1, Factor each expression
x^2 - 10x - 24
A. (x + 4)(x - 6)
B. (x + 6)(x - 4)
C. (x + 2)(x - 12)
D. (x + 12)(x - 2)
2, x^2 - 36 = 0
A. (1 + square root of 3, 1 - square root of 3)
B. (-6,6)
C. No solution
D. None of these
3, Factor each expression
49 x^9 - 25 y^2
A. (7x^2 - 5y)(7x^2 + 5y)
B. (7x^3 - 5y)(7x + 5y)
C. (7x^2 - 5y)^2
D. None of these
4, Factor each expression
x^2 - 9
A. (x - 3)(x - 3)
B. (x - 9)(x + 1)
C. (x - 3)(x + 3)
D. None of these
5, Factor each expression
3 x^2 - 2x - 8
A. (3x + 2)(x + 4)
B. (2x + 4)(2x - 4)
C. (3x - 2)(x - 4)
D. None of these
6, 1 - 5 x^2 = -3x
A. (3/10 + square root 29/10, 3/10 - square root 29/10)
B. (-3/10 + square root 29/10, -3/10 - square root 29/10)
C. No solution
D. None of these
7, x^2 - 4x + 1 = 0
A. (2 + square root of 3, 2 - square root of 3)
B. (-2 + square root of 3, -2 - square root of 3)
C. No solution
D. None of these
8, Find each product
(x - 6y)^2
A. x^2 - 12xy + 36y^2
B. x^2 + 12xy + 36y^2
C. x^2 - 12xy - 36y^2
D. None of these
9, Find each product
(x - 4)(x + 4)
A. x^2 - 8x -16
B. x^2 - 16
C. x^2 + 2x + 16
D. None of these
10, Find each product
(3x - 2)(2x + 5)
A. 5x^2 - 11x - 10
B. 6x^2 - 11x -10
C. 6x^2 + 9x +10
D. None of these
11, The cube of a certain whole number is 48 more than the square of the same number. What is the number?
A. 3
B. 4
C. 5
D. 6
12, If a quadratic equation can be solved, how many solutions are there?
A. 1
B. 1 or 2
C. 2
D. 3
13, 3 x^2 - 2 = 4x
A. (-2,4)
B. (2/3 + square root of 10/3, 2/3 - square root of 10/3)
C. (-2/3 + square root of 10/3, -2/3 - square root of 10/3)
D. None of these
14, The product of two consecutive positive integers is 132. What are the numbers?
A. 10, 11
B. 11, 12
C. 12,13
D. 13,14
15, x^2 - 4x - 121 = -4x
A. (-10, 12)
B. (-9, 9)
C. (-11, 11)
D. None of these
5 answers
Why not show some work, and I would be ever so happy to critique it.
for example in the first five, why don't you expand the answers that are given to see which matches your question?
same thing for problems such as #10, just expand it and see what happens.
It should help if you don't know where to start.