Name__________________________
Block_____________________
Date________________
Unit 1 Homework
Homework
Problems
Unit 1 Day 1
Polynomials,
addition/
subtraction
Part 1: Classify each as M (monomial), B (binomial), T
(trinomial), P (polynomial), or C (constant).
1).______ 2x  1
2
2).______ 17 x  11
3
2
3).______ 8 x  2 x  3 x  7
Part 2: Standard Form of Polynomials
4.) Circle the problems that are in standard form. If it
is not in standard form, re-write in standard form.
3
2
a. x  11x
________________
2
3
b. 2 3x  4 x  3x
________________
Scratch Paper area – Show
Your Work!
5. Given: 2 x3  5 x 2  2 x 12
How many terms are there? ____
What is the leading coefficient? _____
What is the coefficient of the 3rd term? ____
What is the constant? _____
Part 3: Add these polynomials. Only combine terms
that are alike (have the same exponent).
6.) 14x + 5
+10x + 5
7.) In problem 6:
How many terms does the sum contain? ___________
Identify the factors: ______________
Identify the coefficients: ____________
Identify the constant (s): ____________
8.) ( 19 x 2  12 x  12)  (7 x 2  10 x  13) =
Part 4: Subtract these polynomials.
9.) (6x + 14)
- (9x + 5)
10.) (17x2 + 7x - 14) - (-6x2 - 5x - 18) =
In problem 10, how many terms does the simplified
difference contain? ________________ term(s)
11) (-2x2 – 5x + 12) – (x2 + 3x + 12) =
In problem 11, how many terms does the simplified
difference contain?__________ term(s)
12) ***Post a writing assignment in Canvas (see
Canvas for instructions on the assignment.)
1
Name__________________________
Block_____________________
Homework
Problems
Unit 1 Day 2
Multiplying
Polynomials
Part 1: Multiplying Monomials
1.) 2 x(4 x 2 ) =
Date________________
Scratch Paper area – Show
Your Work!
2.)  3x3 (4 x 2 ) =
3.) 17 x 2 (2 x5 ) =
4.)  12 x 2 (2 x) =
−12 𝑥 3
4𝑥
5) **(
– 3)(5x + 7)
Part 2: Multiplying Binomials and indicate in the
space provided, how many terms the product
contains; show your work in the column to the right:
Unit 1 Day 3
Simplifying
Radicals
(Square
Roots),
adding,
subtracting,
and
multiplying
1.) (x + 2) (-x + 3) =
________ term(s)
2.) (2x - 5) (x - 15) =
___________ term(s)
3.) (5x - 11) (5x - 11) =
___________ term(s)
4.) (6x + 22) (-10x + 5) =
___________ term(s)
5.) (11x - 2) (11x + 2) =
___________ term(s)
Perform the following operations with
radicals/simplify (write your answer in the space
provided; show your work in the column to the right):
1.)−√3 − √3 + 2√3
6.) −√3 + 2√3
____________
2.) −3√5 − 3√5
____________
7.) −2√2 − 2 √2
____________
3.) −3√2 ∙ 2√3
____________
8.) −3√6 ∙ √3
____________
4.) −√5 + √45
____________
9.) 12 ∙ √7
____________
5.) −√5 ∙ √45
____________
____________
10.)* √4𝑥 6 𝑦 8
____________
2
Name__________________________
Homework
Problems
Unit 1 Day 4
Review of
polynomials
and radicals
(continued
on next
page)
Simplify:
1.) 2√6 + 5√6
Block_____________________
Date________________
Scratch Paper area – Show
Your Work!
Remember to show your
work here!
7√12
10√36
7√6
10√6
A.
B.
C.
D.
2.) √12 ∙ √3
A.
B.
C.
D.
√15
√6
√36
6.
3.) √8 ∙ √8
A.
B.
C.
D.
4.) *
64
16
8
4
12√40
2√10
A. 24
B. 12
C. 10√4
D. 6√2
5.) √6 + √3
A.
B.
C.
D.
2
2√3
3√3
None of the above.
6.) 4√28 − √7
A.
B.
C.
D.
7√7
9√7
15√7
None of the above.
3
Name__________________________
Block_____________________
Date________________
7.) 3√3 ∙ 3√4
A.
B.
C.
D.
9√3
18√7
18√3
9√12
3√14
√7
8.)* 15
A. 5√7
B. 5√2
√7
5
√2
D. 5
C.
For problems 9-12, perform the indicated operations.
Justify your answer by showing your work in the
column to the right.
9.) (3x - 9) (3x – 9) =
10.) (3x - 9) (3x + 9) =
11.) (-x2 + x - 6) - (x2 + x + 6) =
12.) -2x2 + 3x – 6x2 – 16x + 7 =
13.) Compare problems 9 and 10. What do you
notice? Write your conclusion:
_________________________________________
_________________________________________
_________________________________________
_________________________________________
_________________________________________
_________________________________________
_________________________________________
14)*** See if you can fill in the blanks:
(x2 - x – 6) = (⧠ − ⧠ )(⧠ + ⧠)
4
Name__________________________
Homework
Unit 1 Day 5
Rational or
Irrational?
Block_____________________
Problems
Date________________
Scratch Paper area – Show
Your Work!
1.) Which is an example of the sum of a rational
number and irrational number being
irrational? Explain.
𝜋
A.
𝜋
B. √3 + √4
C. 4 + √36
D. √3 + 𝜋
2.) Which is an example of the product of a
rational number and an irrational number
being irrational? Explain.
A. √16 ∙ 𝜋
B. √3 ∙ √3
C. √3 ∙ √5
D. 3 ∙ 5
For problems 3-10, specify where the product/sum
will be a rational or irrational number. Explain why.
3.) √16 + √36
_____________________
4.) √12 ∙ √3
____________________
5.) √8 ∙ √8
____________________
6.) √6 + √3
____________________
7.) 6 − √3
_____________________
8.) 6 + 3
______________________
9.) √28 − √4
______________________
10.) 28 − √4
______________________
11.) The perimeter of a rectangle is a rational number.
The length of a rectangle is 6 units. The width of a
rectangle must be a/an __________________
number.
(rational/ irrational)
12.) **
3
√7
·
2
√7
=
5
Name__________________________
Block_____________________
Homework
Problems
Unit 1 Day 6
Unit
Analysis
(unit
conversions)
Use unit analysis to solve the following problems.
Date________________
Scratch Paper area – Show
Your Work!
Express your answers in scientific notation when necessary.
1.) Convert 83 cm into meters.
2.) Convert 459 L into milliliters.
3.) Convert 2.5 mm to micrometers.
4.) Convert 12 yards to feet.
5.) Convert 10 hours to seconds.
6.) Convert 15 quarts to pints.
7.) Convert 2.0 miles to inches.
8.) Convert $25 to dimes
9.) Convert 10 weeks into minutes
10.) Convert 0.00378 kg into grams.
11).Convert 12.1 mm into centimeters.
12.) Convert 6.8 gallons into milliliters.
13.) A chemical costs $5.25 per pound. What would be
the cost of 10.0 kg of the chemical?
14.) Arrange the following from shortest to longest:
a. a 1.21 m chain b. a 75 inch rope c. a 3 ft-5 in
rattlesnake
d. a yardstick
_____, ______, _______, _______
15.) Write down your height (in feet and inches):
__________________
a. Determine your height in inches.
_________________________
b. Determine your height in centimeters.
____________________
c. Determine your height in yards.
__________________________
d. Determine your height in miles (write your answer in
scientific notation)._______________________________
6
Name__________________________
Block_____________________
Date________________
7