Topics
8. Solving Quadratic Equations
topic badge
United States of AmericaTennessee
Algebra 1

8.05 Solving quadratic equations 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.

Easy
< 1min

Solve $x^2-10=15$x2−10=15 for $x$x.

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

Easy
< 1min

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

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

Easy
2min

Solve $-3k^2=-12$−3k2=−12 for $k$k.

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

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

Outcomes

A1.A.CED.A.1

Create equations and inequalities in one variable and use them to solve problems in a real-world context.*

A1.A.CED.A.2

Create equations in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.*

A1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

A1.A.REI.A.1

Understand solving equations as a process of reasoning and explain the reasoning. Construct a viable argument to justify a solution method.

A1.A.REI.B.3

Solve quadratic equations and inequalities in one variable.

A1.A.REI.B.3.A

Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, knowing and applying the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when a quadratic equation has solutions that are not real numbers.

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP5

Use appropriate tools strategically.

A1.MP6

Attend to precision.

A1.MP7

Look for and make use of structure.

A1.MP8

Look for and express regularity in repeated reasoning.

What is Mathspace

About Mathspace