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Unit 2 Questions ( To Be Complete On Separate Paper)
Week 1 Problems
(A) Block
[1.A.1] Rewriting Polynomials
Determine the model representing the total number of
Write the polynomial descending order.
grapes,
3
5
6 x −6 x +4x −2
[1.A.2]
n , sold from 1992 through 1996.
[1.A.6] Definitions
Explain the meaning of the words monomial, binomial, and
Degree makes you work
Find the degree of the polynomial of the following
trinomial. Give an example of each.
polynomial. Justify your answer.
[1.A.7] More Simplification
4
3
−3 x +2 x +7
Simplify the following expression
( 6 b3 +3b 2+8 )−( 2 b3−8 b2 6 b−5)
[1.A.3] Duck Duck Goose!
For each of the following, decide if the expression is a
[1.A.8] Errors!
polynomial. If it is not a polynomial, state why it is not a
Melissa found the sum of
polynomial.
(a) g+4 − g
g−2
(b) 1 g 3+ g+3
−3
2
4
(c) g−4 − g
2
(d)
2
4
3
4
4 g −g +2 g +3
[1.A.4] It's Simple
( 5 q +4 )−( 2q
3
6 x 3+5+7 x to be 11 x 2+6 x+8 .
(a) Is her answer correct? If not, what is the correct
answer?
(b) What error does it appear that Melissa made in
adding the polynomials?
[1.A.9] It's a home row!
Simplify the following expression.
5
2
5 x +x +1 and
+9 )+( 6 q −q
5
3
Write a function that describes the number of square for the
)
n-th figure in the sequence.
[1.A.5] Grapes
During the years 1992 through 1996, the average number of
green grapes,
g , sold at a farmer's market can be
modeled by
2
g =−0.14 t +1.4 t+46.62 . The average
number of red grapes, r , sold by the farmer's market
can be modeled by
2
r =0.005 t −0.698 t+75.06 .
(B) Block
[1.B.1] Yard Work
The diagram shows a lot in a housing plan.
(a) Write an expression that shows the area of the yard.
(b) The area not labeled is the driveway. Write an
expression that shows the area of the driveway.
[1.A.10] Terms Terms Terms
Calculate the fifth and sixth terms of each sequence
2
(a)
a n=n +3 n
(b)
a n=n +n
3
[1.B.2] I got you covered
Which of the following models represents the product of
(D)
( x+2 ) and ( x−4 ) ?
(pick one answer option from A-D)
[1.B.3] Table It!
(A)
What is the product of the polynomials represented in the
multiplication table?
(B)
.
x
7
x
x
2
7x
4
4x
28
[1.B.4] Products
Write an equivalent expression for the expression
( x−2 )( x−1 ) .
[1.B.5] More Products
(C)
( x 4−2 x+8 )( x 3+6 x )
Find the product of
[1.B.6] Secret IDENTITY
You are given two numbers, a and b. You are asked to find
the product
( a−b )2 .
(a) Show a box-area model for an equivalent
expression to this problem.
(b) Use the expression found in part (a) to find the
expression
( 8−x )2
(C) Block
[1.C.1] Split it up
[1.C.4] Division Division Division
Calculate the quotient
Divide
( x 2−12 x+27)÷( x −3)
[1.C.2] Division galore
Write an equivalent expression to that divides
x 2− x−56 by x 2 .
2
4 x −11 by −3+2 x
[1.C.5] And yet more division
Write an equivalent expression for the expression
(x 2−3 x−10)÷( x+5)
[1.C.6] Summation
[1.C.3] More division
(a) Find the sum of all the integers from 1 to 504.
Perform the following operation
(b) Find the sum of all the integers from 1 to 13
( x 2−2 x+1)÷( x−1)
(c) Find the sum of all the integers from 1 to 213
(d) Find the sum of all the integers from 1 to 618