Equations
Polynomials
Factoring
Quadratic Equation
Algebraic Inequalities
100
If 4r + 7s = 23 ad r - 2s = 17, then 3r +3s = ?
What is 24
100
Simplify (20b^3 - 8b)/:
What is 5b^2 - 2?
100
(4x + 4y)/(2x^2 - 2y^2) = ?
What is 2/(x - y)?
100
If (x+7)(x-3) = 0, then x =?
What is -7 or 3?
100
What is the largest integer value of p that satisfies the inequality 4 + 3p < p + 1 ?
What is -2?
200
If a + b = 11 and a - b = 7, then ab = ?
What is 18?
200
If a - b = p and a + b = k, then a^2 - b^2 = ? (in terms of p and k)
What is pk?
200
The sum of [a / (a^2 + b^2)] and [b / (a^2 - b^2)] is = ?
What is 1/(a - b)?
200
If a^2 / 2 = 2a, then a equals?
What is 0 or 4?
200
If the sum of a number and the original number increased by 5 is greater than 11, what are the possible values of that number?
What is x > 3?
300
If (a - b)/b = (2/3), what is the value of (a/b)?
What is (5/3)?
300
If (px + q)^2 = 9x^2 + kx + 16, what is the value of k?
What is 24?
300
If x^2 = r^2 + 2rs + s^2, y^2 = r^2 - s^2, x > 0 and y > 0, then x/y = ?
What is sqrt [(r + s) / (r - s )]?
300
If (x - 1 )^2 - (x - 1) = 0, then x = ?
What is 1 or 2?
300
What is the smallest integer value of x that satisfies the inequality 4 - 3x < 11?
What is -2?
400
If 3/4 = 6/x = 9/y, then x + y = ?
What is 20?
400
If [k +(1/k)]^2 = 16, then k^2 + (1/k^2) = ?
What is 14?
400
If ax^2 - bx = ay^2 + by, then a/b =?
What is 1 / (x - y)?
400
By how much does the sum of the roots of the equation (x+1)(x - 3) = 0, exceed the product of its roots?
What is 5?
400
For how many integer values of b is b + 3 > 0 and 1 > 2b - 9?
What is 7?
500
If 16 * a^2 * 64 = (4 * b)^2 and a and b are positive integers, then b is how many times greater than a?
What is 8?
500
If (3y - 1)(2y + k) = ay^2 +by - 5 for all values of y, what is the value of a + b?
What is 19?
500
If a does not = b and (a^2 - b^2) / 9 = a + b, then what is the value of a - b?
What is 9?
500
If x is a positive integer and (x - 6)^2 = 9, then x^2 =?
What is 9?
500
For what integer values of y is y + 5 > 8 and 2y - 3 < 7?
What is 4?
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