84 is 21? 29. What percent of 124 is 93?
30. What number is 15% of 64? 31. What number is 44% of 24.5?
32. 90 is what percent of 250? 33. 79.8 is what percent of 95?
Write the equation so that y is a function of x.
34. [pic] 35. [pic] 36. [pic]
Solve the literal equation for x.
37. ax – by = c 38. a(x – b) = c 39. ax + b = cx + d
40. The ticket prices at a movie theater are shown in the table. A family purchases tickets for 2 adults and 3 children, and the family purchases 3 boxes of popcorn of the same size. The family spent a total of $40.25. How much did each box of popcorn cost?
|Ticket |Price |
|Adults |$8.50 |
|Children |$5.50 |
41. You are making a scale drawing of your classroom using the scale 1 inch : 3 feet. The floor of your classroom is a rectangle with a length of 24 feet and a width of 18 feet. What should the length and width of the floor in your drawing be?
42. A survey asks high school seniors whether they would be willing to pay $5 for their yearbook. Out of the 225 seniors surveyed, 198 said “yes”. What percent of the seniors said “yes”?
43. There were 7500 tickets sold for a concert, 20% of which were general admission tickets. How many general admission tickets were sold?
44. A student can type 65 words in 2 minutes. How many words can the student type in 20 minutes?
45. The label on a can of paint states that one gallon of the paint will cover 560 square feet. How many gallons of that paint are needed to cover 1400 square feet?
46. A pet store sells aquariums that are rectangular prisms. The volume V of an aquarium is given by the formula [pic] where [pic]is the length, [pic]is the width, and [pic]is the height.
a) Solve the formula for h.
b) Use the rewritten formula to find the height of an aquarium that has a length of 30 inches, a width of 13 inches and a volume of 5850 cubic inches.
Use the following information for #47-48. Suppose that your grade in math class is calculated in the following way: 50% of your grade is from your test average, 30% of your grade comes from your quiz average, and 20% of your grade comes from homework.
47. Calculate your grade if you scored the following:
Tests: 78/92
Quizzes: 56/75
Homework 83/90
48. The end of the marking period is coming up and you want to get a 93% in the class. You have an average of 87% on quizzes and 94% on homework. What must your test average be in order to get 93%?
Use the following information for #49-50. Your semester grades are calculated using your Q1, Q2, and Final Exam grades. Q1 and Q2 are each worth 40% of your overall grade and final exams are worth 20% of your overall grade.
49. If you earn an 80% for Q1, a 85% for Q2, and a 79% on your final exam, then what will your overall semester grade be on your transcript?
50. You want to know what you need to get on your final exam to get a 90% in the class. Your Q1 grade is a 92% and your Q2 grade is an 81%. What must you get on your final to get a 90%?
51. COLLEGE GPA: Colleges generally use the following values for each letter grade:
A = 4.0 B = 3.0 C = 2.0 D = 1.0 E = 0.0
Chris has earned the following grades at Saginaw Valley State University. Calculate his GPA.
|Course |Credits |Grade |Points Earned |
|Biology |2 |B | |
|Biology Lab |1 |A | |
|Calculus |4 |A | |
|American Literature |3 |C | |
|Political Science |3 |D | |
Chris’ GPA:________________________
Answers to Chapter 3 Test Review
Algebra 1 CP
1. -24 2. -4 3. 7 4. 54 5. 2 6. 8 7. 36 8. 260
9. 0 10. -2 11. 5 12. 8 13. No sol. 14. 7 15. 1 16. 9
17. 14 18. 13 19. -1 20. Infinite sol 21. [pic] 22. 12 23. 5 24. -6
25. 8 26. -4 27. 12 28. 25% 29. 75% 30. 9.6 31. 10.78 32. 36%
33. 84% 34. y = -8x + 14 35. y = 3x + 6 36. y = -2x + 13 37. [pic] 38. [pic]
39. [pic] 40. $2.25 41. l = 8 in, w = 6 in 42. 88% 43. 1500 tickets 44. 650 words
45. 2.5 gal 46a) [pic] 46b) 15 in 47. 83% 48. 96% 49. 82% 50. 104%
51. 2.69
Answers to Chapter 3 Test Review
Algebra 1 CP
1. -24 2. -4 3. 7 4. 54 5. 2 6. 8 7. 36 8. 260
9. 0 10. -2 11. 5 12. 8 13. No sol. 14. 7 15. 1 16. 9
17. 14 18. 13 19. -1 20. Infinite sol 21. [pic] 22. 12 23. 5 24. -6
25. 8 26. -4 27. 12 28. 25% 29. 75% 30. 9.6 31. 10.78 32. 36%
33. 84% 34. y = -8x + 14 35. y = 3x + 6 36. y = -2x + 13 37. [pic] 38. [pic]
39. [pic] 40. $2.25 41. l = 8 in, w = 6 in 42. 88% 43. 1500 tickets 44. 650 words
45. 2.5 gal 46a) [pic] 46b) 15 in 47. 83% 48. 96% 49. 82% 50. 104%
51. 2.69
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