Free Printable Solving Quadratic Inequalities in One Variable

1.

Which is the solution set of $\left(x+3\right)\left(x-2\right)>0$ ?

a)

$\left(-2,\ 3\right)$

b)

$\left(-3,2\right)$

c)

$\left(-\infty,-3\right)\cup\left(2,\infty\right)$

d)

$\left(-\infty,-3\right)\cup\left(2,\infty\right)$

2.

Which of the following is a solution to $x^2<9$ ? (choose all that apply)

a)

-3

b)

-2

c)

0

d)

4

3.

Which of the following graph is the same as the interval $\left[-5,4\right]$ ?

a)

b)

c)

d)

4.

Which of the following shows the graph of the solution set of $x^2-5x-14>0$ ?

a)

b)

c)

d)

5.

Which is the solution set of $\left(x+7\right)\left(x-5\right)\le0$ ?

a)

$\left[-7,\ 5\right]$

b)

$\left[-5,\ 7\right]$

c)

$\left(-\infty,\ -7\right]\cup\left[5,\infty\right)$

d)

$\left(-\infty,\ -5\right]\cup\left[7,\ \infty\right)$

6.

Which of the following is the same as the given graph?

a)

$\left(-2,\ 3\right)$

b)

$\left[-2,\ 3\right]$

c)

$\left(-\infty,\ -2\right]\cup\left[3,\infty\right)$

d)

$\left(-\infty,\ -2\right)\cup\left(3,\ \infty\right)$

7.

Which of the following is a solution of $\left(x-2\right)^2>0$ ? (choose all that apply)

a)

-1

b)

0

c)

1

d)

2

8.

Which of the following is true about $x^2\le0$ ?

a)

It has no solution.

b)

It has one solution.

c)

It has exactly two solutions.

d)

It has infinitely many solution.

9.

Which is the solution set of $2x^2-7x+3\ge0$ ?

a)

$\left\{x|\ \frac{1}{2}\le x\le3\right\}$

b)

$\left\{x|\ -3\le x\le-\frac{1}{2}\right\}$

c)

$\left\{x|\ x\le\frac{1}{2}<\cup\ \ x\ge3\right\}$

d)

$\left\{x|\ x\le-3\ \ \ \cup\ \ x\ge-\frac{1}{2}\right\}$

10.

Which of the following is the same as the given graph? (check all that apply)

a)

$\left\{x|\ x\ge-5<\cup\ \ x\le4\right\}$

b)

$\left[-5,\ 4\right]$

c)

$\left(-\infty,\ 5\right]\ \cup\ \left[4,\ \infty\right)$

d)

$\left\{x|-5\le\ x\le4\right\}$

Solving Quadratic Inequalities in One Variable

Total questions: 10

Worksheet time: 10mins

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