Q. If f(x) = x^2 - 6x + 9, what is f(3)?
Solution
Substituting x = 3 into the function: f(3) = 3^2 - 6(3) + 9 = 9 - 18 + 9 = 0.
Correct Answer:
A
— 0
Learn More →
Q. What are the roots of the polynomial x^2 + 4x + 4?
-
A.
-2 and -2
-
B.
2 and 2
-
C.
4 and 4
-
D.
0 and 0
Solution
The polynomial can be factored as (x + 2)(x + 2) or (x + 2)^2. Thus, the roots are x = -2 and x = -2.
Correct Answer:
A
— -2 and -2
Learn More →
Q. What is the discriminant of the quadratic equation x^2 - 6x + 9?
Solution
The discriminant is given by b^2 - 4ac. Here, a = 1, b = -6, and c = 9. So, the discriminant is (-6)^2 - 4(1)(9) = 36 - 36 = 0.
Correct Answer:
A
— 0
Learn More →
Q. What is the factored form of the polynomial 3x^2 - 12?
-
A.
3(x - 4)(x + 4)
-
B.
3(x - 2)(x + 2)
-
C.
3(x - 4)
-
D.
3(x + 4)
Solution
First, factor out 3: 3(x^2 - 4). Then, factor the difference of squares: 3(x - 2)(x + 2).
Correct Answer:
A
— 3(x - 4)(x + 4)
Learn More →
Q. What is the solution to the equation 3x + 2 = 11?
-
A.
x = 3
-
B.
x = 2
-
C.
x = 4
-
D.
x = 5
Solution
Subtract 2 from both sides: 3x = 9. Then divide by 3: x = 3.
Correct Answer:
A
— x = 3
Learn More →
Q. Which inequality represents the solution to the equation 4x - 8 = 0?
-
A.
x < 2
-
B.
x > 2
-
C.
x = 2
-
D.
x ≤ 2
Solution
To solve the equation, add 8 to both sides: 4x = 8. Then divide by 4: x = 2. The solution is x = 2.
Correct Answer:
C
— x = 2
Learn More →
Q. Which of the following is the solution set for the inequality x + 3 > 2?
-
A.
x > -1
-
B.
x < -1
-
C.
x > 1
-
D.
x < 1
Solution
To solve the inequality, subtract 3 from both sides: x > -1.
Correct Answer:
A
— x > -1
Learn More →
Q. Which of the following represents the solution set for the inequality x + 2 > 3?
-
A.
x < 1
-
B.
x > 1
-
C.
x < 5
-
D.
x > 5
Solution
Subtracting 2 from both sides gives x > 1.
Correct Answer:
B
— x > 1
Learn More →
Showing 1 to 8 of 8 (1 Pages)
