Algebra I Final Exam Review 2016 List of Topics Covered

Size: px

Start display at page:

Download "Algebra I Final Exam Review 2016 List of Topics Covered"

Eustacia Malone
5 years ago
Views:

1 Algebra I Final Exam Review 016 List of Topics Covered Know all vocabular, pa attention to the highlighted words in the text, and understand the various tpes of directions in each of the sections of the textbook. Practice with old homework problems, worksheets, and quiz, quest and test problems. DO NOT ONLY stud this review packet. DO NOT WAIT until the last night to review. Be prepared to work with integers, fractions and decimals. Sstems 5.6 Graphing Linear Inequalities in Two Variables 6.5 Appling Sstems of Linear Equations 6.6 Sstem of Linear Inequalities Exponents & Exponential Functions 7.1 Multiplication Properties of Exponents 7. Division Properties of Exponents 7.3 Rational Exponents 7. Scientific Notation 7.5 Exponential Functions 3.5 Arithmetic Sequences 7.7 Geometric Sequences 7.8 Recursive Formula Polnomials: Factoring 8.1 Adding & Subtracting Polnomials 8. Multipling a Polnomial b a Monomial 8.3 Multipling Polnomials 8. Special Products 8.5 Factoring Polnomials b GCF & Grouping 8.6/8.7 Factoring Polnomials b Product/Sum 8.8/8.9 Factoring Polnomials involving Difference of Squares & Perfect Squares Quadratic Functions 9.1 Graphing Quadratics using the vertex & x/ table 9. Solving Quadratic Equations b Graphing (using the x-intercepts & vertex) 8.8 Solving Quadratic Equations b the Square Root Method 8.5/8.6/8.7 Solving Quadratic Equations b Factoring (Zero-Product Propert) 9.5 Solving Quadratic Equations b Using the Quadratic Formula 9.5 Discriminant Radicals 10. Simplifing Radicals Expressions 10.3 Operations with Radical Expressions 10. Radical Equations Rational Expressions 11.3 Simplifing Rational Expressions 11. Multipling & Dividing Rational Expressions 11.6 Adding & Subtracting Rational Expressions 11.8 Rational Equations Exam Da Information All Algebra I and Algebra I Honors students will take the exam during periods 1, and 3 in the cafeteria on Tuesda, June 1 th. You will be assigned seats and will report to the cafeteria after homeroom. You should bring pencils and a calculator with ou, no books needed. Your teachers will be given a list of students participating in the final exam and ou will be excused from their class that da. You should however speak to our teachers to see what ou ma need to accomplish or continue working on from prior class time.

2 Sstems Algebra 1 Enriched Final Exam Review The sum of two numbers is 8. Their difference is. Write a sstem of equations that describes this situation. Solve b elimination to find the two numbers.. An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid the admission fees for his six nephews and rented five pairs of ice skates. He was charged $3.00. Juanita paid the admission fees for her seven grandchildren and rented five pairs of ice skates. She was charged $35.5. What is the admission fee? What is the rental fee for a pair of skates? 3. You decide to market our own custom computer software. You must invest $3,55 for computer hardware, and spend $.90 to bu and package each disk. If each program sells for $13.75, how man copies must ou sell to break even?. Graph the inequalit on a coordinate plane. x Graph the inequalit on a coordinate plane. 3x Write the linear inequalit shown in the graph to the right. O x 7. You have $7 to spend at the music store. Each cassette tape costs $5 and each CD costs $10. Write and graph a linear inequalit that represents this situation. Let x represent the number of tapes and the number of CDs. 8. Find a solution of the sstem of linear inequalities. 3x 1 5x 7 9. Solve the sstem of linear inequalities b graphing. x x Write a sstem of inequalities for the graph to the right. O x

3 Exponents & Exponential Functions Simplif each expression Evaluate for x = 3 and =. Write the number in scientific notation. 9. 8,670,000, Write the number in standard notation Simplif the expression. Write the answer using scientific notation Evaluate the function rule for the given value. for x = 5 x 37. Graph a. Find the 15th term of the arithmetic sequence if = 3 and d =. b. Write an equation for the nth term of the geometric sequence 3,, 19,. Find the ninth term of this sequence. 39. For each recursive formula, write an explicit formula. For each explicit formula, write a recursive formula. a. = 38, = 17, n b. = 50

4 Polnomials: Factoring 0. Write the polnomial in standard form. Then name the polnomial based on its degree and number of terms. 11x 8x + 6x 1. Find the degree of the monomial. 6x 8 5. Name the polnomial based on its degree and number of terms. 6x 3 9x Find the perimeter of the figure to the right. 3x + 6x Simplif the difference.. ( 7x 5x + 5) ( 7x 5 9x) 5. (w w 8) (w + 3w 6) 5x not to scale Simplif the product. 6. n(n + 3n + ) 7. 7a 3 (5a 6 b 3 ) Factor the polnomial c 3 d + 9c d 50. Find the GCF of the terms of the polnomial. 8x 6 + 3x The Johnsons want to cover their backard with new grass. Their backard is rectangular, with a length of 3x 5 feet and a width of x 10 feet. However, their rectangular swimming pool, along with its surrounding patio, has dimensions of x + 8 b x feet. What is the area of the region of the ard that the want to cover with new grass? Simplif. 5. (3x 7)(3x 5) (x 6) 55. (n + n + )(n 5) 56. (m 5)(m + 5) 57. Find the area of the UNSHADED region. Write our answer in standard form. x x + 5

5 58. Find the volume of the cube. Factor the expression. x w + 18w k + kf f 61. x 10x d + d j + j r x g 3 + 8g 15g k 3 0k + 75k x 9x 3 36x + 5x Quadratic Functions 71. Identif the vertex of the graph to the right. Tell whether it is a minimum or maximum x Order the group of quadratic functions from widest to narrowest graph.,, 73. Find the equation of the axis of smmetr and the coordinates of the vertex of the graph of the function. 7. Graph. Label the axis of smmetr and vertex.

6 Solve the equation using square roots = Find the value of x. If necessar, round to the nearest tenth. x A = 53 sq. in. 78. Solve the equation using the zero-product propert. x Solve the equation b factoring Use the quadratic formula to solve the equation. Write our answers in simplest radical form Find the number of real number solutions for the equation Radicals Simplif A square garden plot has an area of ft. a. Find the length of each side in simplest radical form. b. Calculate the length of each side to the nearest tenth of a foot. 93. Solve the equation. Check our solution. t 3 = 0

7 Rationals Simplif the rational expression m 97. Find the product. m Find the quotient. x 8x x x x Find each sum or difference. Your answer should be in simplest form. a. b Solve each equation. State an extraneous solutions. a. = b. = 1 c. + = 3

8 CDs Algebra 1 Enriched Final Exam Review: ANSWERS 1. x + = 8 x = 53 and 9. admission fee: $3.5 skate rental fee: $ copies. O x 5. O x x Tapes

8. (, 17) 9. O x 10. 11. 1 1. 13. 1. 15. 16. 17. 18. 19. 0. 1.. 3.. 5. 6. 7. 8 0 1 9. 30. 31. 90,000 3. 0.0907 33. 1 3. 35. 6.5 10 18 36. 37. 3 38. a. 5 b. 3(-8) n - 1; 50,331,68 39. a. a n = -17n + 55 b.

9 8. (, 17) 9. O x , a. 5 b. 3(-8) n - 1; 50,331, a. a n = -17n + 55 b. a 1 = 50, a n = 0.75 a n - 1, n 0. 5x 8x + ; quadratic trinomial cubic trinomial 3. 1x +. x + x w 7w 6. n 3 + 6n + 8n 7. 35a 9 1a 3 b 3 8. x(x + x + ) 9. 9c 3 d (6d + c) 50. 8x x 56x + 66 ft 5. 9x 36x x x n 3 + 6n n m x + 5 square units 58. 6x 3 0x + 300x 15 cubic units 59. (w + 7)(w + 11) 60. (k + f)(k f) 61. (x 6)(x ) 6. (6d 1)(d + 1) 63. (5x )(x + 3) 6. 3( 7)(6 + 7)

10 65. (j + 3) 66. (r 7)(r + 7) 67. (x + 9)(x 9) 68. (g 5)(3g + ) 69. 5(k + 3)(5k ) 70. 3x(x 6)(x 3) 71. (1, 1); minimum 7.,, 73. ; vertex: 7. Axis of smmetr: Vertex: x = 76. no real number solutions in n = 0 or n = z = 3 or z = x , real solutions 86. no real solutions a. 6 ft; b..9 ft 93. t = (t = - is extraneous) m m m a. m 3 m x 1 x 9 b a. x = b. x = -, c. =, is extraneous

REVIEW PACKET FOR END OF COURSE EXAM

Math H REVIEW PACKET FOR END OF COURSE EXAM DO NOT WRITE ON PACKET! Do on binder paper, show support work. On this packet leave all fractional answers in improper fractional form (ecept where appropriate