Free Printable Quadratics Test (Factoring)

1.

Which of the following is equivalent to $x^2+9x+18$

a)

(x+7)(x+2)

b)

(x-7)(x-2)

c)

(x+6)(x+3)

d)

(x-6)(x-3)

2.

Which is equivalent to $3x^2-2x-8$

a)

(x+4)(x-2)

b)

(3x+4)(x-2)

c)

(x+4)(3x-2)

d)

(3x-4)(x+2)

3.

Which of the following is a difference of squares

a)

$4x^2-9$

b)

$2x^2-9$

c)

$x^2+9$

d)

$4x^2+9$

4.

What value of c would make $x^2-6x+c$ factorable

a)

3

b)

-3

c)

9

d)

-9

5.

What is the greatest common factor for $15x^2yz^5-10xy^3z^3$

a)

5

b)

5xy

c)

$5xyz^3$

d)

$5x^2yz$

6.

What is the solution for $x^2+2x-3=0$

a)

-3 and 1

b)

-3 and 0

c)

3 and -1

d)

1 and 0

7.

What is the solutions for $x^2-10x=-16$

a)

4 and 5

b)

8 and 2

c)

1 and 4

d)

-8 and -2

8.

What is the solution for $2x^2-7x-15=0$

a)

5 and -3/2

b)

-5 and -3/2

c)

5 and -2/3

d)

-5 and -2/3

9.

Solve $x^2-25=0$

a)

5 and -5

b)

5

c)

-5

d)

no solution

10.

What is true about $x^2+20=0$

a)

Two solutions, $\pm\sqrt{20}$

b)

One solution $\sqrt{20}$

c)

Two solutions $\pm2\sqrt{5}$

d)

No real solutions

11.

A quadratic when graphed is a

a)

line

b)

parabola

c)

circle

d)

none of these

12.

A solution to a quadratic equation is

a)

only obtainable by using the quadratic formula

b)

the y-intercepts of the quadratic

c)

the x-intercepts of the quadratic

d)

will always be two different numbers

13.

How many solutions does the following parabola have?

a)

0

b)

1

c)

2

d)

more than 2

14.

A graph of a quadratic will ______ have two solutions

a)

always

b)

sometimes

c)

never

d)

Not THESE questions again.

15.

Factor $8x^3+27$

a)

Cannot be done, not set = 0

b)

$\left(2x+3\right)\left(4x^2-6x+9\right)$

c)

$\left(2x-3\right)\left(4x^2-6x+9\right)$

d)

$\left(2x+3\right)\left(4x^2+6x+9\right)$

16.

How MANY solutions would $x^3-x^2-6x=0$ have?

a)

0

b)

1

c)

2

d)

3

17.

You are solving $x^2-7x+11=0\$ is solved with the quadratic formula, what number ends up inside the radical?

a)

-5

b)

5

c)

-93

d)

93

18.

Solve using the quadratic Formula $2x^2-5x-1=0$

a)

$\frac{5\pm\sqrt{17}}{4}$

b)

$\frac{-5\pm\sqrt{17}}{4}$

c)

$\frac{5\pm\sqrt{33}}{4}$

d)

$\frac{-5\pm\sqrt{33}}{4}$

19.

If you use the quadratic formula and get a negative inside the radical, what does this mean?

4 lines

20.

$x^2-x-6=7;\ \ \left(x-3\right)=7;\ \ \left(x+2\right)=7$ EXPLAIN what is wrong with the above?

4 lines

Quadratics Test (Factoring)

Total questions: 20

Worksheet time: 2hrs 40mins

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