(18t^4 - 4t^2 + 10t) + (4t^4 - 10t + 27) - (10t^4 + t2 + 18)
Answers:
Question 1 options:
A) 12t^4 - 5t^2 + 9
B) 24t^4 - 5t^2 + 20t - 9
C) 9t^4 + 9
D) 32t^4 - 5t^2 + 45
The answer is B) 24t^4 - 5t^2 + 20t - 9.
Write the polynomial in descending order.
16x + 7x^3 + 10x^2 + 5x^5 + 1
Question 2 options:
A) 16x + 10x^2 + 7x^3 + 5x^5 + 1
B) It is already in descending order.
C) 1 + 16x + 10x^2 + 7x^3 + 5x^5
D) 5x^5 + 7x^3 + 10x^2 + 16x + 1
What is the degree of the polynomial?
3x^3y^4 - 7x^6 + 3y^3
Question 3 options:
A) 4
B) 7
C) 6
D) 12
Subtract the polynomials.
(-4a^2b + 3ab^2 + ab) - (2a^2b - 3ab^2 - 5ab)
Question 4 options:
A) 2a^2b + 6ab^2 - 4ab
B) -6a^4b^2 - 4a^2b^2
C) -6a^2b + 6ab^2 + 6ab
D) -6a^2b - 4ab
The polynomial in descending order is D) 5x^5 + 7x^3 + 10x^2 + 16x + 1.
The degree of the polynomial is 5.
The subtraction of the polynomials is C) -6a^2b + 6ab^2 + 6ab.
What is the degree of the polynomial?
3x^3y^4 - 7x^6 + 3y^3
Question 3 options:
A) 4
B) 7
C) 6
D) 12
The degree of the polynomial 3x^3y^4 - 7x^6 + 3y^3 is 6.
The correct option is C) 6.
Categorize the expression as a monomial, a binomial, or a trinomial.
7z + 13z^2 - 15
Question 5 options:
A)
trinomial
B)
binomial
C)
monomial
The expression 7z + 13z^2 - 15 is a trinomial.
The correct option is A) trinomial.
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 6 options:
A)
7a^3 - 23
B)
5a^2 + 2a - 23
C)
(a^2 + a)(2a^2 - 18)(2a^2 + a - 5)
D)
5a^6 + 2a^2 - 23
The polynomial that represents the perimeter of the figure is B) 5a^2 + 2a - 23.
Solve the inequality.
8x > 144
Question 7 options:
A)
{x | x > 18}
B)
{x | x ≥ 18}
C)
{x | x < 18}
D)
{x | x ≤ 18}
To solve the inequality 8x > 144, we divide both sides of the inequality by 8:
x > 144/8
x > 18
So, the solution to the inequality is A) {x | x > 18}.
Add the polynomials.
(5x^3y^2 + 10xy + 14) + (2xy - 2x^3y^2 - 5)
Question 8 options:
A) 7x^3y^2 + 8xy + 9
B) 3x^3y^2 + 12xy + 9
C) 15x^4y^3 + 9
D) 3x^6y^4 + 12x^2y^2 + 9
The answer is B) 3x^3y^2 + 12xy + 9.
What is the degree of the polynomial?
15x^4 - 16x^2 + 16x
Question 9 options:
A)
4
B)
15
C)
3
D)
16
The degree of the polynomial 15x^4 - 16x^2 + 16x is 4.
The correct option is A) 4.
Find the slope of the line that passes through the points.
(-1, 8) and (-3, 4)
Question 10 options:
A)
(1/2)
B)
2
C)
- 2
D)
- 3
To find the slope of a line passing through two points, we will use the formula:
slope = (y2 - y1) / (x2 - x1)
Using the given points (-1, 8) and (-3, 4), we can plug the values into the formula:
slope = (4 - 8) / (-3 - (-1))
slope = -4 / (-3 + 1)
slope = -4 / (-2)
slope = 2
Therefore, the slope of the line that passes through the points (-1, 8) and (-3, 4) is B) 2.
Solve the equation.
5(y + 3) = 6(y - 6)
Question 11 options:
A)
21
B)
-21
C)
51
D)
-51
To solve the equation 5(y + 3) = 6(y - 6), we need to distribute and simplify on both sides:
5y + 15 = 6y - 36
Next, we can isolate the variable by subtracting 5y from both sides:
15 = y - 36
Finally, we can solve for y by adding 36 to both sides:
15 + 36 = y
y = 51
Therefore, the solution to the equation is C) 51.
What is the leading coefficient of -3 + 2y - 5y^2 + 8y^4?
Question 12 options:
A)
8
B)
4
C)
-3
D)
3
The leading coefficient is the coefficient of the term with the highest degree. In this case, the term with the highest degree is 8y^4, and its coefficient is 8.
Therefore, the leading coefficient of -3 + 2y - 5y^2 + 8y^4 is A) 8.