# SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

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1 Math 1 Final Eam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve. 1) = ) ) 6 + 7(- - ) = -8 - ) ) - t + t = 6 t + 1 ) Solve the literal equation for the specified variable. ) A = 1 bh for h ) ) A = P(1 + nr) for r ) Solve the problem. 6) An object is thrown upward with an initial velocit of 1 ft per second. Its height is given b the function h(t) = -1t + 60t at time t seconds. After how man seconds does it land on the ground? 6) f()

2 Determine the equation of the given line, as well as the slope of the line. If the slope is undefined, state this. 7) 7) Factor completel. If the polnomial cannot be factored, write "prime." 8) ) 9) - 7 9) ) ) Solve. 11) = 0 11) Factor completel. If the polnomial cannot be factored, write "prime." 1) 1c + 1) 1) ) 1) ) Find the slope and the -intercept of the given line. 1) = ) 16) = 7 16) Find the equation of the line with the given slope and -intercept. 17) Slope -; -intercept (0, -7) 17)

3 Find three ordered pairs that are solutions of the given linear equation, and use them to graph the equation. 18) = - 18) Find the - and - intercepts. If there are no intercepts write "No -intercept" or "No -intercept". 19) = ) 0) + = 0) Graph. Label an intercepts and determine the slope of the line. If the slope is undefined, state this. 1) = -6 1) ) )

4 Find the intercepts, and then graph the line. ) - = 6 ) - - Evaluate the function. ) f() = 18 -, f(8a - ) ) Graph the lines and find the coordinates of the point of intersection. ) = + 1 and = - + ) Determine whether the given lines are parallel, perpendicular, or neither. 6) + 0 = - = 0-8 6) 7) = 6 = - 7) Evaluate the function. 8) g() = - 9, g( ) 8) Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through the given point. 9) Parallel to = - 1, through (1, -) 9)

5 Find the slope-intercept form of the equation of a line that passes through the given points. 0) (-, ), (, ) 0) Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through the given point. 1) Perpendicular to =, through (6, -) 1) Find the equation of a line with the given slope and -intercept. ) Slope 9, -intercept (0, -6) ) Graph the linear inequalit. ) + 6 ) ) )

6 Find the region that contains ordered pairs that are solutions to both inequalities. ) + and ) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Rationalize the denominator and simplif. Assume all variables represent nonnegative real numbers. 6) 8 6) A) B) C) D) 8 Multipl. 7) ( )( + ) A) B) C) D) ) Add or subtract. 8) A) 7 B) - C) -7 D) 8) Simplif the epression. Assume all variables represent nonnegative real numbers. 9) ( / ) / A) /1 B) 1/8 C) 8/ D) 8/1 9) Find the domain of the function. Epress the answer in interval notation. 0) f() = + 1 A) 1, B) - 1, C) - 1, D) -, - 1 0) Simplif. 1) 6 6 1) A) 6 6 B) 1 C) 6 D) 16 6

7 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the sstem b graphing. If the sstem is inconsistent and has no solution, state this. If the sstem is dependent, write the form of the solution for an real number. ) + = ) + = Solve the sstem b substitution. If the sstem is inconsistent and has no solution, state this. If the sstem is dependent, write the form of the solution for an real number. ) = ) = 9 ) + = = -8 ) Solve the problem. ) There were people at a pla. The admission price was \$ for adults and \$1 for children. The admission receipts were \$970. How man adults and how man children attended? ) Solve the sstem using the addition method. If the sstem is inconsistent and has no solution, state this. If the sstem is dependent, write the form of the solution for an real number. 6) = 9 6) + 6 = 6 7) 8 - = 6-16 = 1 7) 7

8 Graph the sstem of inequalities. 8) ) ) ) - > Solve the problem. 0) How man liters of a 0%-alcohol solution must be mied with 0 liters of a solution that is 90% alcohol to get a solution that is 60% alcohol? 0) 1) Mardi received an inheritance of \$0,000. She invested part at 1% and deposited the remainder in ta-free bonds at 9%. Her total annual income from the investments was \$700. Find the amount invested at 1%. 1) ) The perimeter of a rectangle is 16 cm. The length is cm longer than the width. Find the dimensions. ) ) And has 17 coins made up of quarters and half dollars, and their total value is \$.7. How man quarters does he have? ) 8

9 Graph the sstem of inequalities. ) ) Convert the given number to standard notation. ) ) 6) 1.7 6) Convert the given number to scientific notation. 7) 1,086,000,000,000,000 7) Perform the indicated calculation. Epress our answer using scientific notation. 8) ( 8 )(7 8 ) 8) 9) (1.7-7 ) ( 9 ) 9) Solve the problem. Epress our answer in scientific notation, and round to one decimal place. 60) A computer can do one calculation in seconds. How long would it take the computer to do a trillion ( 1 ) calculations? 60) For the given functions f() and g(), perform the indicated operation. 61) f() = , g() = Find f() - g(). 61) Evaluate the polnomial. 6) -z + + z for =, = - and z = 6) 6) b - ac for a =, b = - and c = 6) Add or subtract. 6) ( ) + ( ) 6) 9

10 Convert the given number to scientific notation. 6) ) Solve the problem. 66) The product of two negative consecutive integers is 1 more than their sum. Find the integers. 66) Divide. 67) ) Add. 68) ) Simplif the comple fraction. 69) ) Add. 70) ) Simplif the comple fraction. 71) ) - Solve. 7) + = 1 7) 7) = + 7) 7) The sum of a number and 6 times its reciprocal is 16. Find the number. 7)

11 Multipl. 7) ) 11

12 Answer Ke Testname: FINAL REVIEW 1) - 17 ) {1} ) {18} ) h = A b ) r = A - P Pn 6) seconds 7) = -, m: undefined 8) ( + )( - ) 9) ( - )( + + 9) ) ( - )( - ) 11) - 1 7, 6 1) (8c + 7)(6c - 6c + 9) 1) ( - 1)( + ) 1) ( - )( - ) 1) - 1 ; (0, ) 16) ; 0, ) = ) ) (, 0), (0, -16) 0) (, 0), (0, ) - 1

13 Answer Ke Testname: FINAL REVIEW 1) -intercept: (-6, 0), m: undefined ) ) (0, -6), (, 0) - - ) -a + ) (1, ) ) Neither 7) Perpendicular 8) - 9) = - 9 0) = + 6 1) = 8-8 1

14 Answer Ke Testname: FINAL REVIEW ) = 9-6 ) ) ) ) C 7) D 8) A 9) D 0) B 1) C ) (, -) ) (-7, -) ) (, -) 1

15 Answer Ke Testname: FINAL REVIEW ) 0 adults and 80 children 6) (0, 1) 7) Inconsistent, 8) ) ) 0 L 1) \$0,000 ) Width: cm; length: 6 cm ) 11 quarters ) ) ) 1,70 1

16 Answer Ke Testname: FINAL REVIEW 7) ) ) ) 1. seconds 61) ) 1 6) -6 6) ) ) -6, - 67) + 68) ) ) 9-1 ( - 1)( + 1)( - ) 71) - 1 7) { 1 } 7) 7) 8 7)

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