Task Sets: Solve quadratic equations - Common Core Math - HS Algebra

Fluency Practice

Solve $(x - 3)^2 = 16$ . Show both solutions and verify each by substitution.

Solve $(x + 5)^2 = 9$ .

$x = -2$ only

$x = 4$ and $x = -4$

$x = -5 \pm 3$ , giving $x = -2$ and $x = -8$

$x = -5$ only

$A six-row step table for completing the square, showing each algebraic step from the original equation to the solution.$

Solve $x^2 + 8x + 5 = 0$ by completing the square. Show every step: moving the constant, adding $(b/2)^2$ to both sides, factoring, and solving.

Solve $x^2 - 6x + 2 = 0$ by completing the square.

Solve $2x^2 + 5x - 3 = 0$ using the quadratic formula. Identify $a$ , $b$ , and $c$ before substituting, and simplify fully.