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Advance Algebra And Functions Test
Advance Algebra And Functions Test
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Question 1: Simplify the expression: (2x^2 - 5x + 3) when x = 3.
A
9
B
15
C
21
D
27
Question 2: If a^2 + b^2 = 25 and ab = 12, what are the possible values of a and b?
A
3, 4
B
4, 3
C
2, 6
D
6, 2
Question 3: Solve the system of equations: (2x + 3y = 8, x - 2y = -4).
A
x = 2, y = 2
B
x = 3, y = 1
C
x = 4, y = 0
D
x = 5, y = -1
Question 4: Factorize the expression: x^2 + 5x + 6.
A
(x + 2)(x + 3)
B
(x + 1)(x + 6)
C
(x + 3)(x + 2)
D
(x + 6)(x + 1)
Question 5: Solve the inequality: 3x - 7 > 2x + 5.
A
x < 12
B
x > 12
C
x < -12
D
x > -12
Question 6: Find the value of x in the equation 2^(x+1) = 16.
A
2
B
3
C
4
D
5
Question 7: Expand and simplify: (a - b)^2.
A
a^2 - 2ab + b^2
B
a^2 + 2ab + b^2
C
a^2 - b^2
D
a^2 + b^2
Question 8: If f(x) = 2x^3 - x^2 + 3x - 5, what is f(-1)?
A
2
B
-2
C
-4
D
-6
Question 9: Solve the equation: (2/3)x - 4 = 8.
A
x = 9
B
x = 12
C
x = 18
D
x = 24
Question 10: If g(x) = (1/2)(x - 3)^2, what is g(3)?
A
0
B
3
C
6
D
9
Question 11: Factorize the expression: 4y^2 - 1.
A
(2y - 1)(2y + 1)
B
(2y + 1)(2y - 1)
C
(y - 1)(y + 1)
D
(y + 1)(y - 1)
Question 12: If h(x) = (x^2 - 4)/(x + 2), what is h(-2)?
A
0
B
2
C
4
D
6
Question 13: Solve the system of equations: (3x + 4y = 10, 2x - y = 5).
A
x = 1, y = 2
B
x = 2, y = 1
C
x = 3, y = 0
D
x = 4, y = -1
Question 14: Evaluate the expression: 5!/2!.
A
60
B
80
C
100
D
120
Question 15: If k^2 - 3k + 2 = 0, what are the solutions for k?
A
k = 1, 2
B
k = 2, 1
C
k = -1, -2
D
k = -2, -1
Question 16: Simplify the expression: |2x - 7| - |3x + 4|.
A
x - 11
B
-x - 11
C
-x + 11
D
x + 11
Question 17: If n! represents the product of all positive integers up to n, what is the value of 4!?
A
12
B
24
C
36
D
48
Question 18: Find the range of the function f(x) = 2x^2 + 4x - 3.
A
All real numbers
B
Positive real numbers
C
Negative real numbers
D
Non-negative real numbers
Question 19: Solve the equation: log_2(x + 3) = 2.
A
x = 5
B
x = 6
C
x = 7
D
x = 8
Question 20: If p and q are positive integers such that p + q = 15 and pq = 56, what are the values of p and q?
A
p = 7, q = 8
B
p = 8, q = 7
C
p = 6, q = 9
D
p = 9, q = 6
Question 21: Simplify the expression: sqrt(50) - sqrt(18).
A
sqrt(2)
B
sqrt(3)
C
sqrt(5)
D
sqrt(7)
Question 22: If m is an integer such that 3 ≤ m ≤ 8, how many possible values can m take?
A
3
B
4
C
5
D
6
Question 23: Evaluate the expression: cos^2 30° + sin^2 30°.
A
0
B
1/2
C
1
D
2
Question 24: If x and y are real numbers such that x^2 + y^2 = 10 and xy = 3, what is x + y?
A
4
B
5
C
6
D
7
Question 25: Solve the equation: 2^x = 16.
A
2
B
3
C
4
D
5
Question 26: If f(x) = x^2 + 4x + 4, what is f(-2)?
A
0
B
4
C
8
D
12
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