Solving Quadratics by Factoring Worksheet with Answer Key

What's on the worksheet

1. Solve each equation that has a product on one side and 0 on the other.
   (m + 8)(m - 15) = 0(6 - 5r)(r + 2) = 07v(3v - 1) = 0\left(x + \dfrac{1}{2}\right)(4x - 1) = 0-(2k + 5)^2 = 0
2. Get 0 on one side, factor and solve each equation.
   x^2 + 3x - 28 = 0u^2 - 13u + 42 = 05d^2 = -30d3x^2 - 10x - 8 = 012y^2 + 5y - 2 = 0
3. Rearrange each equation so one side is 0, then solve and check.
   2x(x - 3) = x - 3(n + 2)^2 = 5n + 16\dfrac{1}{2}a^2 - a = 12(3p - 1)(p + 2) = (p + 2)(p + 5)
4. Check Jin's answers and find the mistake in solving a product equal to 8.
5. Explain why x equals 4 is always a solution, then find the value of k for a condition.
6. Find b from a known x-intercept, then find the other crossing point.
7. Frozen sample warming test: find when the temperature is zero.
8. Find three consecutive even whole numbers that are the sides of a right triangle.
9. Hannah's chess club tournament: use the number of games to find how many players there are.