ALGEBRA 2 PRACTICE FINAL EXAM

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1 ALGEBRA 2 PRACTICE FINAL EXAM 1) Write the slope-intercept form of the equation of the line through the point (-3, ( -5) with slope. 2) Write the slope-intercept form of the equation of the line through the point (1, -1) with slope m. A) = A) =+ B) = B) = C) = D) = C) = D) =++ 3) Which equation contains the points (4, 3) and (-1, ( 0)? 4) Which pair of points are on the line =? A) = + B) = + C) = + D) = + A) (0, -3) and (1, -2) B) (-1, -5) and (1, -1) C) (2, 3) and (4, 7) D), and, 5) Which of the following is a solution to the inequality ( )>? 6) Solve the inequality: ( +) A) = B) = A) B) C) = D) = C) D)

2 7) Which of the following graphs represents the solution to the inequality > ( )? A) B) C) D) 8) Which of the following inequalities has the solution x > 1? A) >( ) B) ( +)> C) ++> D) None of the above. For #9 11, Solve each equation. 9) (+)( )= 10) (+)= A) {8, -2} B) {1, -7} A) {-3, { -5} B) {5, 3} C) {-16, { -9} D) {-8, { 2} C) {8,, 0} D) {0, -8} 11) = A) C),, B) {2, -7} D),

3 12) Which of the following is NOT a solution to the equation =? 13) A rectangle with length 3 cm and width cm has an area of. What value might have? A) 5 B) -8 A) -1 B) 1 C) 10 D) None of these are solutions. C) D) Both A and C 14) Identify the complex number from the graph. 15) In which quadrant does the complex number + lie? A) Quadrant I B) Quadrant II C) Quadrant III D) Quadrant IV A) + B) C) D)

4 For #16-18, 18, simplify the complex expression. 16) () ( +) A) + B) C) + D) 17) ( )+( +)) 18) (+)(+) A) B) + A) + B) C) D) + C) + D) + 19) Which of the following is a factor of ()= +? 20) Which of the following is NOT a factor of ()=? A) ( ) A) ( ) B) (+) B) (+) C) ( ) C) ( ++) D) (+) D) All of the above ARE factors of ()=

5 21)Let ()= + and ()=. Find ( )(). 22) Let ()= and ()=+. Find ( )( ). A) + A) + B) ++ B) + + C) + C) + + D) + D) + 23) Let ()= ++ (+)()=+. Which of the following is true? 24) Let ()= and ()=+.. Find ( )( ). A) ()= ++ A) 6 B) B) ()= ++ C) 90 D) 14 C) ()= (+) D) ()= ++ 25) Find the inverse of the function ()= +. 26) What is the equation of the line of reflection for inverse functions? A) ()=(+) A) = B) ()=(+) B) = C) ()= + C) = D) ()= D) =( )

6 27) Simplify: 28) Simplify: A) B) A) A) B) C) D) C) D) 29) Simplify: 30) Simplify: A) C) B) D) A) C) A) B) B) C) D) 31) Rewrite in exponential form. 32) Rewrite in radical form. A) C) B) A) B) C) D) D)

7 For #33-36, 36, solve each equation. Remember to check! 33) = 34) =(+) + A) {10, -7} B) {7} A) {0.123} B) {6} C) {10, 7} D) {} C) {10.5} D) {0.2} 35) = 36) =( ) A) B) {10,000} A) No solution. B) {2, 3} C) {} D) {} C) {2} D) {3} For #37-38, 38, write the exponential equation through the given points. 37) (0, -2) and (1, -12) 38) (1, 25) and (3, 1) A) = () A) =() B) =( ) B) =.() C) = C) = D) = () D) =

8 For #39-46, solve the equation. Round to three decimal places when needed. 39) = 40) = A) {} B) {.} A) No solution. B) {8} C) { } D) {.} C) {-1.2} { D) {- { 4} 41) = 42).= A) B). A). B). C). D). C). D). 43) ( )= 44) ()+= A). B) A). B). C) D) No solution. C). D). 45) + = 46) ( )= A). B) A). B). C) D). C). D)

9 For #47-52,, let ()=. 47) What are the points of discontinuity of ()? 48) Which of the following is a hole in the graph of ()? A) = ; = B) =; = A) = B) = C) = ; = D) =; = C) = D) None of these. 49) Which of the following is a vertical asymptote of ()? 50) Which of the following is the domain of ()? A) = B) = C) = D) = A) =; = C) R except = B) R except = D) None of these. 51) Which of the following is the simplified form of ()? A) B) 52) Which of the following would be a restriction on the simplified form of ()? A) = B) = C) D) None of these. C) = D) None of these.

10 For #53-54, 54, simplify each expression. 53) 54) A) ()() A) B) ()() B) C) ()() D) ()() C) D) 55) What is the probability that with a pair of six-sided sided dice you will roll a sum of 3? 56) What is the standard deviation of the data set {1, 2, 3, 4, 5}? A) B) A) B) 3 C) D) C) 2 D) 1 57) Which of the following is true about the data set {1, 3, 5, 1, 3, 3, 2}? A) The mean is 3. B) The median is the same as the mode. C) The median is 1. D) The median is the same as the mean.

11 ANSWERS 1) B 2) B 3) B 4) D 5) D 6) A 7) A 8) A 9) B 10) A 11) C 12) C 13) A 14) B 15) D 16) C 17) D 18) A 19) B 20) B 21) B 22) D 23) C 24) A 25) B 26) C 27) D 28) C 29) D 30) A 31) A 32) C 33) D 34) B 35) D 36) B 37) A 38) D 39) D 40) D 41) C 42) A 43) A 44) A 45) B 46) A 47) D 48) A 49) C 50) D 51) B 52) A 53) A 54) C 55) D 56) A 57) B

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