Mathematics

Formula Sheet for College Algebra Final Exam Properties of Exponents p p mp npp m n mpnppmn nmmn mn m n mnmn bb b a b a baba aa aa a aaa 1.6 .5 )(.4 )(.3 .2 .1 = =??? ? ??? ? = = = = ? ? + Quadratic Formula a acbbx 2 42 ???= Circle rradius khcenter rkyhx = = =?+? ),( )()( 222 Vertex of Parabola ),( )()( 2 , 2 2 khatVertex khxaxf a bfa b +?= ??? ???? ? ?? ??? ? ?? Standard Form of Equation of Parabola phxdirectrix kphfocus khvertex hxpky pkydirectrix pkhfocus khvertex kyphx ?= += = ?=? ?= += = ?=? : ),( ),( )(4)( : ),( ),( )(4)( 2 2 Properties of Logarithms pb pb b xbiffxy p b p b b y b b = = = = == log.5 01log.4 log.3 1log.2 log.1 nm n m nm mn mpm bb b bb b b p b loglog

MATH EXAM 1 1 MATH EXAM #1 1. Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 MATH EXAM 1 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. MATH EXAM 1 3 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4 7. GRAPH THE SOLUTIONS OF THE SYSTEM

MATH EXAM 1 MATH EXAM #1 Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4 7. GRAPH THE SOLUTIONS OF THE SYSTEM 2x ? 4y > -6 3x + y > 5 8. find the solutions of the system X ? Y < 5 Y < 0 X > 0

MATH EXAM 1 THRU 4 MATH EXAM #1 Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4 7. GRAPH THE SOLUTIONS OF THE SYSTEM 2x ? 4y > -6 3x + y > 5 8. find the solutions of the system X ? Y < 5 Y < 0 X > 0

Math 1270 Exam #3 Solve using elimination a. b. c. Solve by substitution Determine whether the given ordered triple is a solution of the given system (7,1,1) Find the equation of the form y= for the parabola shown in the illustration. Points: (1,-2) , (-1,-6), (3,-6) An artist makes three types of ceramic status at a monthly cost of $655 for 180 status. The manufacturing costs for the three types are $5, $4 and $3. If the statues sell for $20, $12 and $9 respectively, how many of each type should be made to produce $ 2,100 in monthly revenue? _________________expensive _________________middle- priced _________________inexpensive