Regents Exam Questions A.SSE.A.1: Modeling Expressions 1 Name: ________________________
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A.SSE.A.1: Modeling Expressions 1
1 What is the constant term of the polynomial
4d 6 3d
2
?
1) 6
2) 2
3) 3
4) 4
2 When
3x
2
7x 6 2x
3
is written in standard
form, the leading coefficient is
1) 7
2) 2
3) 3
4)
6
3 What is the degree of the polynomial
2x x
3
5x
2
?
1) 1
2) 2
3) 3
4) 4
4 What is the degree of the polynomial
2x x
2
4x
3
?
1) 1
2) 2
3) 3
4) 4
5 What is the degree of the polynomial
5x 3x
2
1 7x
3
?
1) 1
2) 2
3) 3
4) 5
6 Which polynomial has a leading coefficient of 4
and a degree of 3?
1)
3x
4
2x
2
4x 7
2)
4 x 4x
2
5x
3
3)
4x
4
3x
3
2x
2
4)
2x x
2
4x
3
7 Students were asked to write an expression which
had a leading coefficient of 3 and a constant term of
4
. Which response is correct?
1)
3 2x
3
4x
2)
7x
3
3x
5
4
3)
4 7x 3x
3
4)
4x
2
3x
4
4
8 A student creates a fourth-degree trinomial with a
leading coefficient of 2 and a constant value of 5.
The trinomial could be
1)
2x
4
3x
2
5
2)
2x
4
5x 3
3)
4x
2
3x 5
4)
4x
3
5x
2
3
9 An expression of the fifth degree is written with a
leading coefficient of seven and a constant of six.
Which expression is correctly written for these
conditions?
1)
6x
5
x
4
7
2)
7x
6
6x
4
5
3)
6x
7
x
5
5
4)
7x
5
2x
2
6
Regents Exam Questions A.SSE.A.1: Modeling Expressions 1 Name: ________________________
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2
10 An example of a sixth-degree polynomial with a
leading coefficient of seven and a constant term of
four is
1)
6x
7
x
5
2x 4
2)
4 x 7x
6
3x
2
3)
7x
4
6 x
2
4)
5x 4x
6
7
11 Students were asked to write
2x
3
3x 4x
2
1
in
standard form. Four student responses are shown
below.
Alexa:
4x
2
3x 2x
3
1
Carol:
2x
3
3x 4x
2
1
Ryan:
2x
3
4x
2
3x 1
Eric:
1 2x
3
3x 4x
2
Which student’s response is correct?
1) Alexa
2) Carol
3) Ryan
4) Eric
12 Students were asked to write
6x
5
8x 3x
3
7x
7
in standard form. Shown below are four student
responses.
Anne:
7x
7
6x
5
3x
3
8x
Bob:
3x
3
6x
5
7x
7
8x
Carrie:
8x 7x
7
6x
5
3x
3
Dylan:
8x 3x
3
6x
5
7x
7
Which student is correct?
1) Anne
2) Bob
3) Carrie
4) Dylan
13 Which statement is correct about the polynomial
3x
2
5x 2
?
1) It is a third-degree polynomial with a constant
term of
2
.
2) It is a third-degree polynomial with a leading
coefficient of 3.
3) It is a second-degree polynomial with a
constant term of 2.
4) It is a second-degree polynomial with a leading
coefficient of 3.
14 Mrs. Allard asked her students to identify which of
the polynomials below are in standard form and
explain why.
I.
15x
4
6x 3x
2
1
II.
12x
3
8x 4
III.
2x
5
8x
2
10x
Which student's response is correct?
1) Tyler said I and II because the coefficients are
decreasing.
2) Susan said only II because all the numbers are
decreasing.
3) Fred said II and III because the exponents are
decreasing.
4) Alyssa said II and III because they each have
three terms.
15 When
(x)(x 5)(2x 3)
is expressed as a
polynomial in standard form, which statement
about the resulting polynomial is true?
1) The constant term is 2.
2) The leading coefficient is 2.
3) The degree is 2.
4) The number of terms is 2.
Regents Exam Questions A.SSE.A.1: Modeling Expressions 1 Name: ________________________
www.jmap.org
3
16 When multiplying polynomials for a math
assignment, Pat found the product to be
4x 8x
2
2x
3
5
. He then had to state the
leading coefficient of this polynomial. Pat wrote
down
4
. Do you agree with Pat's answer?
Explain your reasoning.
17 Konnor wants to burn 250 Calories while
exercising for 45 minutes at the gym. On the
treadmill, he can burn 6 Cal/min. On the stationary
bike, he can burn 5 Cal/min. If t represents the
number of minutes on the treadmill and b
represents the number of minutes on the stationary
bike, which expression represents the number of
Calories that Konnor can burn on the stationary
bike?
1)
b
2)
5
b
3)
45 b
4)
250 5b
18 To watch a varsity basketball game, spectators must
buy a ticket at the door. The cost of an adult ticket
is $3.00 and the cost of a student ticket is $1.50. If
the number of adult tickets sold is represented by a
and student tickets sold by s, which expression
represents the amount of money collected at the
door from the ticket sales?
1)
4.50a
s
2)
4.50(a
s
)
3)
(3.00a)(1.50
s
)
4)
3.00a 1.50
s
19 Bryan's hockey team is purchasing jerseys. The
company charges $250 for a onetime set-up fee and
$23 for each printed jersey. Which expression
represents the total cost of x number of jerseys for
the team?
1)
23
x
2)
23
250
x
3)
23
x
250
4)
23(
x
250)
20 Andy has $310 in his account. Each week, w, he
withdraws $30 for his expenses. Which expression
could be used if he wanted to find out how much
money he had left after 8 weeks?
1)
310
8w
2)
280
30(w
1)
3)
310w
30
4)
280
30(w
1)
ID: A
1
A.SSE.A.1: Modeling Expressions 1
Answer Section
1 ANS: 1 REF: 082208ai
2 ANS: 2
2x
3
3x
2
7x 6
REF: 082216ai
3 ANS: 3 REF: 082309ai
4 ANS: 3 REF: 062408ai
5 ANS: 3 REF: 012414ai
6 ANS: 4
4x
3
x
2
2x
REF: 012024ai
7 ANS: 4
3x
4
4x
2
4
REF: 062122ai
8 ANS: 1 REF: 082405ai
9 ANS: 4 REF: 061602ai
10 ANS: 2 REF: 062220ai
11 ANS: 3 REF: 012303ai
12 ANS: 1 REF: 061905ai
13 ANS: 4 REF: 062323ai
14 ANS: 3 REF: 061819ai
15 ANS: 2
(x
2
5x)(2x 3) 2x
3
3x
2
10x
2
15x 2x
3
7x
2
15x
REF: 081912ai
16 ANS:
No,
2
is the coefficient of the term with the highest power.
REF: 081628ai
17 ANS: 2 REF: 081712ai
18 ANS: 4 REF: 081503ai
19 ANS: 3 REF: 081901ai
20 ANS: 4 REF: 011718ai