polynomials definition...4 | p a g e r a m i r e z e - l e a r n i n g p a c k e t d a y 2 1 - 30...

Name:_____________________________Date:___________________________Period:__________

1 | P a g e R a m i r e z e - L e a r n i n g P a c k e t D a y 2 1 - 3 0

Day 21

Polynomials Definition

Learning Goals Learning Goal: I can classify polynomials by degree and number of terms. Learning Goal: I can add, subtract, and multiply polynomials.

Part 1: Vocabulary Matching – Match each word or phrase with its correct definition. Write the corresponding letter on the line next to the word or phrase.

1. Monomial ________

2. Trinomial _______

3. Cubic _______

4. Linear _______

5. Polynomial _______

6. Standard Form _______

7. Constant _______

8. Binomial _______

9. Degree _______

10. Quadratic ________

A. The form in which polynomials are written

in order from the highest exponent term descending to the constant term

B. The highest exponent in a polynomial

C. A polynomial containing 1 term

D. A polynomial of degree 3

E. A polynomial of degree 0

F. A polynomial containing 3 terms

G. A polynomial containing 4 or more terms

H. A polynomial of degree 2

I. A polynomial containing 2 terms

J. A polynomial of degree 1

Name:_____________________________Date:___________________________Period:__________


Day 22

Classifying Polynomials

Part 2: Multiple Choice – Circle the letter that represents the correct answer for each question.

1. 3𝑥3 can be classified as __________ by degree. A. Constant B. Linear C. Quadratic D. Cubic

2. −4𝑥2 − 8𝑥 can be classified as ________________ by number of terms. A. Monomial B. Binomial C. Trinomial D. Polynomial

3. 7𝑎3 − 4𝑎2 − 2𝑎 + 1 can be classified as a ________________ ___________. A. Constant polynomial B. Quadratic binomial C. Cubic polynomial D. Linear trinomial

4. −2𝑥2 + 11𝑥 + 1 can be classified as a ________________ ________. A. Quadratic trinomial B. Cubic trinomial C. Linear monomial D. Constant binomial

5. Which polynomial is in standard form? A. -9x – 3x2 B. -4x + 8 C. -4x + 8x2 D. 10 – x3

6. Which polynomial is NOT in standard form? A. -8x – 4 B. -12x2 + 4x – 8 C. 22x – 4x2 D. -9x2 + 2

Name:_____________________________Date:___________________________Period:__________


Day 23

Adding and Subtracting Polynomials

Part 3: Adding and Subtracting Polynomials – Add or subtract the following polynomials. Make sure that your final answers are in standard form.

1. (𝑥2 − 3𝑥 + 5) + (−2𝑥2 + 11𝑥 + 1)

2. (8𝑦3 − 7𝑦2 + 𝑦) − (9𝑦2 − 5𝑦 + 7)

3. (9𝑥 + 6𝑥3 − 8𝑥2) + (−5𝑥3 + 6𝑥)

4. (3𝑛2 − 4𝑛 + 1) − (8𝑛2 − 4𝑛 + 17)

Name:_____________________________Date:___________________________Period:__________


Day 24

Multiplying Polynomials

Part 4: Multiplying Polynomials – Multiply the following polynomials. Make sure that your final answers are in standard form.

1. (x + 4) (x – 9)

2. 4x(-3x2)

3. 2x2 (3x2 – 3x)

4. (x + 4)(x – 6)

5. (3𝑔 + 6)(2𝑔 − 5) 6. 5x (2x + 7)

7. (𝑎 + 1)(4𝑎 − 3)

8. 2x3 (3x2)

Name:_____________________________Date:___________________________Period:__________


Day 25 Polynomial Terms

Part 1: Multiple Choice – Circle the letter that represents the correct answer for each

question.

6. 3𝑥3 can be classified as __________ by degree.

E. Constant

F. Linear

G. Quadratic

H. Cubic

7. −4𝑥2 − 8𝑥 can be classified as

________________ by number of

terms.

E. Monomial

F. Binomial

G. Trinomial

H. Polynomial

8. 7𝑎3 − 4𝑎2 − 2𝑎 + 1 can be classified as a

________________ ___________.

E. Constant polynomial

F. Quadratic binomial

G. Cubic polynomial

H. Linear trinomial

9. −2𝑥2 + 11𝑥 + 1 can be classified as a

________________ ________.

E. Quadratic trinomial

F. Cubic trinomial

G. Linear monomial

H. Constant binomial

10. Which polynomial is in standard form?

E. -9x – 3x2

F. -4x + 8

G. -4x + 8x2

H. 10 – x3

6. Which polynomial is NOT in

standard form?

A. -8x – 4

B. -12x2 + 4x – 8

C. 22x – 4x2

D. -9x2 + 2

7. Write the polynomial in standard form.

Then name the polynomial based on its

degree and number of terms.

2 – 11x2 – 8x + 6x2

A. –5x2 – 8x + 2; quadratic trinomial

B. 5x2 – 8x – 2; quadratic trinomial

C. –6x2 – 8x – 2; cubic polynomial

D. 6x2 – 8x + 2; cubic trinomial

8. Write the polynomial in standard form.

4g – g3 + 3g2 – 2

A. –2 + 4g + 3g2 – g3

B. g3 – 3g2 + 4g – 2

C. 3g3 – g2 + 4g – 2

D. –g3 + 3g2+ 4g – 2

9. Determine the degree of the polynomial:

7m6n5

A. 5

B. 11

C. 6

D, 7

10. Match the expression with its name.

6x3 – 9x + 3

A. Cubic; trinomial

B. Fourth-degree, monomial

C. Quadratic; binomial

D. Not a polynomial

Name:_____________________________Date:___________________________Period:__________


Day 26 Revisiting the Concept of Exponents

Directions: Fill in your answer on the bubble sheet provided

1) What is the value of 30 ?

(A) 0 (B) 3 (C) 1 (D) 30

2) Which expression is equivalent to 73 · 75 ?

(A) 78 (B) 498 (C) 715 (D) 4915

3) Which expression is equivalent to 815

83 ?

(A) 15 (B) 85 (C) 112 (D) 812

4) Which expression is equivalent to (56)2 ?

(A) 512 (B) 54 (C) 58 (D) 53

5) Which value is equivalent to 23 · 33 · 90 ?

(A) 0 (B) 216 (C) 125 (D) 1,944

6) Which expression is equivalent to 208 ÷ 202 ?

(A) 4 · 20 (B) 204 (C) 6 · 20 (D) 206

7) x12 ∙ x10 is equivalent to

(A) x120 (B) x22 (C) 2x22 (D) 2x120

8) t25 divided by t5 is equivalent to

(A) t20 (B) 2t125 (C) t5 (D) t30

Name:_____________________________Date:___________________________Period:__________


9) (5a3b7)0 can be simplified to

(A) 1 (B) 5 (C) 50a30b70 (D) a3b7

10) (m6n4)3 is equivalent to

(A) m9n7 (B) 3m18n12 (C) m18n12 (D) mn13

11) The expression 263 )6( yx is equivalent to

(A) 12636 yx (B) 12612 yx (C) 8536 yx (D) 1266 yx

12) The product of and is

(A) 8x8 (B) 12x8 (C) 12x15 (D) 8x15

13) The product of 23x y and 3-4xy is

(A) 3 4-12x y (B) 2 3-12x y (C) 3 412x y (D) 2 312x y

14) What is the product of yx 2

3

1 and ?6

1 3xy

(A) 32

2

1yx (B) 32

18

1yx (C) 43

9

1yx (D) 43

18

1yx

15) Which equation represents 18 5

6

27

9

x y

x y in simplest form?

(A) 12 43x y (B) 12 418x y (C) 3 53x y (D) 3 518x y

16) Which expression will make the equation (43)(47)

? = 42 true?

(A) 168 (B) 419 (C) 48 (D) 1619

17) The expression is equivalent to

(A) 279 (B) 39 (C) 2724 (D) 324

Name:_____________________________Date:___________________________Period:__________


Day 27 – Reviewing Equations

Instructions: Solve each equation inside each quadrant to get the value of x. Then add ALL the four

values of x and write the answer in the center. First Quadrant is done for you. The ANSWER in the center

SUM = 1 Now do the math. Show your work for each quadrant.

1.

Show your work for each quadrant.

Name:_____________________________Date:___________________________Period:__________



4.


Name:_____________________________Date:___________________________Period:__________


Day 28 -Diagnosing Equation

The working on Each of these 5 clipboards has a problem ! Literally. You have to identify the problem by

circling the incorrect step(s) and writing besides it what the problem is. THEN solve it correctly in the

space below.

.

Name:_____________________________Date:___________________________Period:__________


Day 29 –Problems Involving Equations

Name:_____________________________Date:___________________________Period:__________


Day 30- Reviewing Equations and Inequalities

____ 1. The table shows the cost of renting a moving truck from U-Move-It based on the number of

hours the truck is rented.

Number of Hours

Rented Rental Charge

1 $49

2 $65

3 $81

4 $97

5 $113

Which expression represents the cost in dollars of renting this truck for t hours?

a. 49 + 16(t − 1)

b. 16t

c. 49 + 16t

d. 49 + 16(t + 1)

____ 2. What is a number that when you multiply it by 6 and you subtract 4 from the product, you get

50?

a.

b. 9

c. 14

d. 324

____ 3. Mia ordered five DVDs, all at the same price, from an online retailer. There was a shipping

charge of $14.50 for the complete order but no sales tax. If Mia’s total charge for her order was

$79.45, what was the price of each DVD?

a. $18.79

b. $15.89

c. $12.99

d. $16.24

Name:_____________________________Date:___________________________Period:__________


____ 4. Molly and George earned 352 points together. Molly has half the number of points as George.

Which equation could represent this situation? Let g represent the number of points George

earned.

a. g + 2g = 352

b.

c.

d.

____ 5. Which graph represents the solution to the inequality 3x − 5 − 11?

a.

b.

c.

d.

____ 6. Which is a solution of the equation 5(x − 8) + 26 = −9?

a. x = 3

b. x = 13

c. x = −3

d. x = −9.4

____ 7. Angel and DJ assembled 45 fence sections between them. Angel assembled twice as many fence

sections as DJ. Let f represent the number of fence sections DJ assembled. Which picture best

represents the situation?

a.

b.

c.

d.

Name:_____________________________Date:___________________________Period:__________


____ 8. Which is a solution of the equation 8x − 9 = −41?

a. x = 4

b. x = −4

c. x = −6.25

d. x = 6.25

____ 9. Which inverse operations would you use to solve the equation ?

a. Add 8 to each side and then divide each side by 5.

b. Add 8 to each side and then multiply each side by 5.

c. Subtract 8 from each side and then multiply each side by 5.

d. Multiply each side by 5 and then add 8 to each side.

____ 10. Which graph represents the solution to −2 3x + 1?

a.

b.

c.

d.

____ 11. Francesca bought a dress to wear to a wedding. The sales tax for the dress is 6. She also paid

$35, which was not taxed, to have the dress altered. If Francesca paid the store a total of $126.16,

which equation can be solved to determine the price of the dress?

a. d + 1.06d + 35 = 126.16

b. 1.06(d + 35) = 126.16

c. 0.06(d + 35) = 126.16

d. d + 0.06d + 35 = 126.16

____ 12. Kelly and Rachel collected 193 pounds of newspaper between them. Kelly collected 35 pounds

more than Rachel. How many pounds of newspaper did each girl collect?

a. Kelly: 79 pounds; Rachel: 114 pounds

b. Kelly: 114 pounds; Rachel: 149 pounds

c. Kelly: 114 pounds; Rachel: 79 pounds

d. Kelly: 149 pounds; Rachel: 114 pounds

Name:_____________________________Date:___________________________Period:__________


____ 13. Use the pan balance to determine the number of squares that will balance 1 rectangle.

a. 1

b. 2

c. 5

d. 13

____ 14. Which equation verifies the solution to the equation −48 = −7x − 13?

a. −48 = −7(5) − 13

b. −48 = −7(−5) − 13

c. −48 = 7(−5) − 13

d. 48 = 7(5) + 13

____ 15. What is the solution of the equation 4x + 12 = 48?

a. 9

b. 15

c. 144

d. 240

____ 16. Which is the solution to ?

a. x − 12

b. x − 12

c. x 7

d. x 7

____ 17. What steps could you use to solve the equation 5(3x − 2) = 9x + 8?

a. Subtract 3x from each side. Then, add 2 to each side. Finally, divide both sides by 6.

b. Use the Distributive Property to remove parentheses on the left. Then, subtract 9x from

each side. Then, subtract 8 from each side. Finally, divide both sides by 3.

c. Use the Distributive Property to remove parentheses on the left. Then, subtract 9x from

each side. Then, add 10 to each side. Finally, divide both sides by 6.

d. Use the Distributive Property to remove parentheses on the left. Then, subtract 9x from

each side. Then, add 2 to each side. Finally, divide both sides by 3.

Name:_____________________________Date:___________________________Period:__________


____ 18. Which is the solution to −7x 49?

a. x 7

b. x 7

c. x – 7

d. x −7

____ 19. Melissa bought 3 loaves of freshly baked bread at a specialty bread shop. She paid twice as much

for the whole grain bread as for the French bread, and $2.50 more for the cinnamon raisin bread

than for the whole grain bread. She spent a total of $11.25 for the 3 loaves. If f represents the

price of a loaf of French bread, which equation describes this situation?

a. f + f + (f + 2.50) =11.25

b. f + 2f + (f + 2.50) = 11.25

c. 2f + 2.50 = 11.25

d. f + 2f + (2f + 2.50) = 11.25

____ 20. A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent

concert, 1020 tickets were sold. There were twice as many balcony tickets sold as gallery tickets,

and 225 more main floor tickets than balcony tickets. If g represents the number of gallery

tickets sold, which picture represents this situation?

a.

b.

c.

d.

polynomials definition...4 | p a g e r a m i r e z e - l e a r n i n g p a c k e t d a y 2 1 - 30...

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