MATH 012 FINAL EXAM REVIEW ITEMS Name The items on this review are representative of the items that ou might see on our course final eam. No formul sheets are allowed and calculators are not allowed on the MATH 012 final eam. You should not use formulas or a calculator when working through the items on this review. 1 Find the SUM of the solutions of the equation. 2 + 20 = 6 2 Use the Quadratic Formula to solve the equation. n 2 = 6n 1 Choose the function that matches the graph. Factor b grouping. m 2 s m 2 t as + at 11 Divide. + 8 2 + 11 + 1 12 Perform the long division to find the remainder. + 1 2 2 + + 16 1 Simplif the comple fraction. + 2 - - + 1 6 A f( = 2 + 2 8 B f( = 2 2 8 C f( = 2 + 2 8 D f( = 2 + 2 + 8 Use the square root propert to solve the equation. ( 6 2 = 16 Find the SUM of the solutions of the quadratic equation. 2 + 2 = 0 1 Give the domain of f( = 2 + 22 2 9. 1 Give the domain of f( =. 16 Factor: 2 2 + 2 1 Determine the two factors of 20z 2 z 6. 18 Factor: 216 6 Find the product. ( 2 Find the product. (9p 1(81p 2 + 9p + 1 19 A room has an area of 6 square feet. One dimension is feet more than the other. Find the dimensions of the room. 8 Find the product. (2r (2r + 9 Factor b grouping. + 6 2 + 8 + 8 1
20 The perimeter of a rectangle is m. If the width were doubled and the length were increased b 8 m, the perimeter would be 6 m. What is the length of the rectangle? 21 Name the quadrant, if an, in which the point is located. ( 1, 2 a 28 Simplif. 2 2a a 8 29 Simplif the comple fraction. + 2 + 1 8 22 Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. (, 9 and (, 8 2 Find the slope and the -intercept of =. 2 Graph the line through (0, 6, with a slope = 1 2. 0 Solve the sstem for : 2 = 1 and + = 1 Solve the sstem for : 2 = 2 and 6 9 = 6 2 Give the solution set: 12 p = 8 Give the solution set: + = 11 Find f( when f( = 2 + 6. Find g(a 1 when g( =. 6 Solve for p: p p 8 = - Solve for : 1 2 = - 8 Simplif: 1 2 Simplif. 2 + + 6 2 + 8 + 12 26 Solve for. 9 + 6(2 = 11 2 Solve + = for. 9 Simplif: 9 2 0 Simplif: 2 2/ 12 1 Multipl. ( i( + 9i Give the answer in standard form. 2
2 Simplif. + i + 2i standard form. Give the answer in 9 Graph the linear inequalit. 2 + 8 Solve for. 12 8 Graph the solution set. - - Simplif. + 8 + 2 Simplif. Assume that all variables represent positive real numbers. 6 2 2 2 18 2 2 2 6 Find the - and -intercepts. Then graph the equation. 18 = 18 0 For f( = 2, the parabola opens. 1 Find the slope of the line. - - - - Perform the indicated operation and epress in lowest terms. + 2 2 8 - + 6 2 2 8 8 Perform the indicated operation and epress in lowest terms. + 9 12 2 Write the solution set in interval notation: < Rationalize the denominator. Factor. 81 2 126 + 9 2
Answer Ke Testname: 012FINALEXAMREVIEW 1 - (. Solve Quadratic Equation b Factoring 2 ± (8.2 Use Quadratic Formula to Solve Equation (Real Solutions C {2, } (8.1 Use Square Root Propert to Solve Equation (8.1 Solve Equation b Completing the Square - Real Solution 6 16 2 0 + 2 2 (. Square a Binomial 29p 1 (. Multipl Polnomials 8 r 2 9 (. Multipl Conjugate Binomials 9 ( + 6( 2 + 8 (.1 Factor b Grouping (s t(m 2 a (.1 Factor b Grouping 11 + + 8 (. Divide Polnomial b Binomial 12 remainder = 0 (. Divide Polnomial b Binomial 1 12 (6. Simplif Comple Fraction 1 {, } (6.1 Give the Domain of a Rational Function 1 [, (.1 Give Domain of a Radical Function 16 ( ( + 6 (.2 Factor Trinomial with Lead Coefficient not 1 or -1 1 (z and (z + 2 (.2 Factor Trinomial with Lead Coefficient not 1 or -1 18 ( 6( 2 + 6 + 6 (. Factor Sum/Difference of Cubes 19 19 feet, 2 feet (. Solve Apps b Factoring 20 1 m (. Solve Geometric Apps 21 II (2.1 Name Quadrant in which point is located 22 1 2 ; rises (2.2 Find slope given two points and state nature of slope 2 Slope ; -intercept (0, 1 (2. Find Slope and -Intercept given equation 2 - - (2.2 graph line given point and slope 2 + + 6 (6.1 Write Rational Epression in lowest terms 26 {1} (1.1 Solve Linear Equation in One Variable 2 = + (1.2 Solve Equation for 28 29 16 a a 2 + 2a + ( 6.1 Simplif Rational Epression (6. Simplif Comple Fraction 0 (.1 Solve Sstem of Linear Equations 1 No solution (.1 Solve Sstem of Linear Equations 2 {1, } (1. Solve Absolute Value Equation {1, 19} (2.6 Evaluate Function a 6 (2.6 Evaluate Function 6 { 2} (1.1 Solve Linear Equation with Fractions { 2} ( 6. Solve Rational Equation 8 26 (.1 Simplif Using Power, Product, and Quotient Rules 9 6 0 2 9 (.1 Simplif Using Power, Product, and Quotient Rules (.2 Simplif Epression Involving Rational Eponents II 1 9 + 28i (. Multipl Comple Numbers 2 21 29 + 9 29 i (. Divide Comple Numbers 0 1 2 6 8 (1. Solve Inequalit
Answer Ke Testname: 012FINALEXAMREVIEW 29 (. Simplif Sum/Difference of Radicals - Inde = 2 1 2 (. Simplif Sum/Difference of Radicals - Inde = 2 6 (6, 0; (0, 1 (2.1 Find Intercepts and Graph Equation - 0 up ( 8. Predict Direction of Parabola from Equation 1 1 ( 2.2 Find Slope of Line Given Graph 2 (, ( 1. Write Interval Notation (. Rationalize Denominator - Inde = 2 (9 2 (. Factor Perfect Square Trinomial - 8 2 ( 6.2 Add/Subtract Rational Epressions - Common Denominator ( + 1 0 2 ( 6.2 Add/Subtract Rational Epressions I 9 - - (2. Graph Linear Inequalit