14. Which system of inequalities is graphed below?

    

    6. { y ≤ − 1 y + x ≥ 2 left brace . table with 2 rows and 1 column , row1 column 1 , y less than or equal to negative 1 , row2 column 1 , y plus x greater than or equal to 2 , end table
    7. { y ≥ − 1 y + x ≤ 2 left brace . table with 2 rows and 1 column , row1 column 1 , y greater than or equal to negative 1 , row2 column 1 , y plus x less than or equal to 2 , end table
    8. { y < 1 y + x > − 2 left brace . table with 2 rows and 1 column , row1 column 1 , y less than 1 , row2 column 1 , y plus x greater than negative 2 , end table
    9. { y > 1 y + x < − 2 left brace . table with 2 rows and 1 column , row1 column 1 , y greater than 1 , row2 column 1 , y plus x less than negative 2 , end table
15. What are the solutions of | 3 x − 5 | = 2 ? vertical line 3 x minus 5 vertical line equals 2 question mark
    1. x = − 1 x equals negative 1  and x = 7 3 x equals , 7 thirds
    2. x = 1 x equals 1  and x = 7 3 x equals , 7 thirds
    3. x = 1 x equals 1  and x = 1 5 x equals , 1 fifth
    4. x = − 1 x equals negative 1  and x = 1 5 x equals , 1 fifth
16. The formula for the total surface area of a regular right pentagonal prism is A = a p + p H . eh equals eh p plus p h .  Solve this equation for p.
    6. p = a + H A p equals . fraction eh plus h , over eh end fraction
    7. p = A a + H p equals . fraction eh , over eh plus h end fraction
    8. p = A − a H p equals eh minus , eh over h
    9. p = H − a A p equals . fraction h minus eh , over eh end fraction

GRIDDED RESPONSE

17. What is the discriminant of the equation 1 . 5 x 2 − 2 . 5 x − 1 . 5 = 0 ? 1 . 5 , x squared , minus 2 . 5 x minus 1 . 5 equals 0 question mark
18. Find the positive value of k that would make the expression 4 x 2 + k x + 4 4 x squared , plus k x plus 4  a perfect square trinomial.
19. When y = − 3 x 2 − 18 x − 23 y equals negative 3 , x squared , minus 18 x minus 23  is written in vertex form y = a ( x − h ) 2 + k , y equals eh . open x minus h close squared . plus k comma  what is the value of k?
20. What is the value of x in the system of equations { 2 y = x − 2 y − x = − 3 ? left brace . table with 2 rows and 1 column , row1 column 1 , 2 y equals x minus 2 , row2 column 1 , y minus x equals negative 3 , end table . question mark
21. Line A is perpendicular to x + 3 y = 5 x plus 3 y equals 5  and passes through the point ( − 2 , 1 ) . open negative 2 comma 1 close .  What is the y-intercept of Line A?
22. What is the slope of the line that passes through (5, 1) and ( − 2 , − 2 ) ? open negative 2 comma negative 2 close question mark
23. What is the sum of the zeros of f ( x ) = x 2 − 2 x − 8 ? f open x close equals , x squared , minus 2 x minus 8 question mark
24. A piggy bank contains $2.40 in nickels and dimes. If there are 33 coins in all, how many nickels are there?
25. What is the slope of the line parallel to 3 y − 7 x = 15 ? 3 y minus 7 x equals 15 question mark
26. Claudia has a rectangular flowerbed. She decided that the original width w, in feet, was too small, so she increased the width by 3 feet. She also changed the length to be 1 foot less than twice the original width. The new area of her flowerbed is 72 square feet. How many feet wide was the original flowerbed?

Short Response

27. A swimmer swam 1000 meters downstream in 15 minutes and swam back in 30 minutes against the current. What was the rate of the swimmer in still water? How fast was the current?
28. A horticulturalist is building a fence around a rectangular garden using the side of a building for one side of the enclosure. She has 81 feet of fencing. What should the dimensions of the enclosure be so that she can maximize the garden's area?
29. Explain how you would graph y + 4 < 2 | x − 3 | y plus 4 less than 2 vertical line x minus 3 vertical line  on a coordinate grid.

Extended Response

30. A hat company is designing a one-size-fits-all hat with a strap in the back that makes the hat smaller or larger. Head sizes normally range from 51 to 64 centimeters. What absolute value inequality models the different sizes of the hat? Graph the solution.
31. Robby decided to earn extra money by making and selling brownies and cookies. He had space in his oven to make at most 80 brownies and cookies. Each brownie cost $.10 to make and each cookie cost $.05 to make. He had $6 to spend on ingredients.
    1. Write a system of inequalities to represent the situation.
    2. Graph the system, choose one point in the feasible region, and explain what the point means in terms of the problem.
    3. If Robby makes a profit of $.25 on each brownie and $.20 on each cookie, how many of each dessert should he make to maximize his profit?

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