Math 030 Review for Final Exam Revised Fall 2010 RH/ DM 1

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1 Math 00 Review for Final Eam Revised Fall 010 RH/ DM 1 1. Solve the equations: (-1) (7) (-) (-1) () f. 1 g. h i. 9. Solve the following equations for the given variable: 1 Solve for. D ab c Solve for 9 F C Solve for C. 1 Solve for.. Solve and graph these inequalities on the given number lin Write our answers in interval notation. - > 1 a - a (b 1) > b a < f. > g. 1 h

2 Math 00 Review for Final Eam Revised Fall 010 RH/ DM. Make a table of values for the following equations. Graph using graph paper Find the and intercepts. Use them to graph the equations on a piece of graph paper A) Find the slope of the line passing through the given points. B) Use the Slope Intercept formula to find the -intercept. C) Use the slope and -intercept to write an equation of the line passing through the points. D) Graph the equation of each line on graph paper. (,) and (, ) (,1) and (,) (,) and (,0) (,) and ( 7,) (,) and (, ) f. (,) and (,) 7. Use the Point Slope formula to find the equation of the line: passing through 0, and having a slope of passing through (,) and (,).. passing through (,7) and parallel to a line with slope of. perpendicular to the line with the equation 1 and passing through the point (,). parallel to the line with the equation and passing through the point (,1).. Solve the sstems b graphing on graph paper: 1 1 7

3 Math 00 Review for Final Eam Revised Fall 010 RH/ DM 9. Solve the sstems b substitution: Solve the sstems b the elimination method: Solve the inequalities b graphing. Use graph paper: < - > Add or subtract the polnomials as indicated: ( 7 ) ( 9 ) ( ) ( 9) ( 7 11 ) ( 9) ( 7 ) ( 7) ( ) ( ) f. ( 1 1) ( 7) 1. Multipl and simplif: 10a ( a a a) ( )( 1 ) ( a )( a ) 9 ( )( ) ( ) f. 9 ( ) g. ( )( 9) h. ( 1)( 1) j. ( 1)( ) k. ( 10 z)( z ) 1. Factor these epressions completel: i. ( 7)( 7) l. ( 11) _ 0 0 a b a b 1a b 10 1 f. 9 0 g. h. 1 i. j. k. 10 l. 0

4 Math 00 Review for Final Eam Revised Fall 010 RH/ DM 1. Solve these equations, using the Zero Product Propert: 0 0 ( )( 11) f. 1 g. 0 h. 10 i Reduce to simplest terms: f. 9 9 g a b c h. 1 1a b c i. 17. Add or subtract as indicated; then reduce to lowest terms, if possibl f. 1. Multipl or divide as indicated; then reduce to lowest terms, if possibl f. 9

5 Math 00 Review for Final Eam Revised Fall 010 RH/ DM 19. Solve these equations for the variabl f Simplif. Write without negative eponents in our answer. Evaluate, if possibl ( ) ( ) ( ) 7 1 f. ( c ) g. ( ) h. 9 i. ( 9 ) 0 j. a a b b 1. Simplif the radicals: k. l b a f. 19 a b c g. 7 h. 7 1 i. 1 j. 1 k. 90 l.. Rewrite as a radical and simplif: ( 7) f. ( ) 1 ( ) 1

6 Math 00 Review for Final Eam Revised Fall 010 RH/ DM. Write with rational eponents: ( ) ( ) 7 ( ). Perform the indicated operations. Give answers in simplest radical form: ( 1 ) f. ( )( ) g. ( 1) h. ( )( ). Rationalize the denominators: _ f.. Solve the equations. Remember to do a check for each solution: f. 7. Epress in terms of i : 1 ( i)( i). Perform the indicated operations. Epress our answers in a bi form: ( i) ( 7 i) ( 7i) ( i) ( 1 7i) ( 7 11i ) ( 1 i) ( i) ( i )( i) f. ( i)( i) g. 1 h. 11 i( i) i. ( i)( i)

7 Math 00 Review for Final Eam Revised Fall 010 RH/ DM 7 9. Solve the quadratic equations b factoring: Solve the quadratic equations b taking roots: ( 1) 1 ( ) ( 7) ( ) f Solve the quadratic equations b completing the square: f. 10. Solve the quadratic equations b using the Quadratic Formula: f. 0. Make a table of values. For each equation find: 1) the verte, ) the intercepts, ( if the eist ), ) the intercept, and ) the equation of the ais of smmetr. Graph the equation using graph paper. ( ) ( ) f.. Write the equation in standard form b completing the square if necessar. Find the center and the radius of each circle and use them to graph the circle: 1 ( ) ( )

8 Math 00 Review for Final Eam Revised Fall 010 RH/ DM. Find the equation of each circle with the given radius and center: Center (, ) Radius Center (, 7) Center ( 0,) Radius Center (,0) Radius 7 Radius. Write an algebraic equation and solve it. When is subtracted from five times a number the result is. Find the number. The sum of three consecutive odd integers is 171. Find the numbers. The length of a rectangle is 1 feet more than twice its width. The perimeter is 0 feet. Find the length and width of the rectangl Find two consecutive integers whose product is 10. (There will be a set of positive integers and a set of negative integers.) Find two consecutive even integers whose product is 0. (There will be a set of positive integers and a set of negative integers.) f. Is the point (,) a solution for the equation 1? 9 g. If the sum of the reciprocal of a number and is, what is the number? 0 h. If m varies directl with n, and m 10 when n, find m when n is 100. i. Find the quadratic equation with roots (, 7).

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