Question

Add the polynomials.
(7x^3y^2 + 14xy + 14) + (3xy - 2x^3y^2 - 7)
Question 1 options:
A) 5x^3y^2 + 17xy + 7

B) 22x^4y^3 + 7

C) 10x^3y^2 + 12xy + 7

D) 5x^6y^4 + 17x^2y^2 + 7

Answer
Categorize the expression as a monomial, a binomial, or a trinomial.
7z + 13z^2 - 15
Answer
Subtract the polynomials.
(-4a^2b + 3ab^2 + ab) - (2a^2b - 3ab^2 - 5ab)
Question 3 options:
A) -6a^4b^2 - 4a^2b^2

B) 2a^2b + 6ab^2 - 4ab

C) -6a^2b - 4ab

D) -6a^2b + 6ab^2 + 6ab

Answer
What is the degree of the polynomial?
3x^5y^4 - 7x^6 + 3y^3
Question 4 options:
A) 9

B) 20

C) 6

D) 5

Answer
Find a polynomial that represents the perimeter of the figure below.

(a) with superscript (2) + a 2(a) with superscript (2) + a - 5 2(a) with superscript (2) - 18
Question 5 options:

A)

7a^3 - 23

B)

(a^2 + a)(2a^2 - 18)(2a^2 + a - 5)

C)

5a^2 + 2a - 23

D)

5a^6 + 2a^2 - 23
Answer
Solve the equation.

3(y + 4) = 4(y - 4)
Question 6 options:

A)

-4

B)

4

C)

28

D)

-28
Answer
Find the slope of the line that passes through the points.

(8, 4) and (-8, -7)
Answer
Perform the indicated operations.
(11t^4 - 10t^2 + 4t) + (10t^4 - 4t + 27) - (4t^4 + t^2 + 11)
Question 8 options:
A) 8t^4 + 16

B) 25t^4 - 11t^2 + 38

C) 17t^4 - 11t2 + 16

D) 5t^4 - 11t2 + 8t - 16

Answer
What is the leading coefficient of -3 + 2y - 5y^2 + 8y^4?
Question 9 options:
A) -3

B) 3

C) 8

D) 4

Answer
Solve the inequality.

4x > 68



Answer
Write the polynomial in descending order.
20x + 6x^3 + 12x^2 + 5x^5 + 1
Question 11 options:
A) 20x + 12x^2 + 6x^3 + 5x^5 + 1

B) 1 + 20x + 12x^2 + 6x^3 + 5x^5

C) It is already in descending order.

D) 5x^5 + 6x^3 + 12x^2 + 20x + 1

Answer
What is the degree of the polynomial?
15x^4 - 18x^2 + 10x
Question 12 options:

A)

15

B)

4

C)

3

D)

10
Answered by GPT 3.5
The correct answer is C) 10x^3y^2 + 12xy + 7
Answered by GPT 3.5
The expression is a trinomial.
Answered by GPT 3.5
The correct answer is C) -6a^2b - 4ab
Answered by GPT 3.5
The degree of the polynomial is 6. The highest exponent in the polynomial is 6 (in the term -7x^6), which determines the degree. The answer is therefore C) 6.
Answered by GPT 3.5
The polynomial that represents the perimeter of the figure is B)
(a^2 + a)(2a^2 - 18)(2a^2 + a - 5)
Answered by GPT 3.5
To solve the equation 3(y + 4) = 4(y - 4), we can start by simplifying both sides of the equation:

3(y + 4) = 4(y - 4)
3y + 12 = 4y - 16

Next, we can isolate the variable y by subtracting 3y from both sides of the equation:

12 = y - 16

To isolate the variable y, we can add 16 to both sides of the equation:

12 + 16 = y

Simplifying the equation gives us:

28 = y

Therefore, the solution to the equation is C) 28.
Answered by GPT 3.5
To find the slope of the line that passes through the points (8, 4) and (-8, -7), we can use the formula for slope:

m = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Plugging in the coordinates, we get:

m = (-7 - 4) / (-8 - 8)
m = -11 / -16

Simplifying the equation, we get:

m = 11/16

Therefore, the slope of the line is 11/16.
Answered by GPT 3.5
To perform the indicated operations, we can combine like terms:

(11t^4 - 10t^2 + 4t) + (10t^4 - 4t + 27) - (4t^4 + t^2 + 11)
= 11t^4 + 10t^4 - 4t^4 - 10t^2 - t^2 + 4t - 4t + 27 - 11

Combining like terms, we get:

= 17t^4 - 11t^2 + 8t + 16

Therefore, the correct answer is D) 17t^4 - 11t^2 + 8t + 16.
Answered by GPT 3.5
The leading coefficient is the coefficient of the highest degree term in the polynomial. In this case, the term with the highest degree is 8y^4. Therefore, the leading coefficient is 8.

The correct answer is C) 8.
Answered by GPT 3.5
To solve the inequality 4x > 68, we can divide both sides of the inequality by 4:

4x/4 > 68/4
x > 17

Therefore, the solution to the inequality is x > 17.
Answered by GPT 3.5
To write the polynomial in descending order, we arrange the terms in decreasing order of their exponents.

The polynomial 20x + 6x^3 + 12x^2 + 5x^5 + 1 can be rearranged as:

5x^5 + 6x^3 + 12x^2 + 20x + 1

Therefore, the correct answer is D) 5x^5 + 6x^3 + 12x^2 + 20x + 1.
Answered by GPT 3.5
The degree of a polynomial is determined by the highest exponent of the variable. In this case, the highest exponent is 4, so the degree of the polynomial 15x^4 - 18x^2 + 10x is 4.

Therefore, the correct answer is B) 4.