Q. Solve for x: 5x + 2 = 17.
Solution
Subtract 2 from both sides: 5x = 15. Then divide by 5: x = 3.
Correct Answer:
B
— 3
Learn More →
Q. What is the degree of the polynomial 3x^4 - 5x^2 + 2?
Solution
The degree of a polynomial is the highest power of the variable. Here, the highest power is 4, so the degree is 4.
Correct Answer:
B
— 4
Learn More →
Q. What is the degree of the polynomial 3x^4 - 5x^3 + 2x - 7?
Solution
The degree of a polynomial is the highest power of the variable. Here, the highest power is 4, so the degree is 4.
Correct Answer:
C
— 4
Learn More →
Q. What is the leading coefficient of the polynomial 4x^3 - 2x^2 + 7?
Solution
The leading coefficient is the coefficient of the term with the highest degree. Here, it is 4.
Correct Answer:
A
— 4
Learn More →
Q. What is the leading coefficient of the polynomial 4x^3 - 2x^2 + x - 7?
Solution
The leading coefficient is the coefficient of the term with the highest degree. Here, the leading term is 4x^3, so the leading coefficient is 4.
Correct Answer:
A
— 4
Learn More →
Q. What is the product of the roots of the polynomial x^2 + 3x + 2?
Solution
The product of the roots of a quadratic equation ax^2 + bx + c = 0 is given by c/a. Here, 2/1 = 2.
Correct Answer:
A
— 2
Learn More →
Q. What is the result of factoring the polynomial x^2 - 9?
-
A.
(x - 3)(x + 3)
-
B.
(x - 9)(x + 1)
-
C.
(x + 3)(x + 3)
-
D.
x(x - 9)
Solution
x^2 - 9 is a difference of squares, which factors to (x - 3)(x + 3).
Correct Answer:
A
— (x - 3)(x + 3)
Learn More →
Q. What is the solution set for the inequality 2x - 4 < 6?
-
A.
x < 5
-
B.
x > 5
-
C.
x < 2
-
D.
x > 2
Solution
Add 4 to both sides: 2x < 10. Then divide by 2: x < 5.
Correct Answer:
A
— x < 5
Learn More →
Q. What is the solution set for the inequality 2x - 5 < 3?
-
A.
x < 4
-
B.
x > 4
-
C.
x < 2
-
D.
x > 2
Solution
Add 5 to both sides: 2x < 8. Then divide by 2: x < 4.
Correct Answer:
A
— x < 4
Learn More →
Q. What is the solution set for the inequality 3x - 4 < 5?
-
A.
x < 3
-
B.
x > 3
-
C.
x < 1
-
D.
x > 1
Solution
Add 4 to both sides: 3x < 9. Then divide by 3: x < 3.
Correct Answer:
A
— x < 3
Learn More →
Q. What is the solution to the inequality 3x - 5 < 4?
-
A.
x < 3
-
B.
x > 3
-
C.
x < 2
-
D.
x > 2
Solution
Add 5 to both sides: 3x < 9. Then divide by 3: x < 3.
Correct Answer:
A
— x < 3
Learn More →
Q. What is the sum of the roots of the polynomial x^2 - 4x + 4?
Solution
The sum of the roots of a quadratic equation ax^2 + bx + c is given by -b/a. Here, -(-4)/1 = 4.
Correct Answer:
B
— 4
Learn More →
Q. What is the sum of the roots of the polynomial x^2 - 5x + 6?
Solution
The sum of the roots of a quadratic equation ax^2 + bx + c is given by -b/a. Here, -(-5)/1 = 5.
Correct Answer:
A
— 5
Learn More →
Q. Which inequality represents the solution set for x + 4 < 10?
-
A.
x < 6
-
B.
x > 6
-
C.
x ≤ 6
-
D.
x ≥ 6
Solution
To solve the inequality, subtract 4 from both sides: x < 6.
Correct Answer:
A
— x < 6
Learn More →
Q. Which of the following is the standard form of a quadratic equation?
-
A.
ax^2 + bx + c = 0
-
B.
y = mx + b
-
C.
ax + b = c
-
D.
x^2 + y^2 = r^2
Solution
The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.
Correct Answer:
A
— ax^2 + bx + c = 0
Learn More →
Q. Which of the following represents a quadratic equation?
-
A.
x + 1 = 0
-
B.
x^2 - 4x + 4 = 0
-
C.
3x^3 + 2 = 0
-
D.
5x - 2 = 0
Solution
A quadratic equation is in the form ax^2 + bx + c = 0. The second option fits this form.
Correct Answer:
B
— x^2 - 4x + 4 = 0
Learn More →
Showing 1 to 16 of 16 (1 Pages)
