Worksheet Library

Loading Lesson Content...

Advanced math education, serving students around the world.

SAT Math - Quadratics - Solving Quadratics | Worksheet

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.

More in Quadratics

*View full SAT Math course with step by step lessons and online quiz modules.*

Related Lessons:

Properties of Quadratics
Factoring Quadratics

Want to reach top 5% in SAT Math?

Learn shortcut methods and time-saving strategies with our SAT Math Destroyer Crash Course.

View Destroyer Course →

Solving Quadratics

Quadratics • SAT Math

Set 4 — Mastery

Solve for $x$ : $2x^{2} - 8x = 0$ .

0 and 4

2 and 6

Find the vertex of the parabola defined by the equation $y = x^{2} + 4x + 3$ .

(-2, -1)

(-2, 1)

(2, -1)

What are the solutions to the equation $3x^{2} + 12x + 12 = 0$ ?

-2

-4 and 0

0 and 2

Solve for $x$ : $x^{2} - 6x + 9 = 0$ .

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

2 and -3

-2 and 3

1 and -6

If $x^{2} - 4x + k = 0$ has exactly one solution, what is the value of $k$ ?

Determine the roots of $x^{2} + 6x + 8 = 0$ .

2 and -4

-2 and -4

0 and -8

What are the solutions for $x^{2} - 5x + 6 = 0$ ?

2 and 3

1 and 6

Feel free to use these worksheets in your classroom or share the link with students and colleagues!

Other Sets

Show answer choices

Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet

Other Sets

Show answer choices

Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet

Other Sets

Show answer choices

Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet

Other Sets

Show answer choices

Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet

4 and -2

1 and 3

(2, 1)

No real solutions

6 and 9

3 and -3

3 and 2

4 and -2

0 and 5

3 and 4

Find the x-intercepts of the function $y = x^{2} - 6x + 8$ .

2 and 4

1 and 8

0 and 8

3 and 5