Topics
3. Quadratic Equations
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United States of America
Grades 9-12

3.05 Solving using appropriate methods

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Solve $x^2=25$x2=25 for $x$x.

Enter each solution on the same line, separated by a comma.

Medium
< 1min

Solve $x^2-10=15$x2−10=15 for $x$x.

Enter each solution on the same line, separated by a comma.

Medium
< 1min

Solve $25y^2=36$25y2=36 for $y$y.

Enter each solution on the same line, separated by a comma.

Medium
2min

Solve $-3k^2=-12$−3k2=−12 for $k$k.

Enter each solution on the same line, separated by a comma.

Medium
1min
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Outcomes

A.CED.A.1

Create equations and inequalities in one variable and use them to solve problems.

A.CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

A.REI.B.4

Solve quadratic equations in one variable.

A.REI.B.4.A

Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)^2 = q that has the same solutions. Derive the quadratic formula from this form.

A.REI.B.4.B

Solve quadratic equations by inspection (e.g. For x^2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

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