Algebra 1 Final Exam REVIEW June 2015

Transcription

1 Algebra 1 Final Exam REVIEW June 015 Name: Teacher: Date: Period: Your final examination will consist of 65 multiple-choice questions which will be completed on a Scantron form. The exam will include material from Chapters 7, 8, 9, 10, and 1 of your text. NOTE: School policy mandates a penalty for cheating on an exam to be a grade of ZERO for that exam. The term cheating includes "intent to cheat." NO CELL PHONES. All cell phones must be kept out of sight. If a cell phone is seen during an exam, you will receive a grade of ZERO. All calculators may be checked for inclusion of extraneous material. No papers should be placed in calculators. No information should be written on the front/back of calculators. The program portion of the graphing calculator will be checked. Any information entered there can be considered intent of cheating. Before the examination, clear your calculator of any formulas, notes or any such items, which could be perceived as "useful" or providing unfair advantage. The best solution is to RESET and clear the memory completely. The following pages provide a comprehensive review of the materials to be studied for this exam. We will take a few days of class time to review for this exam. Please feel free to stop in on your own time for further assistance. Good Luck! Mr. Brill, Ms. Buonomo-Gramata, Ms. Keeble, Ms. Marchegiano, Mr. Peklo, Ms. Prigge, Ms. Simpson, Mr. Waddon, and Ms. Winter

2 ALGEBRA I JUNE 015 Review for FINAL EXAM CHAPTER 7 TOPICS GRAPHING Inequalities, and Systems of Inequalities PROBLEMS 1. Graph the following:. Graph the following system: { 3. Graph the following system: { 1

3 ALGEBRA I JUNE 015 Review for FINAL EXAM 4. Choose the correct inequality or system of inequalities for each graph. a) b) A. B. C. D. A. B. C. D. E. c) A. y ;3 x 1 y x B. y y ;3 x 1 x C. y 3 y x ;1 x D. y y 3 x ;1 x

4 ALGEBRA I JUNE 015 Review for FINAL EXAM CHAPTER 8 TOPICS LAWS OF EXPONENTS, EXPONENTIAL FUNCTIONS : ; ( ) ; ( ) ; ; ; 1 ; if ( ) PROBLEMS 1. In simplified form, ( 3 )( ) is 3 6 b d In simplified form, ;3 ;18 is 6 b d In simplified form, ( 5 )( 3 ) is 5 5 b d In simplified form, ( ;3 3 )( ;3 ) is b. 6 5 d. 5. Find the value of: a) ( 3 ) b) c) 3 : Simplify: ( 3 )( 5 ) 3

5 ALGEBRA I JUNE 015 Review for FINAL EXAM 7. Simplify: ( 5 )(6 ) 8. Simplify: ( ) 3 9. Simplify: ( 4 5 ) 10. Simplify: 11. Simplify: ; Simplify:

6 ALGEBRA I JUNE 015 Review for FINAL EXAM 13. Simplify: ;51 ; Simplify: ( 6 ) ;3 15. Simplify: ( 4 ) CHAPTER 9 TOPICS POLYNOMIALS degree of, standard form, monomial, binomial, trinomial NAME BY DEGREE- constant, linear, quadratic, cubic, quartic ADDING, SUBTRACTING, MULTIPLYING, and DIVIDING FACTORING Solving equations by factoring PROBLEMS 1. The polynomial is a monomial b. binomial trinomial 5

7 ALGEBRA I JUNE 015 Review for FINAL EXAM. In standard form 4 3 is 3 4 b By degree, the polynomial 3 is classified as constant b. quadratic cubic d. quartic e. linear 4. By degree, the polynomial is classified as constant b. quadratic cubic d. quartic e. linear 5. Simplify: ( 4 ) ( 4 3 ) 4 b d Simplify: ( 5 3 ) ( 3 ) 5 3 b d Multiply/Simplify: ( ) 4 b. 4 4 d. 3 6

8 ALGEBRA I JUNE 015 Review for FINAL EXAM 8. Multiply/Simplify: ( ) b. d. 9. Multiply/Simplify: ( )( ) b. d. 10. Multiply/Simplify: ( )( ) b. d. 11. What is the GCF of 4 and 3 3 b. 4 3 d Factor: 3 3 ( ) b. ( ) 3 ( 3 ) d. ( ) 7

9 ALGEBRA I JUNE 015 Review for FINAL EXAM 13. What are the solutions to the equation:? and b. and and d. and 14. Factor completely: ( )( ) b. ( )( ) ( )( ) d. ( ) 15. Factor completely: 4 ( )( ) b. ( )( ) ( )( ) d. ( ) 16. Simplify: ( 3 4 ) ( 3 4 ) ( 3 4 ) 17. Simplify: ;18 :1 6 8

10 ALGEBRA I JUNE 015 Review for FINAL EXAM 18. Simplify: 8 ; Simplify: 4 ;49 : Find the degree of the monomial Find the degree of the monomial. Factor completely: 3. Factor completely: 4 9

11 ALGEBRA I JUNE 015 Review for FINAL EXAM 4. Factor completely: ( )( ) b. ( )( ) ( )( ) d. ( )( ) 5. Find each product: a) ( ) b) ( )( ) c) ( ) d) ( )( ) e) ( )( ) f) ( )( ) 6. Factor each completely: a) b) c) d) 3 e) f) g) 3 h) 10

12 ALGEBRA I JUNE 015 Review for FINAL EXAM 7. Solve each equation: a) b) c) d) 8. Find the missing value if: ( )( ) 9. Use the quadratic formula to solve for : a) b) c) d) 11

13 ALGEBRA I JUNE 015 Review for FINAL EXAM 30. Determine the point symmetrical to the intercept: 31. Find each of the following for the given functions: a) ( ) Axis of Symmetry: b) ( ) ( )( ) Axis of Symmetry: Vertex: Vertex: -intercept: -intercept: Min/Max Value: Min/Max Value: Domain: Domain: Range: Range: Increasing: Increasing: Decreasing: Decreasing: 1

14 ALGEBRA I JUNE 015 Review for FINAL EXAM 1. Simplify each radical expression: RADICALS a) b) c) d) e) f) g) 7 3 h) 8 6 i) ( )( ) j) k) 8 l) 13

15 ALGEBRA I JUNE 015 Review for FINAL EXAM COMPOUND INEQUALITIES, ABSOLUTE VALUE EQUATIONS AND INEQUALITIES 1. Solve and graph each of the following inequalities: (a) (b) (c) (d) 3. Write an inequality describing each graph below: (a) (b) o Graph each solution. (a) 1 < x < 4 (b) x < 3 or x > 4 (c) 0 y < 7.5 (d) k < 1 or k

16 ALGEBRA I JUNE 015 Review for FINAL EXAM 4. Solve and graph the following compound inequalities. (a) (b) (c) (d) and 5. Solve the following absolute value equations. (a) (b) (c) 15

17 ALGEBRA I JUNE 015 Review for FINAL EXAM CHAPTER 7: 1.. ANSWERS 4. a) D b) B c) C CHAPTER 8: 1. d. a 3. c 4. b 5. a) 4 6 b) c) ;

18 ALGEBRA I JUNE 015 Review for FINAL EXAM CHAPTER 9: 1. c. b 3. c 4. b 5. d 6. b 7. a 8. c 9. c 10. a 11. b 1. a 13. d 14. d 15. c or prime ;9 : prime 4. b 5. a) 3 b) 4 c) d) e) f) 3 6. a) ( )( ) b) ( )( ) c) ( ) d) ( )( ) e) ( )( ) f) ( 3 ) g) ( )( ) h) ( )( ) 7. a) b) c) d) a) b) c) d) 30. ( ) 31. a) Axis of Symmetry: Vertex: ( ) intercept: ( ) Max Value: Domain: Range: Increasing: Decreasing: 31. b) Axis of Symmetry: Vertex: ( ) intercept: ( ) Min Value: Domain: Range: Increasing: Decreasing: 17

19 ALGEBRA I JUNE 015 Review for FINAL EXAM RADICALS: a) b) c) d) e) f) g) h) i) j) k) l) COMPOUND INEQUALITIES, ABSOLUTE VALUE EQUATIONS AND INEQUALITIES 1. (a) (b) (c) (d). (a) (b) 3. (a) (b) (c) (d) All Reals 4. (a) (b) or

20 ALGEBRA I JUNE 015 Review for FINAL EXAM (c) or (d) and 5. (a) (b) * + (c) * + 19