9. The formula for the area of a trapezoid is A = h 2 ( b 1 + b 2 ) . eh equals , h over 2 , open , b sub 1 , plus , b sub 2 , close .  Solve this equation for b 2 . b sub 2 , .
   1. b 2 = 2 A h b 1 b sub 2 , equals . fraction 2 eh , over h , b sub 1 end fraction
   2. b 2 = 2 A h − b 1 b sub 2 , equals , fraction 2 eh , over h end fraction , minus , b sub 1
   3. b 2 = 2 A h − b 1 b sub 2 , equals . fraction 2 eh , over h minus , b sub 1 end fraction
   4. b 2 = 2 A h + b 1 b sub 2 , equals . fraction 2 eh , over h plus , b sub 1 end fraction
10. Which line is parallel to the line 2 x − 3 y = 9 ? 2 x minus 3 y equals 9 question mark
    6. 2 x + 3 y = 9 2 x plus 3 y equals 9
    7. 2 x − 3 y = 6 2 x minus 3 y equals 6
    8. 3 x + 2 y = 9 3 x plus 2 y equals 9
    9. 3 x − 2 y = 6 3 x minus 2 y equals 6
11. What is the equation of the line that passes through ( − 2 , 4 ) open negative 2 comma 4 close  and (2, 7)?
    1. y − 7 = 3 4 ( x + 2 ) y minus 7 equals , 3 fourths , open x plus 2 close
    2. y + 7 = 3 4 ( x − 2 ) y plus 7 equals , 3 fourths , open x minus 2 close
    3. y − 7 = 3 4 ( x − 2 ) y minus 7 equals , 3 fourths , open x minus 2 close
    4. y − 2 = 3 4 ( x − 7 ) y minus 2 equals , 3 fourths , open x minus 7 close

GRIDDED RESPONSE

12. The nutrition label on a package of crackers shows there are 80 Calories in 16 grams of crackers. How many grams are in a package labeled 100 Calories?
13. A family with 4 adults and 3 children spends $47 for movie tickets at the theater. Another family with 2 adults and 4 children spends $36. What is the price of a child's ticket in dollars?
14. What is the sum of the solutions of | 5 − 3 x | = x + 1 ? vertical line 5 minus 3 x vertical line equals x plus 1 question mark
15. Sofia is buying party favors for her birthday party. The candles cost $1 each, the frames are $2 each, and the mugs are $2.50 each. She has $120 to spend on 75 favors. Also, she wants to buy twice as many candles as mugs. How many frames should she buy?

Short Response

16. An ice cream shop has regular mix-ins for $.50 each and premium mix-ins for $1 each. You have $2.50 to spend on mix-ins, and you want at least 4 mix-ins. How many of each type of mix-in can you get in your ice cream?
17. The equation of line m is y = 3 x − 1 . y equals 3 , x minus , 1 .  What is the equation of a line that goes through the point ( 3 , − 2 ) open 3 comma negative 2 close  and is perpendicular to line m? Show your work.

18. The graph below shows the boundaries for the system of linear inequalities.

    { y ≤ 0.5 x + 5 y ≤ − 5 x − 6 left brace . table with 2 rows and 1 column , row1 column 1 , y less than or equal to 0.5 x plus 5 , row2 column 1 , y less than or equal to negative 5 x minus 6 , end table

    
    Image Long Description

    1. Of the shaded areas A, B, C and D, which area represents a solution to the first inequality but not the second?
    2. Which represents a solution to the second inequality but not the first?
    3. Which represents a solution to both inequalities?
    4. Which represents a solution to neither inequality?

Extended Response

19. Jenna is trying to break her school's record for doing the most push-ups in ten minutes. The current record holder did 350 push-ups in ten minutes. The table shows the number of push-ups Jenna completed in the first 6 minutes.
    1. Draw a scatter plot and find the line of best fit.
    2. Will Jenna beat the current record? Justify your reasoning.

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