Is 2x5 – 9x – 6 a polynomial? If

not, why not?Is 2x5 – 9x

– 6 a polynomial? If not, why not?

no; negative exponentno; negative exponent

Is – 5x2 – 6x + 8 a polynomial? If not, why not?Is – 5x2 – 6x + 8 a polynomial? If not, why not?

yesyes

Give the degree of 3x3y + 4xy and identify the type of polynomial by special name. If no special name applies, write “polynomial.”

Give the degree of 3x3y + 4xy and identify the type of polynomial by special name. If no special name applies, write “polynomial.”

4; binomial4; binomial

Give the degree of 6a4b6 and identify the type of polynomial by special name. If no special name applies, write “polynomial.”

Give the degree of 6a4b6 and identify the type of polynomial by special name. If no special name applies, write “polynomial.”

10; monomial10; monomial

Evaluate 19 – 3x when x = – 9 and y = 6.Evaluate 19 – 3x when x = – 9 and y = 6.

4646

Evaluate – 8x + y2 when x = – 9 and y = 6.Evaluate – 8x + y2 when x = – 9 and y = 6.

108108

Evaluate 2x2 + xy + y when x = – 9 and y = 6.Evaluate 2x2 + xy + y when x = – 9 and y = 6.

114114

Add (– 9x2 + 14) + (7x – 2).Add (– 9x2 + 14) + (7x – 2).

– 9x2 + 7x + 12– 9x2 + 7x + 12

Add (x2 + 5xy – 9) + (x2 – 3xy).Add (x2 + 5xy – 9) + (x2 – 3xy).

2x2 + 2xy – 92x2 + 2xy – 9

Add (– 6a2 – ab + 6b2) + (a2 + 4ab – 11b2).Add (– 6a2 – ab + 6b2) + (a2 + 4ab – 11b2).

– 5a2 + 3ab – 5b2– 5a2 + 3ab – 5b2

Add (x2 – y) + (– 7x2 + 9y2 – 8y).Add (x2 – y) + (– 7x2 + 9y2 – 8y).

– 6x2 + 9y2 – 9y– 6x2 + 9y2 – 9y

Add (14x2 – 9x) + (6x2 – 3x + 28).Add (14x2 – 9x) + (6x2 – 3x + 28).

20x2 – 12x + 2820x2 – 12x + 28

Add ( m3 + 6m2 – m + ) +

( m2 – m – 6).

Add ( m3 + 6m2 – m + ) +

( m2 – m – 6).

2929

1515

3838

3232

4545

m3 + m2 – m – m3 + m2 – m – 2929

152

152

458

458

Add (5.8x + 2.4y – 5.7) + (– 8.2y + 12.4).Add (5.8x + 2.4y – 5.7) + (– 8.2y + 12.4).

5.8x – 5.8y + 6.75.8x – 5.8y + 6.7

Find the opposite (additive inverse) of – 7x + 8.Find the opposite (additive inverse) of – 7x + 8.

7x – 87x – 8

Find the opposite (additive inverse) of 21x – 9.Find the opposite (additive inverse) of 21x – 9.

– 21x + 9– 21x + 9

Find the opposite (additive inverse) of 10a – 6b + 14.Find the opposite (additive inverse) of 10a – 6b + 14.

– 10a + 6b – 14– 10a + 6b – 14

Subtract (– 9x – 7) – 15.Subtract (– 9x – 7) – 15.

– 9x – 22– 9x – 22

Subtract 6x – (5x + 18).Subtract 6x – (5x + 18).

x – 18x – 18

Subtract (2y – 12) – y.Subtract (2y – 12) – y.

y – 12y – 12

Subtract (– 8x2 – 2x + 9) – (5x2 + 16x – 3).Subtract (– 8x2 – 2x + 9) – (5x2 + 16x – 3).

– 13x2 – 18x + 12– 13x2 – 18x + 12

Subtract (– 4a2 + 3a – 8) – (9a2 – 7).Subtract (– 4a2 + 3a – 8) – (9a2 – 7).

– 13a2 + 3a – 1 – 13a2 + 3a – 1

Multiply – 7x5(8x10).Multiply – 7x5(8x10).

– 56x15– 56x15

Multiply 9y(– 16y8).Multiply 9y(– 16y8).

– 144y9– 144y9

Multiply 3z8(8z2).Multiply 3z8(8z2).

24z1024z10

Multiply – 3x2(7x2 – x – 17).Multiply – 3x2(7x2 – x – 17).

– 21x4 + 3x3 + 51x2– 21x4 + 3x3 + 51x2

Multiply 2x4(9x2 – 3x + 5).Multiply 2x4(9x2 – 3x + 5).

18x6 – 6x5 + 10x418x6 – 6x5 + 10x4

Multiply x(– 8x5 + 13x3 + 21).Multiply x(– 8x5 + 13x3 + 21).

– 8x6 + 13x4 + 21x– 8x6 + 13x4 + 21x

Multiply – 5a2(4a4 – 9a2 + 7).Multiply – 5a2(4a4 – 9a2 + 7).

– 20a6 + 45a4 – 35a2– 20a6 + 45a4 – 35a2

Multiply (x + 8)(x – 2).Multiply (x + 8)(x – 2).

x2 + 6x – 16x2 + 6x – 16

Multiply (x – 12)(x – 3).Multiply (x – 12)(x – 3).

x2 – 15x + 36x2 – 15x + 36

Multiply (x + 5)(x – 3).Multiply (x + 5)(x – 3).

x2 + 2x – 15x2 + 2x – 15

Multiply (x – 9)(x – 6).Multiply (x – 9)(x – 6).

x2 – 15x + 54x2 – 15x + 54

Multiply (x – 10)(x + 7).Multiply (x – 10)(x + 7).

x2 – 3x – 70x2 – 3x – 70

Multiply (6x – 3)(9x – 1).Multiply (6x – 3)(9x – 1).

54x2 – 33x + 354x2 – 33x + 3

Multiply (– 4x + 6)(2x + 7).Multiply (– 4x + 6)(2x + 7).

– 8x2 – 16x + 42– 8x2 – 16x + 42

Multiply (8x + 3)(5x – 2).Multiply (8x + 3)(5x – 2).

40x2 – x – 6 40x2 – x – 6

Divide .Divide .

3x3y2 3x3y2

12x9y3

4x6y12x9y3

4x6y

Divide .Divide .

3x –

2y3x

– 2y

15x3y8

5x5y7

15x3y8

5x5y7

Divide .Divide .

8a –

3b8a

– 3b

96a6b3

12a9b2

96a6b3

12a9b2

Divide .Divide .

x3 + 4x2 x3 + 4x2

7x5 + 28x4

7x2

7x5 + 28x4

7x2

Divide .Divide .

6a3 – 2a –

4 6a3 – 2a

– 4

84a8 – 28a14a5

84a8 – 28a14a5

Divide .Divide .

2x2 – 8x + 182x2 – 8x + 18

4x5 – 16x4 + 36x3 2x3

4x5 – 16x4 + 36x3 2x3

Divide

.

Divide

.

– 40x3z – 30xy2z7 + 5y –

2z

4– 40x3z – 30xy2z7 + 5y –

2z

4

– 200x4y4z2 – 150x2y6z8 + 25xy2z5

5xy4z– 200x4y4z2 – 150x2y6z8 + 25xy2z5

5xy4z

Neil has four more quarters than dimes in his pocket. If you let d = the number of dimes, how would you represent the number of quarters?

Neil has four more quarters than dimes in his pocket. If you let d = the number of dimes, how would you represent the number of quarters?

d + 4d + 4

Jerry’s collection of nickels totals $6.40. Write an equation to find the number of nickels he has in his collection. Do not solve.

Jerry’s collection of nickels totals $6.40. Write an equation to find the number of nickels he has in his collection. Do not solve.

5x = 6405x = 640

Abe has six more quarters than nickels and five times as many dimes as quarters. If he has a total of 141 coins, how many of each coin does he have?

Abe has six more quarters than nickels and five times as many dimes as quarters. If he has a total of 141 coins, how many of each coin does he have?

15 nickels, 21 quarters, and 105 dimes

15 nickels, 21 quarters, and 105 dimes

Charity has 42 more pennies than dimes. Hope has seven times as many pennies as dimes. Both of them have the same number of dimes, and together they have $5.46.

Charity has 42 more pennies than dimes. Hope has seven times as many pennies as dimes. Both of them have the same number of dimes, and together they have $5.46.

Find the number of dimes and pennies each has.Find the number of dimes and pennies each has.

Charity: 60 pennies and 18 dimes; Hope: 126 pennies

and 18 dimes

Charity: 60 pennies and 18 dimes; Hope: 126 pennies

and 18 dimes

Dustan has $1,380. He has three times as many fives as twenties. He has six more than two times as many fifties as twenties. How many of each bill does he have?

Dustan has $1,380. He has three times as many fives as twenties. He has six more than two times as many fifties as twenties. How many of each bill does he have?

24 fives, 8 twenties, and 22 fifties

24 fives, 8 twenties, and 22 fifties

State the mathematical significance of Acts 27:22.State the mathematical significance of Acts 27:22.