Free Printable MATHEMAICS 9 INVENTORY EXAM

1.

1. The equation 2x + 5 = 9 is __________.

a)

Quadratic

b)

Not Quadratic

2.

In the equation

x^2-x-2

what is the value of a?

a)

1

b)

-1

c)

2

d)

-2

3.

It is a polynomial equation of degree two that can be written in the form $ax^2+bx+c=0$ , where a, b, and c are real numbers and $a\ne0$

a)

Quadratic Equations

b)

Linear Equations

4.

What is the standard form of a quadratic equation?

a)

ax² + bx + c = 0

b)

ax² + bx = 0

c)

ax² + bx = c

5.

In the equation $2x^2+5x-3=0$ , what is the value of c?

a)

2

b)

3

c)

5

d)

-3

6.

What is the meaning of the Latin word "quadratus"

a)

Quadratic

b)

Cube

c)

Squared

7.

The equation (2x - 7)² = 0 is __________.

a)

Quadratic

b)

Not Quadratic

8.

Which of the following is a constant term?

a)

$5x^2$

b)

2x

c)

x

d)

8

9.

Which of the following is a linear term?

a)

$x^2$

b)

$9x$

c)

0

d)

1

10.

Which of the following is the product of (x+3)(x+3)?

a)

𝑥²+6x+9

b)

𝑥²+9x+6

c)

𝑥²+6x+6

d)

𝑥²+9x+9

11.

It is called the "Equation of Degree 2"

a)

Linear Equation

b)

Quadratic Equation

c)

Constant Equation

12.

$2x^2=−3x+1$

What is the standard form.

a)

$2x^2+3x+1=0$

b)

$2x^2+3x−1=0$

c)

$2x^2−3x+1=0$

13.

In quadratic equations, can the value of a be equal to zero?

a)

Yes

b)

No

c)

Maybe

14.

$Simplify\ the\ equation\ 3x\left(x-1\right)=4$

a)

$3x^2-3x-4=0$

b)

$3x^2+3x+4=0$

c)

$3x^2+x−4=0$

15.

$In\ the\ equation\ x^2+5x−6=0,\ the\ linear\ term\ is$

a)

1

b)

5

c)

-6

d)

0

16.

Identify which of the following equations is a Quadratic or not.

3m + 8 = 15

a)

Quadratic Equation

b)

Not Quadratic Equation

17.

Identify which of the following equations is a Quadratic or not.

x² - 5x + 10 = 0

a)

Quadratic Equation

b)

Not Quadratic Equation

18.

Identify which of the following equations is a Quadratic or not.

12 - 4x = 0

a)

Quadratic Equation

b)

Not Quadratic Equation

19.

Identify which of the following equations is a Quadratic or not.

2t² - 7t = 12

a)

Quadratic Equation

b)

Not Quadratic Equation

20.

Identify which of the following equations is a Quadratic or not.

6 - 2x + 3x²= 0

a)

Quadratic Equation

b)

Not Quadratic Equation

21.

Identify which of the following equations is a Quadratic or not.

25 - 3r²= 4r

a)

Quadratic Equation

b)

Not Quadratic Equation

22.

Identify which of the following equations is a Quadratic or not.

3x ( x - 2 ) = -7

a)

Quadratic Equation

b)

Not Quadratic Equation

23.

Identify which of the following equations is a Quadratic or not.

( x + 2 )² = 0

a)

Quadratic Equation

b)

Not Quadratic Equation

24.

Identify which of the following equations is a Quadratic or not.

( w - 8 ) ( w + 5 ) = 14

a)

Quadratic Equation

b)

Not Quadratic Equation

25.

Identify which of the following equations is a Quadratic or not.

3x - 2x² = 7

a)

Quadratic Equation

b)

Not Quadratic Equation

26.

Find the solutions of the equation x² - 16 = 0 by extracting the square root.

a)

x = 4 and x = -4

b)

x = 4

c)

x = -4

d)

no answer

27.

Find the roots of the quadratic equation 2s² = 50.

a)

s = 25 and s = -25

b)

s = 5 and s = -5

c)

s = 5 and s = 25

d)

s = -5 and s= -25

28.

What equation has the roots of x = 7 and x = -7?

a)

x² - 14 = 0

b)

x² - 49 = 0

c)

x² + 49 = 0

d)

x² = 14

29.

What are the roots of the quadratic equation (s - 4)² - 81 = 0?

a)

s = 9/2 and s = -9/2

b)

s = 9 and s= -9

c)

s = 2 and s = -2

d)

s = 13 and s = -13

30.

What are the roots of the quadratic equation 3t² = 12?

a)

t =4 and t = -4

b)

t = 2 and t = -2

c)

t = 3 and t = -3

d)

t = 9 and t = -9

31.

Which of the following quadratic equations can be solved by extracting square roots?

a)

x² + 3x – 4 = 0

b)

x² – 36 = 0

c)

(x + 1) (x – 3)

d)

2x² – 5x – 7 = 0

32.

What is the solution of the equation a² – 60 = 21?

a)

positive or negative 4

b)

positive or negative 6

c)

positive or negative 7

d)

positive or negative 9

33.

Which of the following has a solution of x = 5?

a)

x² – 5 = 0

b)

x² – 50 = 0

c)

2x² – 50 = 0

d)

2x² – 10 = 0

34.

How many real solution/s or root/s does the equation

n² = 0?

a)

0

b)

1

c)

2

d)

3

35.

John is solving for equation (3y – 3)² – 144 = 0 by extracting square roots. Which of the following solution will arrive?

a)

5 and –3

b)

–5 and 3

c)

7 and –4

d)

–12 and 3

36.

What is the first step in solving this quadratic equation? $x^2+5x=6$

a)

Factor

b)

Subtract 6 from both sides to set the equation equal to 0

c)

Set each factor equal to 0

d)

Combine like terms

37.

The solutions of the quadratic equation
x²+5x+6=0 are

a)

x= -3 or x = -2

b)

x = -6 or x = 1

c)

x = 3 or x = 2

d)

x = -3 or x = 2

38.

The solutions of the quadratic equation
x²+x+3=0 are

a)

x = 1 or x = 3

b)

x = -1 or x = -3

c)

x = -3 or x = 1

d)

No solutions

39.

The solutions of the quadratic equation
x²4x+4=0 are

a)

x = 2

b)

x = -2

c)

x = -4 or x = 1

d)

x = -4 or x = -1

40.

The solutions of the quadratic equation
x²-x-12=0 are

a)

x = 4 or x = -3

b)

x = -3 or x = -4

c)

x = 6 or x = 2

d)

x = 4 or x = 3

41.

The solutions of the quadratic equation
x²-3x-10=0 are

a)

x = 10 or x = -1

b)

x = 1 or x = -10

c)

x = -5 or x = 2

d)

x = 5 or x = -2

42.

The solutions of the quadratic equation
x²+12x+35=0 are

a)

x = -5 or x = -7

b)

x = 5 or x = 7

c)

x = -35 or x = -1

d)

x = -9 or x = -4

43.

The solutions of the quadratic equation
x²-6x+8=0 are

a)

x = -2 or x = -4

b)

x = 2 or x = 4

c)

x = 8 or x = -1

d)

x = 8 or x = 1

44.

The solutions of the quadratic equation
x²+9x+18=0 are

a)

x = 3 or x = 6

b)

x = -2 or x = -9

c)

x = 2 or x = 9

d)

x = -3 or x = -6

45.

Factor: x² - 2x - 24

a)

(x + 6)(x - 4)

b)

(x + 4)(x - 6)

c)

(x - 4)(x - 6))

d)

(x - 3)(x + 8)

46.

Solve for x

$5x=0$

a)

x=0

b)

x=5

c)

x=2

d)

x= -5

47.

Solve for x

x+5=0

a)

x=0

b)

x=5

c)

x=2

d)

x= -5

48.

Solve for x

$x-5=0$

a)

x=0

b)

x=5

c)

x=2

d)

x= -5

49.

Solve for x

$3x-6=0$

a)

x=0

b)

x=5

c)

x=2

d)

x= -5

50.

Solve for x

$\left(x\right)\left(4\right)=0$

a)

x=0

b)

x=4

c)

x= -4

d)

x= 1/4

51.

If the answer is ZERO, what must be true?

$xy=0$

a)

Both

x=0 and y=0

b)

Either

x=0 OR y=0

c)

x=2 and y=1/2

d)

x=2 and y= -1/2

52.

When you multiply, if the answer is 0, then one of the factors must be zero

$\ if\ ab=0\$

then either

$a=0\ \ \ OR\ \ \ b=0$

$0\cdot b=0\ \ \ \ \ \ \ \ \ \ \ \ \ a\cdot0=0$

a)

TRUE

b)

FALSE

53.

$\left(x+5\right)\left(x-2\right)=0$

Solve for x:

$\left(x-5\right)=0\ \ \ \ \ OR\ \ \ \ \ \left(x+2\right)=0$

a)

x=5

x=2

b)

x= -5

x= -2

c)

x=5

x= -2

d)

x= -5

x=2

54.

Solve for x

$\left(x+4\right)\left(x+1\right)=0$

a)

x=4

x=1

b)

x= -4

x= -1

c)

x= 4

x= -1

d)

x= -4

x=1

55.

Solve for x

x(x-4)=0

a)

x=0

x=4

b)

x=0

x= -4

c)

x=1

x=4

d)

x= -1

x= -4

56.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract the 21

57.

Solve the following equation by completing the square:
n² - 2n - 3 = 0

a)

{3 and-1}

b)

{4 and -4}

c)

{5 and -3}

d)

{8 and -7}

58.

Complete the Square

x² + 6x - 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

59.

Convert to vertex form.

a)

y=3(x+1)² - 8

b)

y=3(x-1)² - 8

c)

y=3(x+2)² - 8

d)

y=3(x-2)² - 8

60.

Convert to vertex form.

a)

y=-2(x+12)² - 67

b)

y=-2(x-12)² - 67

c)

y=-2(x-6)² - 67

d)

y=-2(x+6)² - 67

61.

Which of the following equations shows the vertex form of a quadratic?

a)

x = -b/2a

b)

x = (-b ±√b² - 4ac)/2a

c)

y = ax² + bx + c

d)

y = a(x - h)² + k

62.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

63.

Complete the square.
x² + 6x + ____

a)

x² + 6x + 9

b)

x² + 6x - 36

c)

x² + 6x + 36

d)

x² + 6x - 9

64.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

65.

Complete the Square
x² + 6x = 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

66.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

67.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

68.

Identify the 'c' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

69.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

70.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

71.

If the discriminant equals 0, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

2 Imaginary Solutions

72.

If the discriminant is positive, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

2 Imaginary Solution

73.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

74.

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

75.

a)

A

b)

B

c)

C

d)

D

76.

Which is true for the equation $x^2-5x+12=0?$

a)

There are two real roots

b)

There is one one repeated root

c)

There are no real roots

d)

There are two rational roots

77.

What is the value of $b^2-4ac\$ for equation $p^2=3p+2?$

a)

1

b)

17

c)

6

d)

14

78.

In the quadratic formula, the expression $b^2-4ac$ is called

a)

Dicriminant

b)

Numerator

c)

Divisor

d)

Denominator

79.

What is the number and types of solutions of the quadratic equation $x^2-7x+12=0?$

a)

One real solution

b)

Two real solutions

c)

Two complex but not real solutions

d)

All of the above

80.

If a,b and c are real and $b^2-4ac<0$ , then the roots of the equation are

a)

Real roots

b)

Real and equal

c)

Real and unequal

d)

No real roots

81.

Which of the following equations has no real roots?

a)

$2x^2+4x=3$

b)

$t^2-8t-4=0$

c)

$3s^2-2s=-5$

d)

$-2r^2+r+7=0$

82.

If the discriminant of a quadratic equation is $-8$ , how many real roots will the equation have?

a)

2

b)

1

c)

-1

d)

0

83.

If a quadratic equation has no real roots the value of the discriminant could be

a)

$-5$

b)

$5$

c)

$0$

d)

$1$

84.

What is the value of the discriminant for the equation $4x^2-12+9=0?$

a)

$0$

b)

$-12$

c)

$144$

d)

$1$

85.

Which of these equations has two real roots?

a)

$x^2+x+7=0$

b)

$x^2-5x=-4$

c)

$x^2+8x+16=0$

d)

$x^2-10x+12=0$

86.

What is the coefficient of the quadratic term or the value of a in the quadratic equation, x² – 2x – 35 = 0?

a)

1

b)

2

c)

35

d)

0

87.

What is the coefficient of the linear term or the value of b of x² + 14x + 48 = 0?

a)

1

b)

14

c)

48

d)

0

88.

What is the coefficient of the linear term or the value of b in the quadratic equation x² – 11x + 28 = 0?

a)

1

b)

11

c)

-11

d)

28

89.

What is the value of the coefficient of the constant term or c in the quadratic equation x² + 5x – 14 = 0?

a)

1

b)

5

c)

14

d)

-14

90.

What are the formulas in getting the sum and product of roots of a quadratic equation?

a)

$\frac{-b}{a}\ \ \ and\ \frac{c}{a}$

b)

$\frac{b}{a}and\ \frac{-c}{a}$

c)

$\frac{-b}{a}\ and\ \frac{-c}{a}$

d)

$\frac{b}{a}and\ \frac{c}{a}$

91.

What is the sum of the roots of the quadratic equation, x² + 5x – 14 = 0?

a)

5

b)

-5

c)

14

d)

-14

92.

What is the product of roots of the quadratic equation x² – 11x + 28 = 0?

a)

11

b)

-11

c)

28

d)

-28

93.

What is the sum and product of roots of x² – 2x – 35 = 0?

a)

2 and 35

b)

-2 and 35

c)

2 and -35

d)

-2 and -35

94.

What is the sum and product of roots of x² + 14x + 48 = 0?

a)

14 and 48

b)

-14 and 48

c)

14 and -48

d)

-14 and -48

95.

What is the quadratic equation whose roots are 7 and –5?

a)

x² + 2x +35 = 0

b)

x² – 2x – 35 = 0

c)

x² + 2x – 35 = 0

d)

x² – 2x +35 = 0

96.

A type of variation that involves 3 or more quantities that may vary directly.

a)

Direct Variation

b)

Inverse Variation

c)

Joint Variation

d)

Combined Variation

MATHEMAICS 9 INVENTORY EXAM

Total questions: 96

Worksheet time: 3hrs 44mins

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