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