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

8.02 Solve quadratics by factoring

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Solve for the two possible values of $x$x:

$x\left(3x-2\right)=0$x(3x−2)=0

Write all solutions on the same line, separated by commas.

Medium
1min

By first factoring the left hand side, solve the equation.

$x^2+12x=0$x2+12x=0

Medium
1min

Move all terms to the left hand side, then solve the equation.

$m^2=14m$m2=14m

Medium
< 1min

Solve $\left(x-7\right)\left(x+8\right)=0$(x−7)(x+8)=0 for $x$x.

Medium
< 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

A.EI.3

The student will represent, solve, and interpret the solution to a quadratic equation in one variable.

A.EI.3a

Solve a quadratic equation in one variable over the set of real numbers with rational or irrational solutions, including those that can be used to solve contextual problems.

A.EI.3c

Verify possible solution(s) to a quadratic equation in one variable algebraically, graphically, and with technology to justify the reasonableness of answer(s). Explain the solution method and interpret solutions for problems given in context.

A.F.2

The student will investigate, analyze, and compare characteristics of functions, including quadratic and exponential functions, and model quadratic and exponential relationships.

A.F.2d

Make connections between the algebraic (standard and factored forms) and graphical representation of a quadratic function.

A.F.2g

For any value, x, in the domain of f, determine f(x) of a quadratic or exponential function. Determine x given any value f(x) in the range of f of a quadratic function. Explain the meaning of x and f(x) in context.

What is Mathspace

About Mathspace