ALGEBRA I FINAL EXAM
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1 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
2 . Solve: 7= 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
3 . Solve:.07(000 ) +.= 90,000,000,000,000 E., 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 : = Solve: 6 = All numbers No solutions E. 06/0/0
4 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? Solve: 6 =,,,, 06/0/0
5 . Graph the solution set of the following equation: 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
6 . 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 ( ) = E. No solution 7. Solve: = + All numbers No solutions 0 06/0/0
7 . 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 Simplify: ( y) (+ y) 6 y 6 y 6y y 06/0/0 6
8 . 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
9 . 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
10 7. Simplify: y y y y 0 y y + 0 y y 0 y y + 0 y. Simplify: Simplify: ( )(+ 6 ) 06/0/0 9
11 0. Which of the following equations best represents the relationship? E. ( )( ) = + ( )( ) + = + 7 ( )( ) = + 7 ( )( ) = + 7 ( )( + ) = + 7. Epand: ( )(+ ) /0/0 0
12 . 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
13 . 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
14 . 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
15 0. Simplify: Simplify: Simplify: /0/0
16 . Solve for : ( )( ) 0 + =,, 0,,,,. Solve for : + = , 6, 6, 6 E.. Solve for : = 0,6, 6,, 06/0/0
17 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? k is a trinomial which is the square of a binomial. What is the value of k? 06/0/0 6
18 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 = = = = = 0 06/0/0 7
19 . Simplify:. If f ( ) = then what is the value of f (0)? E. 6 06/0/0
20 . Which of the following is a function? I II III 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
21 6. Simplify: What is the y coordinate of the intersection of the graphs of y = and + y= 67? 7 9 E. 06/0/0 0
22 . Which of the following is the graph of f ( ) = A B C D /0/0
23 9. Simplify: iy iy 7 y y y E. 7 y y 60. Simplify: /0/0
24 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
25 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? E What is the upper quartile of the following data set? E.,,, 6, 7,, 9, 0,,,,,,, 06/0/0
26 67. What is the value of y? y 0 sin cos tan What is the value of? 0 06/0/0
27 69. is 6% of what number? E. 0 70) Which of the following is the graph of y? A B C D E) NOTA 06/0/0 6
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