Solving Quadratics with Square Roots Worksheet with Answer Key

What's on the worksheet

1. Solve each equation using square roots and give radical answers in simplest form.
   k^2 = 1697x^2 = 175x^2 - 18 = 0\dfrac{2}{3}y^2 = 247 - 2v^2 = -91
2. Solve each equation, keeping the squared expression in brackets whole.
   (x - 8)^2 = 64(n + 4)^2 = 274(y - 1)^2 - 9 = 91\left(w + \dfrac{1}{3}\right)^2 = \dfrac{16}{9}(5x - 2)^2 = 49
3. Isolate the squared expression and say how many real solutions each equation has.
   (x + 4)^2 + 3 = 05(x - 2)^2 = 08 - 2(x + 1)^2 = 09 - (x - 7)^2 = 9
4. A rectangular banner is twice as long as tall and uses 18 square feet: find its size.
5. Find the mistakes of Student A and Student B in solving the same equation.
6. Find h and k so that the equation has exactly the given solutions.
7. Find every real solution of an equation with a squared expression inside a square.
8. Sign and storm: use the wind force formula to find the wind speed.