FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name


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1 FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name 1) Find the SUM of the solutions of the equation = 16 Use the quadratic formula to solve the equation. (All solutions are real numbers.) 2) 2 = 3  Choose the equation that matches the graph. 3) 8) ( + 7)2 9) ( 2)( ) ) (3a + c)(3a  c) Factor b grouping. 11) ) 32r2 + 12r  8r  3 Perform the indicated operation. 13) A) f() = B) f() = C)f() = D) f() = ) Perform the long division to find the remainder Simplif the comple fraction. 1) Use the square root propert to solve the equation. ) 2 = 12 ) (  17)2 = 81 6) Find the SUM of the solutions of the following quadratic equation Find the product. 7) (a  8b)(7a  6b) Find the domain of the function. 16) f() = 717) f() = 20  Factor the trinomial. Factor. 18) ) 6z2 + z  6 1
2 Factor completel. 20) One of the factors of u23u  0 is Solve the equation. 30) 823 = 9 Factor completel. 21) Factor completel. 22) ) 8k2  k  7 = 0 Epress the rational epression in lowest terms. 32) Factor completel. 23) 333 Solve the problem. 2) The product of two consecutive negative integers is 89 more than their sum. Find the larger integer. 2) The length of a rectangular storage room is 3 feet longer than its width. If the area of the room is 0 square feet, find its dimensions. Give the quadrant in which the point is located. 26) (, 11) 27) Find the slope of the line through (, ) and (2, 6). Find the slope and the intercept of the line. 28) = 8 Graph the following line. 29) Through (0, 6), m = 1 Solve the equation. 33) (2z  ) = 7(z + 3) Solve the equation for the specified variable. 3) 9k + ar = r  6 for r Solve the formula for the specified variable. ne 3) I = nr + R for n 36) Simplif b reducing to lowest terms: Perform the indicated operation and simplif. 37) 6p  6 6p2 p 8p  8 Simplif the comple fraction. 38) Simplif. 39) s s r r Solve b sstem to find the value of the solution. 0) = = 8 2
3 Solve the absolute value equation or indicate that the equation has no solution. 3) 6c + 77c ) = 13 Evaluate the function. 2) f() =  8 Find f(1) 3) f() = Find f() Solve the equation. Be sure to check our proposed solution b substituting it for the variable in the given equation. ) 83 = 2 + Solve the equation. ) = 6) = 7 Simplif. Assume that all variables represent positive real numbers. ) ) ) Find the  and intercepts for the equation. Then graph the equation. 7) 2  = Epress using positive eponents. Then simplif ) Simplif the epression. Write our answer with onl positive eponents. 8) ) Simplif: /2 Perform the indicated operation. Give the result in standard form. 0) 6 + i  6i  Perform the indicated operation and simplif. 8) ) Perform the indicated operation ) 2 + 3i + 6i Solve and graph. 2) 7z + 1 > 6z + 7 3
4 Graph the linear inequalit. 60) Find the slope of the line. 6) ) ) Find the quotient when 6m2 + 17m  28 is divided b m +. 63) For f() = , the parabola opens. A) To the left B) Upward C) To the right D) Downward
5 Answer Ke 1) 3 2) {2 + 7, 27} (9.2) Use Quadratic Formula to Solve Equation (Real Soln) 3) D (9.6) Match Equation with Graph ) 2 3, 2 3 (9.1) Use Square Root Propert to Solve Equation ) {8, 26} (9.1) Use Square Root Propert to Solve Equation 6) 9 7) 3a2 + 26ab + 8b2 (.) Multipl Two Binomials 8) (.) Square Binomial 9) 38 (0.) Multipl Polnomials ) 9a22c2 (.) Multipl Conjugate Binomials 11) ( + )(2 + 6) (6.1) Factor b Grouping 12) (8r + 3)(r  ) (6.1) Factor b Grouping 13) + 2 (6.) Divide b Binomial 1) 6 1) 36 (6.3) Simplif Comple Fraction 16) (, ) or (, ) (2.3) Find the Domain of a Function 17) (, 20] (2.3) Find the Domain of a Function 18) ( + 9)(  ) (.6) Factor Trinomial with Lead Coefficient +/ 1 19) (2z + 3)(3z  2) (.6) Factor Trinomial with Lead Coefficient > 1 20) (u  8) (.6) Factor Trinomial with Lead Coefficient +/ 1 21) ( + 2)(6 + ) (.) Factor b Grouping 22) 3(  2)( + ) (.6) Factor Trinomial with Common Factor
6 Answer Ke 23) (  7)( ) (.7) Factor Sum or Difference of Cubes 2) 9 (.8) a: Solve Apps: Numbers 2) feet b 8 feet (1.) Solve Problems Modeled b Quadratic Equations 26) Quadrant IV (3.1) Name the Quadrant in Which Point is Located 27) 1 3 (3.2) Calculate Slope 28) Slope 1 ; intercept (0, 1) 2 29) (3.3) Find Slope and Intercept from Standard Form (3.2) Graph Line Given Point and Slope 30) = 3 ± i (8.2) Solve B Quadratic Formula (Comple) 31)  1 8, 7 (.9) Solve;Zero Factor Propert 32) (6.1) Reduce Rational Epression 33) 37 (.3) c: Remove Parentheses, Collect Terms, and Solve 3) r = 3) n = 9k  6 a  1 or r = 9k a (2.2) Solve Equation for Specified Variable IR Ir  E (2.2) Solve Formula for Specified Variable 6
7 Answer Ke 36) 37) p 2 (6.1) Multiplication and Division of Rational Epressions 38) 36 s (6.3) Simplif Comple Fraction 39) 2  r r (6.3) Simplif Comple Fraction (Complicated) 0) No solution (.1) Solve Linear Sstem b Elimination Method 1) { 3 2, 1 6 } (1.6) Solve Equations Involving Absolute Value 2) 9 (7.1) Use f() Notation 3) (7.1) Use f() Notation ) 1 Solve Linear Equations ) {60} (2.1) Solve Linear Equation Having Fractions 6) {2} (6.6) Solve Rational Equation 7) 27 (12.1) f: Change Negative Eponent to Positive 8) 613 (.1) Simplif Using Product Rule 9) (0.3) Understand and Use Rational Eponents 0) i (7.6) Divide Comple Numbers 1) i (7.6) Divide Comple Numbers 2) (6, ) (2.) Solve Inequal: Graph & Give Interval Notation 7
8 Answer Ke 3) (, 6] (2.) Solve Inequal: Graph & Give Interval Notation ) (7.3) Simplif Sum/Diff of Radicals (Inde = 2) ) 9 6 (7.3) Simplif Sum/Diff of Radicals (Inde = 2) 6) 6 2 (7.3) Simplif Sum/Diff of Radicals (Inde = 2) 7) (2, 0), (0, 1) ) 9) 60)  (3.1) Find Intercepts and Graph (  )( + )( + 1) (6.2) Add or Subtract Rational Epressions (3.) Graph Linear Inequalit 8
9 Answer Ke 61) (3.) Graph Linear Inequalit 62) 6m  7 (6.) Divide b Binomial 63) B (8.) Determine How Parabola Opens 6) 2 (3.2) Find Slope Given Graph of Line 9
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