big paper problems - oswego community unit school district 308€¦ · big paper problems 1)...
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Big Paper Problems
1) Simplify 2𝑥(𝑥 − 4) − 3(𝑥2 + 5) + 3𝑥
2) Multiply (6x – 5)2
3) Multiply (2x – 4)(x2 – 4x + 5)
4) Solve (7x – 4)(3x + 5) = 0
5) Factor 100x2 – 81y
2
6) Factor 6x2 + 7x + 1
7) Each side of a square x units long is
decreased by 2 units. Determine an
expression that represents the area of the
new square in square units? (Write it out as
two binomials and use FOIL or box-
method).
8) The length of a rectangle is 8 times the
width. The area is 512 square centimeters.
What is the length?
9) Determine the axis of symmetry and vertex
of the equation y = –x2 + 2x – 6
10) Describe how the parent function f(x) = 𝑥2
translated to create the graph of g(x) =
(𝑥 + 2)2 + 8.
DO NOT WRITE
ON THIS SHEET
11) Solve x2 – 4x + 2 = 0 by completing the
square.
12) Find the value of c that will make 4x2 + 20x
+ c a perfect square trinomial.
13) Convert y = x2 – 8x + 2 into vertex form.
14) Simplify √40𝑥2𝑦5
15) Simplify (√3 + √2)(√6 − √8)
16) Determine the number of real solutions of x2
+ 6x – 9 = 0
17) How does the translated graph of 𝑦 =
√𝑥 + 5 + 6 compare to the parent graph of
𝑦 = √𝑥
18) Determine the horizontal and vertical
asymptotes of 𝑦 =2
𝑥+3+ 8
19) Solve √4𝑥 + 5 − 2 = 9
20) Solve 𝑓 + 2
𝑓 –
𝑓 + 1
𝑓 + 5 =
1
𝑓