Topics
8. Solving Quadratic Equations
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United States of AmericaFL
Grade 912

8.04 Solving quadratic equations by completing the square

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Find the missing values in this perfect square:

$x^2+4x+\editable{}=\left(x+\editable{}\right)^2$x2+4x+=(x+)2

Easy
< 1min

What term must we add to complete the square on $x^2+10x$x2+10x?

Easy
< 1min

Determine the value of $c$c, the constant that should be added to $x^2-2x$x2−2x to make it a perfect square expression.

Easy
< 1min

Complete the following so that it forms a perfect square

Easy
< 1min
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Outcomes

MA.912.AR.1.1

Identify and interpret parts of an equation or expression that represent a quantity in terms of a mathematical or real-world context, including viewing one or more of its parts as a single entity.

MA.912.AR.1.2

Rearrange equations or formulas to isolate a quantity of interest.

MA.912.AR.3.1

Given a mathematical or real-world context, write and solve one-variable quadratic equations over the real number system.

MA.912.AR.3.8

Solve and graph mathematical and real-world problems that are modeled with quadratic functions. Interpret key features and determine constraints in terms of the context.

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