Math 084 Spring 2014 Exam 3 (Final) Preperation Ch 4 et al v01 Dressler. Name

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1 Math 0 Spring 01 Eam 3 (Final) Preperation Ch et al v01 Dressler Name Determine whether the ordered pair is a solution of the sstem. 1) (-3, ) + = 3 - = -9 Solve the sstem b graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to epress the solution set. 9) - = 3 = ) (, 1) + = 7 - = 3) (, 1) + = 9 + = ) (-, -3) 3 + = = -17 ) - = 3 3 = ) (-, -) + = = 1 ) (, -) + = = ) (-, -) + = 1 - = 11 ) (-3, -) + = - - = 1 of

2 11) - = = + 1) + = + = ) = - + = 1) = - + = ) + = 1 + = 0 1) 3 + = = of

3 Solve the sstem b the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to epress the solution set. 17) + = -3 = - Solve the sstem b the best method. Use set notation to epress the solution set. ) + = + = 11 1) + = 9 = - 7) + = + = 19) + = = ) + 7 = + 7 = 11 0) = = - 9) + 3 = + 3 = 1) - 3 = + = 30) = = 13 Solve the sstem b the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to epress the solution set. ) + = - - = 9 31) 3) - = -3 - = -1-1 = - + = - 3) + = - - = - 33) 9 - = = - ) - 7 = = -9 3) 3 + = = 11 ) + = = 3 3) + = 7 + = 13 3 of

4 Solve the problem. 3) Jamil alwas throws loose change into a pencil holder on his desk and takes it out ever two weeks. This time it is all nickels and dimes. There are times as man dimes as nickels, and the value of the dimes is $3.7 more than the value of the nickels. How man nickels and dimes does Jamil have? 1) Yvette has up to $00 to invest and has chosen to put her mone into telecommunications and pharmaceuticals. The telecommunications investment is to be no more than times the pharmaceuticals investment. Write a sstem of inequalities to describe the situation. Let = amount to be invested in telecommunications and = amount to be invested in pharmaceuticals. 37) Jamil alwas throws loose change into a pencil holder on his desk and takes it out ever two weeks. This time it is all nickels and dimes. There are times as man dimes as nickels, and the value of the dimes is $1.7 more than the value of the nickels. How man nickels and dimes does Jamil have? Solve. ) A bank loaned out $,000, part of it at the rate of 11% per ear and the rest at a rate of 7% per ear. If the interest received was $30, how much was loaned at 11%? 3) Jamil alwas throws loose change into a pencil holder on his desk and takes it out ever two weeks. This time it is all nickels and dimes. There are times as man dimes as nickels, and the value of the dimes is $. more than the value of the nickels. How man nickels and dimes does Jamil have? 39) Yvette has up to $7000 to invest and has chosen to put her mone into telecommunications and pharmaceuticals. The telecommunications investment is to be no more than times the pharmaceuticals investment. Write a sstem of inequalities to describe the situation. Let = amount to be invested in telecommunications and = amount to be invested in pharmaceuticals. 3) A bank loaned out $,000, part of it at the rate of 9% per ear and the rest at a rate of % per ear. If the interest received was $070, how much was loaned at 9%? ) A bank loaned out $7,000, part of it at the rate of 11% per ear and the rest at a rate of % per ear. If the interest received was $90, how much was loaned at 11%? ) A bank loaned out $,000, part of it at the rate of 9% per ear and the rest at a rate of % per ear. If the interest received was $190, how much was loaned at 9%? 0) Yvette has up to $000 to invest and has chosen to put her mone into telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 3 times the pharmaceuticals investment. Write a sstem of inequalities to describe the situation. Let = amount to be invested in telecommunications and = amount to be invested in pharmaceuticals. of

5 Graph the solution set of the sstem of linear inequalities. If the sstem has no solutions, state this. ) + > - - 9) + > ) + > ) + > ) + > ) + > of

6 Use the order of operations to simplif the epression. ) - [ - ( - 11)] + ( 1-3 )3 Find the volume of the figure. Where applicable, epress answers in terms of π. 3) 3) 3 - [ - ( - )] + ( - )3 d ) - [ 9 - ( - 11)] + ( 1-3 )3 7 d 13 d Solve the equation. ) 1-3 = ) in. ) 1-3 = in. 1 in. 7) 1-3 = ) ) 3 - = ft ft 9) - = 19 0 ) 0) 3 + = 11 ft ft 1) 1-3 = 3 ) = 19 of

7 Find the slope of the line passing through the pair of points or state that the slope is undefined. 7) (7, 1) and (, -) ) (, ) and (-3, -) Find the slope of the line, or state that the slope is undefined. 77) 9) (-1, -7) and (, -3) ) (-, -19) and (-, -1) - 71) (1, -1) and (11, ) 7) (-1, 1) and (-9, ) 7) Find the point-slope form of the equation of the line satisfing the given conditions and use this to write the slope-intercept form of the equation. 73) Slope =, passing through (3, ) ) Slope = 3, passing through (, ) 79) 7) Slope = -3, passing through (3, 3) 7) Slope = -, passing through (3, ) of

8 0) 3) ) ) ) ) of

9 Answer Ke Testname: E03PREP_CH_ETAL_V01 1) Yes ) Yes 3) Yes ) Yes ) Yes ) No 7) No ) No 9) infinitel man solutions; {(, ) - = 3} or {(, ) = 3 + 1} ) infinitel man solutions; {(, ) - = 3} or {(, ) 3 = 1 + 9} 11) infinitel man solutions; {(, ) - = } or {(, ) = + } 1) no solution; 13) infinitel man solutions; {(, ) + = } or {(, ) 1 + = 0} 1) infinitel man solutions; {(, ) + = } or {(, ) + = } 1) no solution; 1) infinitel man solutions; {(, ) 3 + = 9} or {(, ) = 7} 17) {(3, -)} 1) {(-3, 1)} 19) {(-, 0)} 0) {(7, 0)} 1) no solution; ) {(, -7)} 3) {(-3, 1)} ) {(, -3)} ) {(-, 1)} ) no solution; 7) no solution; ) no solution; 9) no solution; 30) {(-, )} 31) {(7, )} 3) {(, )} 33) {(-1, -)} 3) no solution; 3) no solution; 3) nickels and 0 dimes 37) nickels and 0 dimes 3) 7 nickels and dimes 39) ) ) of

10 Answer Ke Testname: E03PREP_CH_ETAL_V01 ) $,000 3) $3,000 ) $9,000 ) $31,000 ) ) ) of

11 Answer Ke Testname: E03PREP_CH_ETAL_V01 9) ) ) ) -3 3) 3 ) 1 ) {-0} ) {-3} 7) {-1} ) of

12 Answer Ke Testname: E03PREP_CH_ETAL_V01 9) - 3 0) - 1 1) {-} ) ) 3 d3 ) in.3 ) 9π ft3 ) 00π ft3 7) 3 ) 3 9) 7 70) ) - 7) 9 73) = - 7) = ) = ) = ) -1 7) -1 79) 1 0) 1 1) -1 ) Undefined 3) Undefined ) 1 ) 0 1 of

Math 0308 Final Exam Review(answers) Solve the given equations. 1. 3x 14 8x 1

Math 0308 Final Exam Review(answers) Solve the given equations. 1. 3x 14 8x 1 Math 8 Final Eam Review(answers) Solve the given equations.. 8.. 9.. 9 9 8 8.. 8 8 all real numbers 8. 9. all real numbers no solution 8 8 9 9 9 Solve the following inequalities. Graph our solution on