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Math 1314 - Review Multiple Choice Identify the choice that best completes the statement or answers the question. ____ ____ 1. Identify the graph of the function. A B D E 2. Determine which ordered pair is a solution of the system. A (–2, 1) ____ C B (–4, –5) C (2, 1) D (–5, 4) E (1, –2) 3. Determine which ordered pair is a solution of the system. A (–7,–3) B (–4, –6) C (6, 4) D (6, –4) E (–7, 1) Short Answer 4. Use the One-to-One Property to solve the following equation for x. - Test 4 - Ch 5 to 6 5. Rewrite the logarithmic equation in exponential form. 6. Rewrite the exponential equation in logarithmic form. 7. Identify the x-intercept of the function 8. Solve the equation 9. Rewrite the logarithm . for x using the One-to-One Property. in terms of the common logarithm (base 10). 10. Rewrite the logarithm in terms of the natural logarithm. 11. Find the exact value of without using a calculator. 12. Simplify the expression 13. Find the exact value of 14. Condense the expression 15. Condense the expression . without using a calculator. to the logarithm of a single term. to the logarithm of a single term. 16. Condense the expression to the logarithm of a single term. 17. Put the expressions in the appropriate order: . 18. Determine whether or not . is a solution to 19. Solve the system by the method of substitution. 20. Solve the system by the method of substitution. 21. Solve the system by the method of elimination. 22. Solve the system by the method of elimination. 23. Solve using any method. 24. During one performance of a local arts council's presentation of Fiddler on the Roof, the box office sold 200 tickets and collected $1372. If adult tickets sold for $8 and children's tickets sold for $6, how many of each type of ticket were sold? 25. Use back-substitution to solve the system of linear equations. Math 1314 Ch 5 to 6 Review - Test 4 - Answer Section MULTIPLE CHOICE 1. ANS: E 2. ANS: A substitution 3. ANS: D substitution PTS: 1 PTS: 1 OBJ: Identify graph of exponential function OBJ: Solve systems of equations in two variables by PTS: 1 OBJ: Solve systems of equations in two variables by SHORT ANSWER 4. ANS: PTS: 1 5. ANS: OBJ: Solve exponential equations using one-on-one property PTS: 1 6. ANS: OBJ: Express logarithmic equation in exponential form PTS: 1 7. ANS: OBJ: Express exponential equation in logarithmic form PTS: 1 8. ANS: OBJ: Identify x-intercept of logarithmic function –9 PTS: 1 9. ANS: PTS: 1 10. ANS: OBJ: Solve logarithmic equations using the one-on-one property OBJ: Convert logarithmic expression from one base to another PTS: 1 11. ANS: OBJ: Convert logarithmic expression from one base to another PTS: 1 12. ANS: OBJ: Evaluate logarithmic function using properties of logarithms –12 PTS: 1 13. ANS: OBJ: Simplify logarithmic functions 2 PTS: 1 14. ANS: OBJ: Evaluate logarithmic function using properties of logarithms PTS: 1 15. ANS: OBJ: Condense logarithmic function using the properties of logs PTS: 1 16. ANS: OBJ: Condense logarithmic function using the properties of logs PTS: 1 17. ANS: OBJ: Condense logarithmic function using the properties of logs PTS: 1 18. ANS: OBJ: Arrange logarithmic expressions in ascending order no PTS: 1 19. ANS: OBJ: Check the solution to an exponential equation (4, –3) PTS: 1 20. ANS: OBJ: Solve systems of equations in two variables by substitution (–4, 15), (5, 24) PTS: 1 21. ANS: OBJ: Solve systems of equations in two variables by substitution PTS: 1 22. ANS: OBJ: Solve systems of equations in two variables by elimination (dependent) PTS: 1 23. ANS: OBJ: Solve systems of equations in two variables by elimination PTS: 1 24. ANS: OBJ: Solve systems of equations in two variables by any algebraic method adult tickets sold = 86; children's tickets sold = 114 PTS: 1 25. ANS: PTS: 1 OBJ: Solve systems of equations in two variables OBJ: Solve systems of three equations using back-substitution