Mid-Chapter Quiz
M athX L fo r School
Go to PowerAlgebra.comDo you know HOW?
Simplify each expression. State any excluded values.1.2.3.4.5.6x2 - 24
x + 2
3c + 9
3c- 9
k-2
k2 + 2k- 8
2x2 + 13x + 15
2x+ 10
9 - x 2
x2 + x - 126. G e o m e t r y The height of a rectangular prism is
3 m ore th a n twice its w idth w. The volum e of the
prism is 2w 3 + 7w 2 + 6w. Write a sim plified
expression for th e length of th e prism.
Multiply or divide.7.8.9.10.11.12.y
z-3
3z^3
5y
z + 8
z + 2
'- 4 x2 + 7x + 12
x + 3
z + 5 ,x — 2
3z+ 15
4 z2d (^1) -{a* - a -G )r (^2)
4d2 — 3d
7d 4- (4d^2 + d - 3)
1 3. (6X3 - 4x2 + 2x) h- 4x2
- W hat is th e sim plified form of - 3x
X2 - 25 - The length of a rectangle is 4 x + 1 an d th e area is
1 2 X 3 + 2 3 x 2 + 1 3 x + 2. W hat is an expression for
the width?
Add or subtract.16- 4 + l17.5y 7 y
y + 3 y + 318 -i+s- f — 3 f — 2
20. x — 5 + : x + 4 9Do you UNDERSTAND?- Reasoning Y t c The expression 2 , X "r PX _. 0 sim plifies toI Z
jz r g. W rite th e expression p re p re s e n ts. - Error Analysis Your friend says th a t th e first step in
simplifying> x + 4 x — 3 3 - xis to divide out th e com m on
factors x — 3 an d 3 — x.
a. Explain your friend's error.
b. W hat is a possible correct first step? - Writing A stu d e n t’s first step in finding th e p roduct
7 o 7 r 3
x • x was to rew rite th e expression as x ’ y Why do
you th in k th e s tu d en t did this? - Compare and Contrast W hen you are dividing a
polynom ial by a m onom ial, you can m ultiply by the
reciprocal or use long division. How are th ese two
m eth o d s th e sam e? How are they different? W hich
m e th o d do you prefer? Explain your answer. - Reasoning You are dividing a polynom ial in one
variable w ith a degree of 5 by a m onom ial in the
sam e variable w ith a degree of 2. W ould you expect
th e q u o tien t to have a degree greater th a n or less
th a n 5? Explain your answer.
690 Chapter 11 Mid-Chapter Quiz