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Quadratic Inequalities Quiz

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Questions and Answers

What is the standard form of a quadratic equation?

$ax^{2}+bx+c$

$ax^{2}+bx=c$

$ax^{2}=bx+c$

$ax^{2}+bx+c=0$ (correct)

How do we represent a quadratic inequality in standard form?

Subtract a constant from the quadratic equation

Multiply the quadratic equation by an inequality sign

Add a constant to the quadratic equation

Replace the equal sign with an inequality sign in the quadratic equation (correct)

What techniques are used to solve quadratic inequalities?

Only techniques from solving rational inequalities

Only techniques from solving linear and quadratic equations

Only techniques from solving linear inequalities

Techniques from solving linear and rational inequalities, as well as quadratic equations (correct)

How many ways do we solve quadratic inequalities?

Two ways—both graphically and algebraically Signup and view all the answers

What is the standard form of a quadratic function?

$f(x)=ax^{2}+bx+c$ Signup and view all the answers

What is the solution to the quadratic inequality $x^{2}+ 6x +5 \leq 0$?

$-5 \leq x \leq -1$ Signup and view all the answers

How many solutions does the quadratic equation $x^{2}+ 6x +5 = 0$ have?

2 Signup and view all the answers

What does the quadratic inequality $x^{2}+ 6x +5 > 0$ represent?

The x values where the graph is above the x-axis Signup and view all the answers

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 Signup and view all the answers

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 Signup and view all the answers

Quadratic Inequalities Quiz

Choose a study mode

Podcast

Questions and Answers

What is the standard form of a quadratic equation?

How do we represent a quadratic inequality in standard form?

What techniques are used to solve quadratic inequalities?

How many ways do we solve quadratic inequalities?

What is the standard form of a quadratic function?

What is the solution to the quadratic inequality $x^{2}+ 6x +5 \leq 0$?

How many solutions does the quadratic equation $x^{2}+ 6x +5 = 0$ have?

What does the quadratic inequality $x^{2}+ 6x +5 > 0$ represent?

How do the solutions to a quadratic inequality differ from the solutions to a quadratic equation?

How can the quadratic inequality $x^{2}+ 6x +5 > 0$ be solved?

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