Free Printable LONG QUIZ #2 for Grade 9

1.

Factor: x² + 9x + 18

a)

(x + 3)(x + 6)

b)

(x + 9)(x + 2)

c)

(x - 3)(x - 6)

d)

(x + 3)²

2.

Factor:

x² -17x - 60

a)

(x - 20) (x + 3)

b)

(x - 3) (x - 20)

c)

(x - 3) (x + 20)

d)

(x + 3) (x + 20)

3.

Factor: x²+10x+16

a)

(x+2) (x+8)

b)

(x+1) (x+16)

c)

(x-2) (x-8)

d)

(x+6) (x+10)

4.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 4 and x = 5

c)

x = 20 and x = -9

d)

x = -4 and x = 5

5.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = -9 and x = 2

c)

x = 3 and x = -6

d)

x = 9 and x = -2

6.

Solve for a by factoring.

a² + 2a - 24 = 0

a)

a = -6 and a = 4

b)

a = 12 and a = -2

c)

a = 6 and a = -4

d)

a = 8 and a = -3

7.

Solve by factoring:

x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 4 and x = 5

c)

x = 20 and x = -9

d)

x = -4 and x = 5

8.

Solve the equation by factoring:

x²- 6x = -8

a)

x=2 and x=4

b)

x= -2 and x=4

c)

x= -2 and x= -4

d)

x=2 and x= -4

9.

What are the factors of

25x² - 81?

a)

(5x - 9)(5x + 9)

b)

(5x + 9)(5x + 9)

c)

(5x - 9)(5x - 9)

d)

Prime (Can't be factored)

10.

Factor this Quadratic $3x^2+13x-10=0$

a)

(3x+2)(x−5)=0

b)

(5x−3)(x+2)=0

c)

(3x−2)(x+5)=0

d)

(3x−3)(x+5)=0

11.

Find the missing value "c" to complete the square.

x² + 6x + ____

a)

9

b)

36

c)

12

d)

-9

12.

Given the perfect square trinomial, identify the equivalent expression

x²-18x+81

a)

(x-18)²

b)

(x+81)²

c)

(x-9)²

d)

(x+9)²

13.

When factoring

x² - 4x + 4 = 20,

what goes in the blank?

(x - __ )² = 20

a)

4

b)

8

c)

2

d)

20

14.

Complete the Square

x² + 6x = 5

a)

(x + 3)² = 5

b)

(x + 3)² = 14

c)

(x + 6)² = 9

d)

(x + 6)² = 14

15.

Solve by completing the square.

x² +12x = 5

a)

$x=6+\sqrt{41}\ \ and\ \ \ \ x=6-\sqrt{41}$

b)

$x=-6+\sqrt{41}\ \ and\ \ \ \ x=-6-\sqrt{41}$

c)

x = 35 and x= 47

d)

$x=\sqrt{35}\ \ and\ \ x=\ \sqrt{41}$

16.

To solve by completing the square, what needs to be moved in this equation?

x² = 9 - 4x

a)

the -4x

b)

the x²

c)

the 9

17.

What is the formula of calculate the new C-term

a)

$c=\frac{b}{2}$

b)

$c=\left(\frac{b}{2}\right)^2$

c)

$c=\frac{-b}{2a}$

d)

$c=\left(\frac{b}{4}\right)^2$

18.

What did you need to add to both sides to complete the square?

$x^2-12x+_{ }$ ____ = 20 + _____

a)

6

b)

10

c)

36

d)

144

19.

When do you use the plus or minus symbol?

±

a)

After taking the square root of both sides

b)

After taking half of b

c)

After adding the square to both sides

d)

After setting the equation equal to zero

20.

What is the degree of every Quadratic Equation?

a)

1

b)

3

c)

2

d)

4

21.

What is the greatest number of solutions that a Quadratic Equation can have?

a)

0

b)

2

c)

1

d)

3

22.

Mike solved the equation x² + 8x = 14 by completing the square. Which of the following equations is part of the correct solution.

a)

(x + 4)² = 14

b)

(x + 4)² = 30

c)

(x + 4)² = 18

d)

(x+ 4)² = 30

23.

Simplify $\sqrt{-64}$

a)

$\pm8$

b)

$\pm8i$

c)

$-8$

d)

$8$

24.

Solve the following quadratics equation by completing the square...

x² + 6x - 3 = 0

a)

$x=-3\pm\sqrt{12}$

b)

$x=12\pm\sqrt{3}$

c)

$x=3\pm\sqrt{12}$

d)

$x=-12\pm\sqrt{3}$

25.

What are the factors of $x^2-x-56=0$

a)

$\left(x-7\right)\left(x+8\right)$

b)

$\left(x+7\right)\left(x-8\right)$

c)

$\left(x-9\right)\left(x+8\right)$

d)

$\left(x-8\right)\left(x+9\right)$

LONG QUIZ #2 for Grade 9

Total questions: 25

Worksheet time: 13mins

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