Honors Algebra II/Trig
Chapter 2.1-2.4 Quiz Review
Name___________________________
NO CALC
Complete the following with the given power.
2
1) -8
 2x 
3)  4 
y 
–12
2) x • x
9
3
4) 3.1  10 28  2.2  10 37
State the end behavior (in the form x  ___, f ( x)  ___ ), degree of the polynomial, and
whether the a-value is positive or negative.
6)
7)
End behavior:
End behavior:
Degree:
Degree:
A-value (+/-):
A-value (+/-):
State the end behavior (in the form x  ___, f ( x)  ___ ).
8) f ( x)  2 x 6  x  1
9) f ( x)   x 9  14 x 6  2.25x 3  4.8
Graph the following by hand. List at least 5 points:
10) f(x) = –x3 + 6x + 3
11) f(x) = x4 – 2x2 + x – 3
Honors Algebra II/Trig
Chapter 2.1-2.4 Quiz Review
Name___________________________
CALC
Simplify each of the following:
1) 3x3 + 9 + 7x2 – x3
2) (2y2 – 3y + 4) + (y2 + 6y – 1)
3) (3xy3 – x3y) – (2x3y – 2xy3)
4) 2(3n2 + 4) – 9(n2 – 2)
5) (3a+1)(a – 2)
6) (2ab – b + 7)(9ab + b + 7)
7) (3t – 2s4)2
8) 2(3j – k2)(3j + k2)
9) (4ab – c2d)3
Factor the following completely:
10) 3 x 8  27
11) 7 x 3  14 x 2 n  16n 3  8 xn2
Solve the following:
12) 5 x 3  15 x 2  12 x  36
13) 18 x 3  50 x
Solve the following word problem.
14) At the ruins of Caesarea, archaeologists discovered a huge hydraulic concrete block with a
volume of 945 cubic meters. The block’s dimensions are x meters high, 12x – 15 meters long,
and 12 – 21 meters wide. What is the height of the block?
15) A manufacturer wants to build a rectangular stainless steel tank with a holding capacity of
670 gallons which is about 89.58 cubic feet. The tank’s walls will be one half inch thick and
about 6.42 cubic feet of steel will be used for the tank. The width should be two less than the
length and the height should be 8 feet more than the length. What are the outer dimensions?