Name: ______________________
Class: _________________
Date: _________
ID: A
Algebra 2 Honors Mini-MAFS 2 (To be given after Chapter 2)
MAFS.912.A-APR.1.1, MAFS.912.A-APR.2.2, MAFS.912.A-SSE.1.2
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1
A cooler, complete with lid, is in the shape of a rectangular prism and its outer dimensions have a length 4
times the width and height 3 times the width. The inside of the cooler (with the lid on) has a uniform
coating of insulation foam that is one inch thick. Let x represent the width of the cooler. What is the
volume of the inside of the cooler?
3
2
3
A. 12x + 5x + 8x − 1
3
2
B. 12x − 19x + 8x − 1
2
2
C. 12x − 19x − 6x − 1
3
2
D. 12x − 38x + 32x − 8
4
2
The sides of a pentagon are x − 2x, x ,
1 3 2
1 2
x , x + 4, and x + x − 1. Which polynomial represents the
2
4
perimeter of the pentagon?
1 3 9 2
x + x −x+3
2
4
4
11 2
B. x +
x −x+3
4
4
A. x +
3
1 3 5 2
x + x −x+3
2
4
4
1 3 9 2
D. x + x + x − x − 1
2
4
4
C. x +
The rectangle shown is enlarged so that the horizontal length is multiplied by 2x and the vertical width is
1
multiplied by x. What is the difference in the perimeters of the two rectangles?
2
2
x − 4x + 2
2
x + 6x − 4
5 3
2
x − 7x + 2
2
3 2
B. − x − 25x + 6
2
A.
4
3
2
3
2
C. 5x − 14x + 4
D. 5x − 10x + 4x
A circular fountain is surrounded by a circular walkway. The radius of the fountain is x + 2 feet and the width
the walkway is 4 feet. Which expression represents the area of the walkway?
2
A. 4 πx + 16 πx + 16 π square feet
B. 16 πx + 40 π square feet
C. 8 πx square feet
D. 8 πx + 32 π square feet
1
Name: ______________________
5
If the polynomials P(x) and Q(x) are related by the equation P(x) = Q(x)(x − 4) + P(4), which statement
must be true?
A.
B.
C.
D.
6
P(4) must equal –4 if 4 is a zero of P(x).
P(4) must equal P(x) divided by (x – 4).
P(4) must equal 0 if 4 is a zero of P(x).
P(4) must equal 4 if 4 is a zero of P(x).
4
B. 2
2
C. 0
3
D. 6
2
Given the polynomial P(x) = x − x − 8x + 12, what is the value of R(x) in the equation
P(x) = Q(x)(x + 3) + R(x)?
A. –36
8
3
Consider the polynomial function P(x) = x + ax − 5x + 4x + 12, where a is an unknown real number. If
x − 2 is a factor of the polynomial, what is the value of a?
A. −2
7
ID: A
B. 0
C. 6
D. 28
3
2
Gloria attempted to find the remainder when P(x) = x − x − 30x + 72 is divided by ( x − 3 ) . Her work is
shown below. What error did she make, and how should she correct it?
3
2
P(x) = x − x − 30x + 72
3
2
P(−3) = (−3) − (−3) − 30(−3) + 72
= −27 − 9 + 90 + 72
= 126
A. Gloria should have found P(3) using the Remainder Theorem. The remainder should
be 0.
B. Gloria should have written the third step as −27 + 9 + 90 + 72. The remainder should
be 144.
C. Gloria should have found P(8) using the Remainder Theorem. The remainder should
be 280.
3
2
D. Gloria should have written the second step as P(−3) = (−3) − (−3) − 30(3) + 72. The
remainder should be –54.
9
How do you rewrite the polynomial 64y4 – x6 so that it can be factored completely?
A.
B.
C.
D.
Rewrite
Rewrite
Rewrite
Rewrite
the
the
the
the
terms
terms
terms
terms
as
as
as
as
the
the
the
the
difference
difference
difference
difference
of two squares, or ((4y) 2 ) 2 – (x2 ) 2
of two squares, or (23 y2 ) 2 – (x3 ) 2 .
of two cubes, or 43 (y1 ) 3 – (x2 ) 3 .
of two squares, or (2y2 ) 2 – (x2 ) 2 .
2
Name: ______________________
ID: A
10 The expression 2 6 + x 9 can be factored using the sum of two cubes pattern. Which expression shows how to
6
9
rewrite 2 + x ?
A. (24 ) 2 + (x3 ) 2
B. (22 ) 3 + (x3 ) 3
C. (22 ) 3 + (x2 ) 3
D. (22 ) 3 + (x6 ) 3
11 Gigi wants to rewrite the polynomial x4 – 2x2 + 1 so that she can factor it more easily. Which is her best
first step for factoring?
A. (x2 ) + (x2 ) – 2x + 1
B. (x2 ) 2 + 1(x2 ) + 1
C. x(x3 ) – x(x) + 1
D. (x2 ) 2 – 2(x2 ) + 1
3
ID: A
Algebra 2 Honors Mini-MAFS 2 (To be given after Chapter 2)
MAFS.912.A-APR.1.1, MAFS.912.A-APR.2.2, MAFS.912.A-SSE.1.2
Answer Section
MULTIPLE CHOICE
1
ANS:
MSC:
2 ANS:
MSC:
3 ANS:
MSC:
4 ANS:
MSC:
5 ANS:
MSC:
6 ANS:
MSC:
7 ANS:
MSC:
8 ANS:
MSC:
9 ANS:
MSC:
10 ANS:
MSC:
11 ANS:
MSC:
D
DOK
A
DOK
C
DOK
D
DOK
C
DOK
A
DOK
B
DOK
A
DOK
B
DOK
B
DOK
D
DOK
PTS: 1
STA: MAFS.912.A-APR.1.1
PTS: 1
STA: MAFS.912.A-APR.1.1
PTS: 1
STA: MAFS.912.A-APR.1.1
PTS: 1
STA: MAFS.912.A-APR.1.1
PTS: 1
STA: MAFS.912.A-APR.2.2
PTS: 1
STA: MAFS.912.A-APR.2.2
PTS: 1
STA: MAFS.912.A-APR.2.2
PTS: 1
STA: MAFS.912.A-APR.2.2
PTS: 1
STA: MAFS.912.A-SSE.1.2
PTS: 1
STA: MAFS.912.A-SSE.1.2
PTS: 1
STA: MAFS.912.A-SSE.1.2
2
1
2
2
2
2
2
3
2
1
2
1