13 Questions
| Total Attempts: 48

Questions and Answers

- 1.Liam is has a rectangular sandbox that he is building for his younger brother. The length of the sandbox is 3 times the width. If he builds a grassy area 3 feet out on every side, what would the area of the new rectangle be (including the grassy area) in terms of w, the width?
- A.
3w2 + 12w + 9

- B.
3w2 + 24w + 36

- C.
3w2 - 12w + 9

- D.
3w2 - 24w + 36

- E.
None of the above

- 2.Victoria is building a rectangular pen using an existing side of her house (so her pen only needs three sides of fencing.) If she has 160 feet of fencing, what would be dimensions that would yield the maximum area? Use x to represent how far out from the house her pen extends.
- A.
30 feet out from house, 100 feet along the house

- B.
53.3 feet out from house, 53.3 feet along the house

- C.
60 feet out from house, 40 feet along the house

- D.
40 feet out from house, 80 feet along the house

- E.
20 feet out from house, 120 feet along the house

- F.
75 feet out from house, 30 feet along the house

- 3.Factor completely:4x
^{2}- 81y^{2} - 4.Factor completely9a
^{2}+ 12ab + 4b^{2} - 5.Factor completely:125m
^{3}+ 27n^{3}Use the ^ key to indicate a power. - 6.Factor completely:x
^{4}- 625y^{4} - 7.Factor completely:10x
^{3}- 12x^{2}- 16x - 8.Solve the following quadratic equation:5x(x - 2) - 2(x + 1) = x - 8Write answers as x = ____ and x = ______
- 9.The path of a ball is given by the equation h(t) = -16t
^{2}+ 64t, where t is the time in seconds after the ball is hit in the air and h(t) is the height of the ball in feet at a given time, t.After how many seconds does the ball attain a maximum height? - 10.Write the following parabola in vertex form:h(x) = 0.5x
^{2}+ 5x + 1Use decimals to enter your answer and ^ for the exponent. - 11.Write the following parabola in vertex form:y = -6x
^{2}- 36x - 10- A.
Y = -6(x + 6)^2 + 26

- B.
Y = -6(x - 6)^2 + 26

- C.
Y = -6(x - 3)^2 + 44

- D.
Y = -6(x + 3)^2 - 1

- E.
Y = -6(x - 3)^2 - 1

- 12.Solve the following quadratic equation. Give the answer in simplest radical form.4x
^{2}+ 8x + 1 = 0enter answer as (_____ +- sqrt____)/_____ - 13.Write the equation of the following parabola:
- A.
Y = 3(x + 1)^2 - 1

- B.
Y = (x + 1)^2 - 1

- C.
Y = (x - 1)^2 + 1

- D.
Y = 3(x - 1)^2 - 1

- E.
Y = -3(x + 1)^2 - 1