Free Printable QUIZ 3

1.

a)

(-2,2)

b)

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

c)

[-2,2]

d)

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

2.

Solve for x:
$\frac{3x-7}{x+2}>1$

a)

$\left(-2,\ \frac{9}{2}\right)$

b)

$\left(-\infty,-2\right)\cup\left(\frac{9}{2},\ \infty\right)$

c)

$\left(-\infty,-2\right)\cup\left(\frac{7}{3},\ \infty\right)$

d)

$\left(-2,\ \frac{7}{3}\right)$

3.

Solve the rational inequality and state your solution in interval notation.

$\frac{-x}{x-3}\ge0$

a)

$\left(0,\ +\infty\right)$

b)

$\left[0,\ 3\right)$

c)

$\left(-\infty,\ 0\right)\cup\left(3,\ +\infty\right)$

d)

$\left(-\infty,\ 0\right]\cup\left[3,\ +\infty\right)$

4.

Solve the rational inequality and state your solution in interval notation.

$\frac{3x-7}{x+2}>0$

a)

$\left(-2,\ \frac{7}{3}\right)$

b)

$\left(\ \frac{7}{3},\ +\infty\right)$

c)

$\left(-\infty,-2\right)\cup\left(\frac{7}{3},\ +\infty\right)$

d)

$\left(-\infty,-2\right)\cup\left[\frac{7}{3},\ +\infty\right)$

5.

Solve the rational inequality and state your solution in interval notation.

$\frac{x-1}{x^2-4}<0$

a)

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

b)

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

c)

$\left(-\infty,\ -2\right)\cup\left(1,\ 2\right)$

d)

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

6.

Solve the rational inequality and state your solution in interval notation.

$\frac{x^2+4x-12}{x^2-4x+4}>0$

a)

$\left(-\infty,\ -2\right]\cup\left[6,\ +\infty\right)$

b)

$\left(-\infty,\ -2\right)\cup\left(6,\ +\infty\right)$

c)

$\left(-\infty,\ -6\right]\cup\left[2,\ +\infty\right)$

d)

$\left(-\infty,\ -6\right)\cup\left(2,\ +\infty\right)$

7.

Solve the rational inequality and state your solution in interval notation.

$\frac{9-x^2}{x+1}\le0$

a)

$\left[-3,\ -1\right)\cup\left[3,+\infty\right)$

b)

$\left[-1,\ 0\right]\cup\left[3,+\infty\right)$

c)

$(-∞,-1)\cup(-1,\ 3)$

d)

$(-∞,-3)\cup(-3,3)$

8.

a)

$\left[-3,-\frac{1}{2}\right]\cup\left[1,\infty\right)$

b)

$\left[1,2\right]$

c)

$\left(-\infty,-3\right)\cup\left(-\frac{1}{2},1\right)$

d)

$\left(-3,-\frac{1}{2}\cup\left(1,\infty\right)\right)$

9.

a)

$\left(-10,-2\right)$

b)

$\left[-10,-2\right]$

c)

$\left(-\infty,-10\right]\cup\left(-2,2\right)$

d)

$\left(-\infty,-10\right)\cup\left(-2,2\right]$

10.

Determine the solution of the given quadratic inequality.

\left(x+2\right)\left(2x-3\right)>0

a)

$x<-2\ or\ x>\frac{3}{2}$

b)

$-2<x<\frac{3}{2}$

11.

Determine the solution of the given quadratic inequality.

\left(x-4\right)\left(4x-5\right)\ge0

a)

$x\le\frac{5}{4}\ or\ x\ge4$

b)

$\frac{5}{4}\le x\le4$

12.

Determine the solution of the given quadratic inequality.

\left(5x-3\right)\left(x+1\right)<0

a)

$x<-1\ or\ x>\frac{3}{5}$

b)

$-1<x<\frac{3}{5}$

13.

Determine the solution of the given quadratic inequality.

\left(3x-2\right)\left(2x-3\right)\le0

a)

$x\le\frac{2}{3}\ or\ x\ge\frac{3}{2}$

b)

$\frac{2}{3}\le x\le\frac{3}{2}$

14.

Determine the solution of the given quadratic inequality.

\left(x+5\right)\left(x-10\right)>0

a)

$x<-5\ or\ x>10$

b)

$-5<x<10$

15.

Determine the solution of the given quadratic inequality.

\left(x+11\right)\left(3x+11\right)\ge0

a)

$x\le-11\ or\ x\ge-\frac{11}{3}$

b)

$-11\le x\le-\frac{11}{3}$

16.

Determine the solution of the given quadratic inequality.

\left(2x-9\right)\left(x-12\right)<0

a)

$x<\frac{9}{2}\ or\ x>12$

b)

$\frac{9}{2}<x<12$

17.

Determine the solution of the given quadratic inequality.

\left(x+6\right)\left(4x-13\right)\le0

a)

$x\le-6\ or\ x\ge\frac{13}{4}$

b)

$-6\le x\le\frac{13}{4}$

18.

Determine the solution of the given quadratic inequality.

\left(x-8\right)\left(x+3\right)>0

a)

$x<-3\ or\ x>8$

b)

$-3<x<8$

19.

Determine the solution of the given quadratic inequality.

\left(x-6\right)\left(4x+6\right)\ge0

a)

$x\le-\frac{3}{2}\ or\ x\ge6$

b)

$\frac{-3}{2}\le x\le6$

20.

Determine the solution of the given quadratic inequality.

\left(3x-8\right)\left(x+5\right)<0

a)

$x<-5\ or\ x>\frac{8}{3}$

b)

$-5<x<\frac{8}{3}$

21.

Determine the solution of the given quadratic inequality.

\left(x+7\right)\left(2x-1\right)\le0

a)

$x\le-7\ or\ x\ge\frac{1}{2}$

b)

$-7\le x\le\frac{1}{2}$

22.

Determine the solution of the given quadratic inequality.

\left(5x-9\right)\left(x-2\right)>0

a)

$x<\frac{9}{5}\ or\ x>2$

b)

$\frac{9}{5}<x<2$

23.

Determine the solution of the given quadratic inequality.

\left(x-6\right)\left(x+6\right)\ge0

a)

$x\le-6\ or\ x\ge6$

b)

$-6\le x\le6$

24.

Determine the solution of the given quadratic inequality.

\left(x+7\right)\left(8x+1\right)<0

a)

$x<-7\ or\ x>\frac{-1}{8}$

b)

$-7<x<\frac{-1}{8}$

25.

Determine the solution of the given quadratic inequality.

x\left(4x-5\right)\le0

a)

$x\le0\ or\ x\ge\frac{5}{4}$

b)

$0\le x\le\frac{5}{4}$

26.

Determine the solution of the given quadratic inequality.

\left(6x+7\right)\left(4x+8\right)>0

a)

$x<-2\ or\ x>-\frac{7}{6}$

b)

$-2<x<-\frac{7}{6}$

27.

Determine the solution of the given quadratic inequality.

\left(3x-9\right)\left(x-10\right)\ge0

a)

$x\le3\ or\ x\ge10$

b)

$3\le x\le10$

28.

Determine the solution of the given quadratic inequality.

\left(5x+6\right)\left(7x-9\right)<0

a)

$x<-\frac{6}{5}\ or\ x>\frac{9}{7}$

b)

$-\frac{6}{5}<x<\frac{9}{7}$

29.

Determine the solution of the given quadratic inequality.

x\left(6x+3\right)\le0

a)

$x\le\frac{-1}{2}\ or\ x\ge0$

b)

$-\frac{1}{2}\le x\le0$

30.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

31.

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

32.

Write the following solution in interval notation:

z < 20

a)

( -∞ , 20 )

b)

( 20,∞)

c)

( -∞ , 20)

d)

( -∞ , 20]

33.

Write the following solution in interval notation:

x ≥ -3

a)

[ -3, ∞ )

b)

( -3, ∞ )

c)

( -∞ , -3 )

d)

( -∞ , -3]

34.

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

a)

[ ]

b)

( )

35.

When writing a solution in interval notation, what brackets do i use for:

> or <

a)

[ ]

b)

( )

36.

When graphing an inequality solution, what type of circle do I draw for the symbol:

> or <

a)

open circle

b)

closed circle

37.

When graphing an inequality solution, what type of circle do I draw for the symbol:

or ≤ or ≥

a)

Closed Circle

b)

Open Cirlce

38.

Write the inequality in interval notation.

a)

(-2,5)

b)

(-∞,-2) or (5,∞)

c)

[-2,5]

d)

(-∞,-2] or [5,∞)

39.

What inequality is graphed?

a)

x > 2 and x ≤ −3

b)

x > 2 and x < −3

c)

x > 2 or x ≤ −3

d)

x > 2 or x < −3

40.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

41.

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

42.

Graph the inequality on the number line.

$x<7$

a)

b)

c)

d)

43.

Graph the inequality on the number line.

$x\ge7$

a)

b)

c)

d)

44.

What inequality is represented on the number line?

a)

$x<7$

b)

$x>7$

c)

$x\le7$

d)

$x\ge7$

45.

What inequality is represented on the number line?

a)

$x<7$

b)

$x>7$

c)

$x\le7$

d)

$x\ge7$

46.

What inequality is represented on the number line?

a)

$x<7$

b)

$x>7$

c)

$x\le7$

d)

$x\ge7$

47.

Which number line represents the given interval notation?

$\left(-\infty,\ 7\right)$

a)

b)

c)

d)

48.

Which number line represents the given interval notation?

$\left[7,\ \infty\right)$

a)

b)

c)

d)

49.

Which number line represents the given interval notation?

$\left[7,\ \infty\right)$

a)

b)

c)

d)

50.

Solve the inequality.

a)

$\left(-7,-1\right]$

b)

$\left[5,\infty\right]$

c)

$\left[5,7\right]$

d)

$\left[6,7\right)$

QUIZ 3

Total questions: 50

Worksheet time: 5hrs 44mins

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