ALGEBRA I FINAL EXAM



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ALGEBRA I FINAL EXAM A passing score of 9 on this test allows a student to register for geometry. JUNE 00 YOU MAY WRITE ON THIS TEST

. Solve: 7= 6 6 6. Solve: =. One tai cab charges $.00 plus 7 cents per mile while a second tai charges 7 cents plus 0 cents per mile. For what length trip would the fee charged by each tai be the same? 0 0 E. 0. Solve: = No Numbers E. All Numbers 06/0/0

. Solve:.07(000 ) +.= 90,000,000,000,000 E.,000 6. Four times the smallest of three consecutive odd integers is five more than three times the largest. What is the sum of these three consecutive odd integers? 7 9 E. 7. Solve for : = 9 + 7... Solve: 6 = All numbers No solutions E. 06/0/0

9. Solve for y in terms of : y + = y = y = y = y= 0. The length of a rectangle is 6 less than three times the width. The perimeter of the rectangle is 60. What is the area?. 9 77.7. Solve: 6 =,,,, 06/0/0

. Graph the solution set of the following equation: 7-9 - 9-9 -9. Solve the following: 7. Name the property of algebra which is illustrated by: c ( + y) = c ( + y) The Refleive Property of Equality The Symmetric Property of Equality The Commutative Property of Multiplication The Associative Property of Addition E. The Distributive Property of Multiplication over Addition 06/0/0

. Name the property of algebra which is illustrated by: ( + a) = ( a+ ) Distributive Property of Multiplication over Addition The Refleive Property of Equality The Commutative Property of Multiplication The Commutative Property of Addition E. The Associative Property of Multiplication 6. Solve: 6 ( ) = 6 0 6 7 6 7 E. No solution 7. Solve: = + All numbers No solutions 0 06/0/0

. Solve: + = 7 9. If Diana can finish a job in hours and Natalie can do a job in 0 hours what fraction of the job would be completed if they worked together for hours? E. 9 0 0 0. Simplify: ( y) (+ y) 6 y 6 y 6y y 06/0/0 6

. Lorraine has a rectangular flower garden which is five feet longer than it is wide. The longer side of the flower garden is along a fence, as shown in the picture. The flower garden is surrounded on three sides by a gravel walkway, which is feet wide. If the area of the gravel walkway is 7 square feet, then what is the area of the flower garden? Gravel Pathway Flower Garden fence E. 6. ft ft 6 ft 60.7 ft 7 ft. What is the slope of the line passing through (, 6) and (,)? 9 06/0/0 7

. Which of the following is the equation of the line passing through (, ) and (,0)? y= 6+ y= 6+ y= + y= +. What is the y intercept of the line passing through (, ) with a slope of?. Which of the following equations passes through (,0) and has a slope of? + y = + y= 6 y= 6 y= 6 6. If a line passes through (, ) and ( 0, 7), which of the following will also lie on the same line? (, 9) (, 6) (, ) (, ) E. (, 6) 06/0/0

7. Simplify: y y y y 0 y y + 0 y y 0 y y + 0 y. Simplify: 6 6 0 6 0 9. Simplify: ( )(+ 6 ) 06/0/0 9

0. Which of the following equations best represents the relationship? + 7 + + 7 + E. ( )( ) = + ( )( ) + = + 7 ( )( ) = + 7 ( )( ) = + 7 ( )( + ) = + 7. Epand: ( )(+ ) 0 0 6 0 0 6 06/0/0 0

. Epand: (7 y) 9 + 9y 9 9y 9 y+ 9y 9 y+ 9y. Epand: ( )( ) + + +. Factor completely: 6 9 ( 7)( + ) ( )( + 7) ( )( 7) ( 7)( 7) 06/0/0

. Factor completely: 6 0 9y+ y ( y)( ) (+ )( y) ( y)(+ ) (+ )( + y) 6. Factor completely: 0 (+ )( ) ( )( ) ( )(+ ) (+ )( ) 7. Which of the following is the equation of a line passing through (, ) and parallel to the graph of y =? E. y= + 6 y= y= y= y= 06/0/0

. Which region would be the solution to the system + y 6 y B A C D A B C D 9. Solve the system of linear equation: y = + y= 0 What is the value of y? 6 06/0/0

0. Simplify: + 6 6. Simplify: + + 6 0 0. Simplify: 0 6 + 0 06/0/0

. Solve for : ( )( ) 0 + =,, 0,,,,. Solve for : + = + 6 + 6, 6, 6, 6 E.. Solve for : = 0,6, 6,, 06/0/0

6. Solve for :,, 0 = 7. How many liters of pure acid should be mied with 70 liters of a 0% acid solution to make a 0% acid solution? 0 0 0 0. + + k is a trinomial which is the square of a binomial. What is the value of k? 06/0/0 6

9. Solve for : 6+ = 0 ± 6± ± ± 0. Solve for : 9 6 = 0 ± 6± ± 6 0,. Squaring both sides of an equation is one step in solving radical equations. If this method was used to solve the equation: = + 6, then which of the following quadratics would be the result of the squaring process? E. + + 6= 0 + 7+ = 0 + 9+ = 0 + 9+ = 0 + 7+ = 0 06/0/0 7

. Simplify:. If f ( ) = then what is the value of f (0)? E. 6 06/0/0

. Which of the following is a function? I II III.. 0. 0-0. - -. - -. I only I and II I and III II and III E. I, II, and III. Which of the following is the reciprocal of? 06/0/0 9

6. Simplify: 7 + 0 7 9 0 7. What is the y coordinate of the intersection of the graphs of y = and + y= 67? 7 9 E. 06/0/0 0

. Which of the following is the graph of f ( ) = A B 0 9 7 6 0 - - - - - - 0 - - - - 0 9 7 6 0 - - - - - 0 - - - - - C 0 9 7 6 0 - - - - - - 0 - - - - D 0 9 7 6 0 - - - - - 0 - - - - - 06/0/0

9. Simplify: iy iy 7 y y y E. 7 y y 60. Simplify: 6 6 6 6 06/0/0

6. Simplify: E. 6. What is the value of 6 y y + if = and y =? 6. When we took our boat km downstream, it took hours. Using the same boat it took hours to return km upstream. What is the speed of the current? 06/0/0

6. What are the intercepts of the graph of the quadratic function: y=?,,,, 6. Ten balls numbered to are placed in a bag. One of the balls is chosen at random. What is the probability that it is divisible by? 0...6 E..7 66. What is the upper quartile of the following data set? E.,,, 6, 7,, 9, 0,,,,,,, 06/0/0

67. What is the value of y? y 0 sin cos tan.9.90.67.9.06.6 7. 6. What is the value of? 0 06/0/0

69. is 6% of what number?. 0 00 E. 0 70) Which of the following is the graph of y? A B C D E) NOTA 06/0/0 6