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.