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Solving Quadratics

This worksheet covers Solving Quadratics, which is part of the Quadratics module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.

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Solving Quadratics

Quadratics • SAT Math

Set 5 — Mastery

Solve the equation $x^{2} - 6x + 9 = 0$ . What are the solutions?

3 and -3

What are the roots of the quadratic equation $2x^{2} + 4x - 6 = 0$ ?

-3 and 1

3 and -1

3 and 2

-1 and 3

Find the value of $x$ in the equation $x^{2} + 5x + 6 = 0$ .

-2 and -3

2 and 3

-6 and 1

If $x^{2} - 4 = 0$ , what are the solutions for $x$ ?

2 and -2

4 and -4

1 and -1

Solve for $x$ in the equation $3x^{2} - 12x + 12 = 0$ .

What are the solutions to the quadratic equation $x^{2} + 2x - 8 = 0$ ?

2 and -4

-2 and 4

4 and -2

Find the roots of the equation $x^{2} - 5x + 4 = 0$ .

1 and 4

2 and 3

0 and -4

5 and 0

What are the values of $x$ that satisfy $5x^{2} + 20x + 15 = 0$ ?

-1 and -3

1 and 3

3 and -1

Determine the roots of the quadratic equation $-x^{2} + 4x - 4 = 0$ .

2 and 4

-2

4 and 0

10.

Solve for $x$ in the equation $x^{2} + 3x + 2 = 0$ .

-1 and -2

1 and 2

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