Math 3 Benchmark Review (May 2015)

Name____________________________________

Directions: Show work on separate sheet of paper. Solve by Quadratic Formula and Factoring 1) 2) 3)

Solve by Quadratic Formula 5)

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Put the Quadratic into vertex form by completing the square. Find the vertex. Min or Max 7) ( ) 8) ( )

Find the equation of the quadratic passing through the following points ) ( ) ( ) ) ( ) ( 9) ( 10) (

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Write the equation of the quadratic with the following transformations 11) up 4, reflect y-axis 12) vertical stretch of 3, reflect x-axis, right 4 Solve the following system of equations 13) {

14) {

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Solve the following banking problems 15) Invest $350 at 6.5% for 8 years compounded continuously.

16) Invest $1000 at 11% compounded monthly for 8 years.

Solve. 17) A baseball card is worth $75 now and gains value at 8% annually. How much is it worth after 10 years?

18) A car is worth $20,000 now. It depreciates at 7% annually. How much is it worth in 6 years?

Find the end behavior of the following. ( ) 19)

Find k so that the remainder is 4. ) ( 21) (

Evaluate 23) (

20) ( )

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22) (

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24)

Find arc length and sector area of circle. 25) Diameter is 10 and angle is 50.

26) Radius is 8 and angle is 75.

Solve the following work problems. 27) If Jack can mow the hill in 4 hours and Jill can mow the hill in 5 hours. How long would it take them if the mowed together?

28) If Daniel can sand the floor in 4 hours and Mr. Miyagi and Daniel can do it together in 1 hour. How long for Mr. Miyagi to sand the floor by himself?

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30) A farmer has 240 acres of land in which to plant oats and corn. The farmer profits $40 per acre for corn and $30 per acre for oats. The farmer can work a total of 320 hours. Corn takes 2 hours of labor per acre while oats take only one. How many acres of each should be planted to maximize profits?

Solve. 31)

32)