Free Printable Long Quiz Math 3- Grade 9

1.

What is the equation for the axis of symmetry for the given function?

a)

x = −5

b)

x = −2.5

c)

x = 0

d)

x = −10

2.

Convert the equation y= x²+ 4x + 11 into vertex form.

a)

y = (x + 2)² - 4

b)

y = (x + 2)² + 7

c)

y = (x + 2)²

d)

y = (x - 2)² - 7

3.

What is the vertex of the function

f(x) = x² - 6x + 10?

a)

(3,-1)

b)

(3,1)

c)

(-3,1)

d)

(-3,-1)

4.

In the quadratic equation $x^2+x-5=0$ what is the nature of the roots?

a)

real, rational and equal roots

b)

real, rational and unequal roots

c)

real, irrational and unequal roots

d)

imaginary roots

5.

What are the binomial factors of this perfect square trinomial

y = x² - 12x + 36?

a)

(x + 6)(x - 6)

b)

(x + 3)(x + 12)

c)

(x - 3)(x -12)

d)

(x - 6)(x - 6)

6.

Which of the following functions represents the vertex form of

y = x²+ 16x + 31?

a)

y = (x + 8)² - 33

b)

y = (x + 8)² + 95

c)

y = (x - 8)² - 33

d)

y = (x - 8)² - 95

7.

Which of the following is NOT a quadratic function

a)

f(x) = -3x²

b)

f(x) = -5x - x²

c)

y = 3x³- 4x + 5

d)

A = pi.r²

8.

Find the solution to the quadratic equation:

x^2+6x+5=0

a)

x = {6, 5}

b)

x = {-6, -5}

c)

x = {-5, -1}

d)

x = {1, 5}

9.

Find the solution(s) to the quadratic equation:

x^2-81=0

a)

x = {9}

b)

x = {-9}

c)

x = {-9, 9}

d)

No solution

10.

What is the SUM of the roots of quadratic equation x² + 13x + 42 = 0?

a)

-42

b)

-13

c)

13

d)

42

11.

What is the PRODUCT of the roots of x² – 15x + 26 = 0?

a)

-26

b)

-15

c)

15

d)

26

12.

Determine the SUM of the roots of the given quadratic equation below:

14x^2+3x-5=0

a)

$-\frac{5}{14}$

b)

$\frac{3}{14}$

c)

$-\frac{3}{14}$

13.

Determine the PRODUCT of the roots of the given quadratic equation below:

14x^2+3x-5=0

a)

$-\frac{5}{14}$

b)

$\frac{5}{14}$

c)

$\frac{3}{14}$

14.

What are the solutions to $\left(x-6\right)^2=225$ ?

a)

A.

$x=21$ and $x=-9$

b)

B.

$x=21$ and $x=9$

c)

C.

$x=118.5$ and $x=106.5$

d)

D.

$x=231$ and $x=216$

15.

What are the solutions to $x^2+16x=8$ ?

a)

A.

$x=8\pm6\sqrt[]{2}$

b)

B.

$x=-16\pm2\sqrt[]{14}$

c)

C.

$x=-8\pm6\sqrt[]{2}$

d)

D.

$x=-8\pm2\sqrt[]{14}$

16.

Solve for the discriminant of the given equation -2x² -6x=0

a)

-36

b)

36

c)

0

d)

44

17.

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

a)

f(x) = (x + 6)² + 142

b)

f(x) = (x + 6)² - 34

c)

f(x) = (x + 6)² - 38

d)

f(x) = (x + 6)² + 34

18.

Convert f(x) = 3x²+ 6x - 5 to vertex form.

a)

f(x) = 3(x + 1)² - 8

b)

f(x) = 3(x - 1)² - 8

c)

f(x) = 3(x + 2)² - 8

d)

f(x) = 3(x - 2)² - 8

19.

$y=-3(x+5)^2-4$
Convert the equation from vertex form to standard form.

a)

y = 9x²- 15x + 21

b)

y = -3x²- 75x - 4

c)

y = 9x²+ 90x + 221

d)

y = -3x²- 30x - 79

20.

$y=-5(x+2)^2-10$
Convert the equation from vertex form to standard form.

a)

y = -5x²- 20x - 30

b)

y = -5x²- 4x - 10

c)

y = 25x² + 100x + 90

d)

y = 25x² - 10x - 30

Long Quiz Math 3- Grade 9

Total questions: 20

Worksheet time: 34mins

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