Exponents
If a2=10, what is the value of a4?
100
3x - 5y = -11
x = 1 - 3y
What is the solution (x,y) to the system above?
(-2, 1)
If (2x+3)(ax-5) = 12x2 + bx - 15 for all values of x, what is the value of b?
8
If (x+3y)2 = x2 + 9y2 + 42, what is the value of x2y2?
49
Which of the following is a solution to the inequality -x-4 > 4x-14?
a. -1 b. 2 c. 5 d. 8
If 3x-3 = 27, what is the value of x?
6
y + 2x = 20
6x - 5y = 12
What is the solution (x,y) to the system above?
(7, 6)
If (ab+a)/b = a/b + 5 for all values of b, what is the value of a?
5
If 1/x - 1/(x-4) = 1, what is the value of x?
2
If n is an integer and 3(n-2) > -4(n-9), what is the least possible value of n?
7
If y8 = 2/3 and y9 = m, what is the value of y in terms of m?
3m/2
3x - 6y = 15
-2x + 4y = -10
How many solutions are there to the system above?
a. 0 b. 1 c. 2 d. more than 2
d. more than 2
If n < 0 and 4x2 + mx + 9 = (2x+n)2, what is the value of n+m?
-15
If (2x+a)(3x+b) = 6x2+cx+7, what are the two possible values of c?
17 and 23
y > 15x + a
y < 5x + b
If (1, 20) is a solution to the system, which of the following could be the value of b-a?
a. 6 b. 8 c. 10 d. 12
d. 12
What is the value of a in (2a+b)(a-b) = 16 if b2 = 5 and a < 0?
-3
mx - 6y = 10
2x - ny = 5
If the system above has infinitely many solutions, what is the value of m/n?
4/3
(x3+kx2-3)(x-2)=x4 + 7x3 - 18x2 - 3x + 6
If the equation is true for all values of x, what is the value of x?
9
3/(n-1) + 2n/(n+1) = 3
If n>0, for what value of n is the equation above true?
3
If k ≤ x ≤ 3k+12, which of the following must be true?
I. x-12 ≤ 3k
II. k ≥ -6
III. x-k ≥ 0
I, II, and III
0
y = x2 + 1
y = x - 1
How many real solutions are there to the system above?
a. 0 b. 1 c. 2 d. more than 2
a. 0
What is one possible solution to the equation 12/(x+2) - 2/(x-2) = 1?
4 or 6
If x>1, what is the solution to the equation above?
11/2 or 5.5
If a < b, which of the following must be true?
I. a2 < b2
II. 2a < 2b
III. -b < -a
II and III