11. Quadratic Equations

11.01 Solving using graphs and tables

11.02 Solving by factoring

11.03 Solving using square roots

11.04 Solve using the quadratic formula

11.05 Solving using appropriate methods

11.06 Linear-quadratic systems

11.07 Quadratic inequalities

United States of America

Grades 9-12

11.02 Solving by factoring

Adaptive

Worksheet

Interactive practice questions

Solve $x^2+5x-14=0$x2+5x−14=0 for $x$x by factoring or otherwise.

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

Medium

1min

Solve $x^2+19x+88=0$x2+19x+88=0 for $x$x by factoring or otherwise.

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

Medium

1min

Solve the equation for $x$x:

$x^2+19x+90=0$x2+19x+90=0

Medium

1min

Solve for $x$x:

$x^2-17x+72=0$x2−17x+72=0

Medium

1min

Outcomes

A.SSE.B.3.A

Factor a quadratic expression to reveal the zeros of the function it defines.

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.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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