topic badge

8.05 The quadratic formula and the discriminant

Adaptive
Worksheet

Interactive practice questions

The standard form of a quadratic equation is $ax^2+bx+c=0$ax2+bx+c=0.

Identify the values of $a$a, $b$b and $c$c in the quadratic equation $x^2+7x+10=0$x2+7x+10=0 with $a>0$a>0.

$a$a $=$= $\editable{}$
$b$b $=$= $\editable{}$
$c$c $=$= $\editable{}$
Easy
< 1min

The standard form of a quadratic equation is $ax^2+bx+c=0$ax2+bx+c=0.

Identify the values of $a$a, $b$b and $c$c in the quadratic equation $x^2-3x-4=0$x23x4=0 with $a>0$a>0.

Easy
< 1min

The standard form of a quadratic equation is $ax^2+bx+c=0$ax2+bx+c=0.

Identify the values of $a$a, $b$b and $c$c in the quadratic equation $2x^2+9x=0$2x2+9x=0 with $a>0$a>0.

Easy
< 1min

Solve $-6+7x+5x^2=0$6+7x+5x2=0 for $x$x by using the quadratic formula or otherwise.

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

Easy
3min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

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.

MA.912.NSO.1.4

Apply previous understanding of operations with rational numbers to add, subtract, multiply and divide numerical radicals.

What is Mathspace

About Mathspace