15. What is the simplified form of 5 ( 2 + 10 ) ? square root of 5 . open , 2 plus square root of 10 , close . question mark
    1. 2 10 2 square root of 10
    2. 2 5 + 50 2 square root of 5 plus square root of 50
    3. 2 5 + 5 2 2 square root of 5 plus 5 square root of 2
    4. 2 5 + 10 2 square root of 5 plus square root of 10
16. What is the factored form of 6 w 4 + 15 w 2 ? 6 , w to the fourth , plus 15 , w squared , question mark
    6. w 2 ( 6 w 2 + 15 ) w squared , open 6 , w squared , plus 15 close
    7. 3 w 2 ( 2 w 2 + 5 ) 3 , w squared , open 2 , w squared , plus 5 close
    8. 3 w ( 2 w 3 + 5 w ) 3 w open 2 , w cubed , plus 5 w close
    9. 3 w 2 ( 2 w 2 + 5 w ) 3 , w squared , open 2 , w squared , plus 5 w close
17. Which of the following is equivalent to ( 3 2 ) 2 ? open , 3 square root of 2 , close squared . question mark
    1. 6
    2. 9 2 9 square root of 2
    3. 18
    4. 36
18. What is the simplified form of x 2 − 81 2 x 2 + 23 x + 45 ? fraction x squared , minus 81 , over 2 , x squared , plus 23 x plus 45 end fraction . question mark
    6. x + 9 2 x + 5 fraction x plus 9 , over 2 x plus 5 end fraction
    7. x − 9 x + 9 fraction x minus 9 , over x plus 9 end fraction
    8. x − 9 2 x − 5 fraction x minus 9 , over 2 x minus 5 end fraction
    9. x − 9 2 x + 5 fraction x minus 9 , over 2 x plus 5 end fraction

GRIDDED RESPONSE

Record your answers in a grid.

19. A dinner party at a restaurant had 37 people. Each person ordered one of two entrées. One entrée cost $15, and the other entrée cost $18. The total cost of all the entrées was $606. How many $15 entrées were ordered?
20. A chemistry student needs to make 20 liters of a solution that is 60% acid. She plans to make the solution by mixing a solution that is 70% acid with another solution that is 45% acid. How many liters of the 45% acid solution will she need?
21. What is the negative solution of 2 x 2 + x = 3 ? 2 , x squared , plus x equals 3 question mark
22. Karen can mow the lawn in 15 min. Her friend Kim can mow the lawn in 10 min. If they work together, how many minutes will they take to mow the lawn?
23. Sandra takes 6 h to drive 300 mi. If she increases her speed by 5 mi/h, how many hours will she take to drive 440 mi?
24. Suzanne rolled a number cube 200 times and recorded her results in the table below. What percent of the time did she roll an even number? Write the percent in decimal form.

    

25. A roof on a house has a triangular cross section with at least two angles of equal measure. One angle of the triangle measures 120°. What is the measure, in degrees, of one of the other two angles?
26. Line p passes through points (5, − 4 negative 4 ) and (2, 7). What is the slope of a line that is perpendicular to line p?
27. A cylinder has a height of 20 cm and a diameter of 6 cm. What is the volume, in cubic centimeters, of the cylinder? Use 3.14 for π . pi .

Short Response

28. Phillip works at a grocery store after school and on weekends. He earns $8.50 per hour. What is a function rule for his total earnings f(h) for working h hours?
29. What is the simplified form of x 2 + 3 x − 18 6 x + 36 ? fraction x squared , plus 3 x minus 18 , over 6 x plus 36 end fraction . question mark  Show your work.

Extended Response

30. The formula C = 5 9 ( F − 32 ) c equals , 5 ninths . open , f minus 32 , close  can be used to find the Celsius temperature C if you know the Fahrenheit temperature F.
    1. Transform the equation to find the Fahrenheit temperature F in terms of the Celsius temperature C.
    2. Use the formula in part (a) to find the Fahrenheit temperature equivalent to 35°C.

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