Co m m o n Co r e Cu m u l a t i v e
St a n d a r d s Re v i e w
ASSESSMENTs u c c e s s
Some questions on tests ask you
to use polynomials to represent
perimeter, area, and volume.
Read the sample question at
the right. Then follow the tips to
answer it.TIP 1
Make sure you look
at th e figure and
understand it. This
fig u re is a rectan gular
prism. T h e ex p ressio n s
x + 1, x + 2, and x + 3
rep resen t th e lengths of
its e d g e s.The figure below is a rectangular prism.x + 3Which expression represents the volume of
the prism?
CSC x3 + 6
CID x2 + 2x + 2
CO x3 + x2+ 10x + 6
CO x3 + 6x2 + 1 lx + 6TIP 2
Be sure to answ er th e
question being asked. In this
problem , you need to find th e
volum e o f th e prism.Think It Through
The volume of a rectangular
prism is given by V = (wh.
Substitute the edge lengths into
the formula. Then simplify the
product.
V = twh
= (x + l)(x + 2)(x + 3)
= (x2 + 3x + 2)(x + 3)
= x3 + 6x2 + llx+ 6
The correct answer is D.Vocabulary Builder
As you solve test items, you must understand
the meanings of mathematical terms. Match each
term with its mathematical meaning.
A. polynomial
B. power
C. area
D. volume
E. scaleI. an expression of the form an,
where a is the base and n is
the exponent
II. the ratio of a distance in a
drawing and the actual distance
III. the number of cubic units
contained in a space figure
IV. a monomial or the sum of two or
more monomials
V. the number of square units
contained in a planar figureSel e ct e d Re sp o n se
Read each question. Then write the letter of the correct
answer on your paper.- What is y = |x - 4 written in standard form?
CAC 2x + 7y = -28 CSC -2 x -7y = -28
d C 2x — 7y = 28 CSC -2 x + 7 y = 2 8
3x3y - Which expression is equivalent to
CD 9x3y3
r3CHC 27x3y3
CD
x3y°- Which expression is equivalent to 1 Ox - (5x - 1)?
CAC 2 x - 1 CSC 5x - 1
CSC 2x + 1 CSC 5x + 1
540 Chapter 8 Co m m o n Co r e Cu m u l a t i v e St an d ar d s Re v i e w