10 Questions
What is the standard form of a quadratic equation?
$ax^{2}+bx+c=0$
How do we represent a quadratic inequality in standard form?
Replace the equal sign with an inequality sign in the quadratic equation
What techniques are used to solve quadratic inequalities?
Techniques from solving linear and rational inequalities, as well as quadratic equations
How many ways do we solve quadratic inequalities?
Two ways—both graphically and algebraically
What is the standard form of a quadratic function?
$f(x)=ax^{2}+bx+c$
What is the solution to the quadratic inequality $x^{2}+ 6x +5 \leq 0$?
$-5 \leq x \leq -1$
How many solutions does the quadratic equation $x^{2}+ 6x +5 = 0$ have?
2
What does the quadratic inequality $x^{2}+ 6x +5 > 0$ represent?
The x values where the graph is above the x-axis
How do the solutions to a quadratic inequality differ from the solutions to a quadratic equation?
A quadratic inequality may have a range of solutions, while a quadratic equation has specific solution points
How can the quadratic inequality $x^{2}+ 6x +5 > 0$ be solved?
By finding the x values where the graph is above the x-axis
Test your readiness to solve quadratic inequalities with this short quiz. Evaluate your understanding of the techniques used to solve linear and rational inequalities and prepare to tackle more complex quadratic inequalities.
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