Equations & Inequalities
Find the solution set to the inequality -5x - 6 < 19.
What is x > -5?
Find the slope of the line that passes through the points (3, -2) and (5, 4).
What is m=3?
Write the equation in factored form: 2x^2+7x-15.
What is (2x-3)(x+5)?
Simplify: (2x2 - 6x + 11) - (x - 3)
What is 2x2 - 7x + 14?
Simplify (x2 + 3x + 2)/(x2 - 1)
What is (x+2)/(x-1)?
Find the solution(s) for x for |x + 3| = 2x + 4. (Check for extraneous solutions).
What is -1?
Write the equation of a line that passes through (10, 2) and is perpendicular to y = -5x + 7.
What is y = (1/5)x?
Find the solution(s) to the quadratic equation 2x^2+13x-7.
What is -7 and 0.5?
Multiply: (3x-2)(x^2+4x-7).
What is 3x^3+10x^2-29x+14?
Multiply: (x+5)/(x3-25x)*(2x3 - 11x2 + 5x)
What is (2x-1)?
Find the solution set of the inequality |x - 5| < 30.
What is -25<x<35?
List the transformations that occur to y = -3|x+1|+3 as compared to the parent function y = |x|.
What is left 1 unit, up 3 units, reflected over x-axis and having a stretch of 3.
Find the solution(s) to the equation x^2+4x-14=0. (COMPLETE THE SQUARE).
What is -2±3√2?
Find the COMPLETE factorization of x^3-3x^2-4x+12.
What is (x-3)(x-2)(x+2)?
Divide (x4 + x3 - 30x2)/(x2-3x-18)
by (x3+x2-30x)/(x2 - 36)
What is x(x+6)/(x+3)?
Simplify (3 - 5i) - (2 + 8i)
What is 1 - 13i?
Write the equation of the quadratic function with x-intercepts -7 and -3 and passes through (-1,12).
What is y=(x+7)(x+3)?
Find all the zeros of y = 6x3 - 17x2 - 5x + 6. Hint: Use synthetic division.
What is x = 3, 1/2, -2/3?
Subtract (3x-5)/(x2-25) - 2/(x+5)
What is 1/(x-5)?
Find the solution(s) to |8x + 1| = 3x.
What is no solution?
Simplify (4 - 3i)(5 + 9i)
What is 47 + 21i?
Write the equation of a quadratic function with vertex (-3,-2) and passes through (1,-10).
What is y = -0.5(x+3)^2-2?
Write the polynomial in standard form with the zeros x = -1, 3, 4.
What is y = x3-6x2+5x+12?
Solve: 3/(x-3) = x/(x-3) - x/4
What is 4 (3 is extraneous)?