Free Printable Maths Quiz2

1.

2x² ≤ 5x − 2 , is

a)

Quadratic inequality

b)

Not quadratic inequality

2.

2x + 5 ≤ x − 3 , is

a)

Quadratic inequality

b)

Not quadratic inequality

3.

Write the inequality.

a)

$x\ <\ -1$

b)

$x>-1$

c)

$x\le-1$

d)

$x\ge-1$

4.

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)

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

5.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

6.

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

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.

Solve the inequality:

g\left(x\right)<0

a)

$\left(-1,4\right)$

b)

$\left(-\infty,-1\right)\cup\left(4,\infty\right)$

c)

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

d)

$\left(-\infty,-1\right]\cup\left[4,\infty\right)$

9.

Solve $g\left(x\right)\ge f\left(x\right)$

a)

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

b)

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

c)

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

d)

$\left[-2,1\right]$

10.

Solve $f\left(x\right)>g\left(x\right)$

a)

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

b)

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

c)

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

d)

$\left[-2,1\right]$

11.

Given the function

f\left(x\right)=\ x^2-3x-10

, does the graph open up or down?

a)

Up

b)

Down

12.

Given the function

f\left(x\right)=\ x^2-3x-10

, what is the axis of symmetry?

a)

x = 1.5

b)

x = -1.5

c)

y = 1.5

d)

y = -12.25

13.

A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance s (in feet) of the ball from the ground after t seconds is:
$s\left(t\right)=96t-16t^2$

At what time t will the ball strike the ground? Hint: Find the x-intercepts.

a)

0 seconds

b)

3 seconds

c)

6 seconds

d)

12 seconds

14.

Select the graph that shows a maximum point

a)

b)

c)

d)

15.

$\left(x\ -\ 5\right)^2\ \ge\ 0$

a)

$x\ \ge\ 0$

b)

$x\ \le\ 5$

c)

$-\infty\ <\ x\ <\ \infty$

d)

$0\ \le\ x\ \le\ 5$

16.

Which graph matches the inequality $-x^2+5x-4>0$

a)

b)

c)

d)

17.

Does this graph represent the solution to the system of quadratic inequalities?

$y\ge x^2\ +x\ -\ 5$

$y\le\ -\ x^2\ -3x\ +\ 2$

Type YES or NO.

(a)

18.

Match the graph to its inequality.

a)

y > -x² - 5x - 6

b)

y > x² + x - 6

c)

y < x² - 5x + 6

d)

y < -x² - x + 6

19.

a)

y > x² + 5

b)

y < x² + 2

c)

y > x² + 2

d)

y ≥ x² + 2

20.

a)

y < x² + 2

b)

y ≤ x² + 2

c)

y ≥ x²+ 2

d)

y < x² - 2

21.

A function has a discriminant of 25.

______________

How many solutions does it have?

a)

0

b)

1

c)

2

d)

Cannot determine (not enough information)

22.

____________

For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Cannot determine (not enough information)

23.

If the discriminant is positive, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

two imaginary solutions

24.

If b² - 4ac < 0, then the roots of ax² + bx + c = 0 are

a)

Equal

b)

Irrational

c)

Rational

d)

Imaginary

25.

The property that says 2+3 is equivalent to 3+2

a)

distributive

b)

commutative

c)

associative

26.

The property that says that 2+(3+2) is equivalent to (2+3)+2

a)

commutative property of addition

b)

commutative property of multiplication

c)

associative property of addition

d)

distributive property

27.

The ________________ of 25 is ±5

a)

reciprocal

b)

square root

c)

integer

d)

ratio

28.

f(x)

a)

domain

b)

function notation

c)

correlation coefficient

d)

regression

29.

A curve that is created when you graph a quadratic

a)

V

b)

vertical

c)

parabola

d)

axis of symmetry

30.

Give the Nature of the Roots of a given Quadratic Equations with the following DISCRIMINANT:

D = 4

a)

The roots are EQUAL, REAL and RATIONAL

b)

The roots are UNEQUAL, REAL and RATIONAL

c)

The roots are UNEQUAL, REAL and IRRATIONAL

d)

The roots are UNEQUAL and IMAGINARY (NOT REAL)

31.

Select all the follow that is equal to 10?

a)

$\left(10^{\frac{1}{4}}\right)^4$

b)

$10^{\frac{1}{3}}+10^{\frac{1}{3}}+10^{\frac{1}{3}}$

c)

$\left(10^{\frac{1}{3}}\right)\left(10^{\frac{1}{3}}\right)\left(10^{\frac{1}{3}}\right)$

d)

$10^0$

32.

Select all the follow that is equal to 5?

a)

$\frac{5^{\frac{2}{3}}}{5^{\frac{2}{3}}}$

b)

$\left(5^{\frac{2}{3}}\right)\left(5^{\frac{2}{3}}\right)$

c)

$\left(5^{\frac{2}{3}}\right)\left(5^{\frac{1}{3}}\right)$

d)

$5^1$

33.

Select all the follow that is equal to $7^{\frac{5}{2}}$ ?

a)

$7^3$

b)

$\sqrt[2]{7\cdot7\cdot7\cdot7\cdot7}$

c)

$\sqrt[2]{7^5}$

d)

$7^{-3}$

34.

Select all expressions that are equivalent to $5^{-3}$ ?

a)

$\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)$

b)

$\frac{1}{5}\cdot\frac{1}{5}\cdot\frac{1}{5}$

c)

$\frac{1}{5\cdot5\cdot5}$

d)

$\frac{1}{125}$

35.

Simplify the expression $\left(4w\right)^{\frac{3}{18}}\left(4w\right)^{\frac{1}{18}}$

a)

$\sqrt[9]{16w^2}$

b)

$\sqrt[9]{\left(16w\right)^2}$

c)

$\sqrt[18]{4w^4}$

d)

$2\sqrt[18]{w^4}$

36.

A teacher listed the following equations on a board.

A. y = 2x - 2

B. y = 3x - 1

C. y = 0.5x

D. y = 4x

Which of the equations listed represent proportional relationships?

a)

All of the above

b)

B only

c)

c and d only

d)

None of the above

37.

Which point is the best estimate of $\sqrt{11}$ ?

a)

A.

b)

B.

c)

C.

d)

D.

e)

E.

38.

$The\ function\ f\left(x\right)=\ x^2-8x+12\ is\ strictly\ decrea\sin g\ in$

a)

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

b)

$\left(2,\ 6\right)$

c)

$\left(-\infty,\ 4\right)$

d)

$\left(4,\ \infty\right)$

39.

How many extrema are in the picture?

a)

2

b)

3

c)

4

d)

5

40.

Find $f\left(-4\right)$

a)

-2

b)

3

c)

-4

d)

undefined

41.

Simplify the ratio of
35 : 14

a)

5 : 2

b)

2 : 5

c)

3 : 1

d)

35: 14

42.

Convert the fraction to a decimal.

a)

0.1

b)

0.5

c)

.15

d)

0.2

43.

The value of 78 + 0 is

a)

0

b)

79

c)

78

d)

77

44.

The greater number in the subtraction is called

a)

Subtrahend

b)

Difference

c)

Minuend

d)

Addend

45.

The value of 67 - 24 is

a)

33

b)

63

c)

53

d)

43

46.

The value of 58 - 29 is

a)

31

b)

28

c)

29

d)

27

47.

The smaller number in the subtraction is called

a)

Addend

b)

Subtrahend

c)

Minuend

d)

Difference

48.

What is a scalene triangle?

a)

A triangle with all sides equal.

b)

A triangle with 2 sides and 2 angles equal.

c)

A triangle with 3 different sides.

d)

None of the above.

49.

What is the name given to a polygon with 7 sides?

a)

hexagon

b)

pentagon

c)

octagon

d)

heptagon

50.

The ------------- is a line which joins two points on the circumference of a circle.

(a)

51.

Which of the following is an obtuse angle?

a)

$25\degree$

b)

$315\degree$

c)

$180\degree$

d)

$104\degree$

52.

What is the nth term of the sequence 3, 9, 15, 21, .......?

a)

$6n-2$

b)

$6n+2$

c)

$6n+3$

d)

$6n-3$

53.

Evaluate $\frac{3}{8}+\frac{1}{4}\times3\frac{1}{3}$

a)

$\frac{25}{12}$

b)

$\frac{29}{24}$

c)

$1\frac{7}{24}$

d)

$2\frac{1}{12}$

54.

Evaluate $5^0+5^3\times5^{-4}$

a)

$\frac{1}{5}$

b)

$1\frac{1}{5}$

c)

$\frac{1}{4}$

d)

$1\frac{1}{4}$

55.

Find the curved surface area of a cylinder with a radius of 5cm and a height of 12cm.

a)

189 $cm^2$

b)

942 $cm^2$

c)

471 $cm^2$

d)

377 $cm^2$

56.

Describe the rule for this sequence

5, 12, 19, 26......

a)

Add five each time

b)

Add seven each time

c)

Subtract seven each time

d)

Add 8 each time

57.

Describe the rule for this sequence

2, 4, 8, 16

a)

add 8 each time

b)

add 4 each time

c)

add 2 each time

d)

Double the previous term

58.

What is the missing term in this sequence

4, ....., 8, 10

a)

5

b)

6

c)

7

d)

8

59.

Which of the following is equivalent to $3^5$ ?

a)

5*5*5

b)

5*3

c)

3*3*3*3*3

d)

3*5

60.

Which of the following is equivalent to $\frac{1}{8}$ ?

a)

$8^{\frac{1}{2}}$

b)

$8^{-1}$

c)

$8^1$

d)

$\frac{1}{8^2}$

61.

How would you write 125 as an exponential with base 5?

a)

$5^3$

b)

$5^5$

c)

$5^{25}$

d)

$5^{125}$

62.

How would you write 64 as an exponential with base 2?

a)

$2^4$

b)

$2^5$

c)

$2^6$

d)

$2^7$

63.

Solve for x:

$2^{x+4}\cdot2^{4x+6}=2^{2x+1}$

a)

3

b)

-9

c)

-3

d)

9

64.

Solve for x:

$8^{6x+4}=64$

a)

$-\frac{4}{3}$

b)

$-\frac{1}{3}$

c)

$\frac{1}{2}$

d)

$\frac{2}{3}$

65.

Solve for x:

$\frac{1}{3}=3^{4x+3}$

a)

2

b)

-3

c)

1/2

d)

-1

66.

Solve for x:

$5^3=25^{2x+1}$

a)

1/2

b)

-1

c)

1/4

d)

-3

67.

$f\left(x\right)=x^2+6x-9$

a)

Exponential Function

b)

Exponential Equation

c)

Exponential Inequality

d)

None of these

68.

What conic section is pictured?

a)

Circle

b)

Ellipse

c)

Parabola

d)

Hyperbola

69.

What conic section is pictured?

a)

Circle

b)

Ellipse

c)

Parabola

d)

Hyperbola

70.

The first step in rDNA technology is

a)

Isolation of gene of interest

b)

Transformation

c)

Identification and Isolation of donor gene

d)

Selection of donor gene

71.

Which of the following is the evidence of the expansion of universe?

a)

Blue shift

b)

Red shift

c)

Cosmic microwave background radiation (CMBR)

d)

Supernova

72.

Which of the following equations represents Hubble's law?

a)

v = Hd

b)

v = H/d

c)

d = vH

d)

H = d/v

73.

A group of stars in a recognizable pattern is called as

a)

Nebulae

b)

Stellar Cluster

c)

Constellation

d)

Galaxy

74.

The nuclear reaction that takes place in the core of the stars is

a)

Nuclear disposition

b)

Nuclear fission

c)

Nuclear fusion

d)

Nuclear composition

75.

Our sun in the milky way galaxy belongs to the main sequence stars of HR Diagram

a)

True

b)

False

76.

The point of no return near a black hole past which not even light can escape is the...

a)

singularity

b)

event horizon

c)

jet

d)

accretion disk

77.

Where does all the mass that created a black hole go?

a)

event horizon

b)

accretion disk

c)

singularity

d)

jets

78.

What does LIGO detect?

a)

Visible Light

b)

X-rays

c)

Radio Waves

d)

Gravitational Waves

79.

How fast do gravitational waves travel?

a)

instantaneously

b)

faster than the speed of light

c)

slower than the speed of light

d)

at the speed of light

80.

If the Sun suddenly disappeared how long would it take to affect Earth's orbit?

a)

instantaneously

b)

8 minutes

c)

it never would

Maths Quiz2

Total questions: 80

Worksheet time: 2hrs 29mins

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