Free Printable quadratic equation

1.

What is the standard form of quadratic equation?

a)

ax² + bx + c

b)

ax² + bx - c

c)

I don't know

d)

ax² + bx = -c

2.

Which of the following does NOT illustrate quadratic equation?

a)

x² – 3x = 1

b)

2z(z² – 2z)=5

c)

y(y-2)=0

d)

I don't know

3.

Find the value of b in the equation x² − 3x = 0

a)

1

b)

I don't know

c)

0

d)

-3

4.

Write 2(w² − 2w) = 5 in a standard form

a)

-2w² − 4w − 5 = 0

b)

I don't know

c)

2w² + 4w − 5 = 0

d)

2w² − 4w − 5 = 0

5.

What is the value of c in the equation z(z−1) = 3?

a)

3

b)

-3

c)

I don't know

d)

0

6.

Write the equation x² = 3x − 1 in a standard form.

a)

x² − 3x + 1 = 0

b)

x² + 3x + 1 = 0

c)

I don't know

d)

x² − 3x - 1 = 0

7.

Which of the following is a solution to the quadratic equation 4x² + 3x - 27 = 0?

a)

-2

b)

3

c)

-3

d)

I don't know

8.

Write (2x+3)(3x - 2) = 0 in standard form

a)

6x² + 5x - 6 =0

b)

6x² - 5x - 6 =0

c)

I don't know

d)

I don't know

9.

The solutions of the quadratic equation

x²-5x+6=0 are

a)

x=1 or x=-6

b)

x=3 or x=2

c)

x=-3 or x= 2

d)

I don't know

10.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

I don't know

d)

x = {-3,-8}

11.

What are the solutions to 5( x - 3 )² = 45?

a)

x = 6 and x = 0

b)

x = -3 and x = 45

c)

x = -6.71 and x = 6.71

d)

I don't know

12.

Factor x²-6x-40

a)

(x-10)(x+4)

b)

(x+10)(x-4)

c)

(x-8)(x+5)

d)

I don't know

13.

Solve the following for x by using the Quadratic Formula

2x²+6x=7

a)

b)

c)

d)

I don't know

14.

Determine the nature of roots of

-2x^2+3x+5=0

a)

two distinct real roots

b)

two equal real roots

c)

no real roots

15.

Determine the nature of roots of

2x^2-5x+9=0

a)

two distinct real roots

b)

two equal real roots

c)

no real roots

16.

Determine the values of p if

x^2+\left(p+3\right)x+p+6=0

have equal real roots

a)

$-5$

b)

$-3$

c)

3

d)

5

17.

Determine the values of p if

x^2-2px+7p-12=0

have equal real roots

a)

1

b)

2

c)

3

d)

4

18.

Which is the standard form for a quadratic equation?

a)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

b)

$ax^2+bx+c=0$

c)

$y=a\left(x-h\right)^2+k$

d)

$a^2+b^2=c^2$

19.

Perform the operations:
$\frac{-\left(4\right)\pm\sqrt{\left(4\right)^2-4\left(1\right)\left(3\right)}}{2\left(1\right)}$

a)

$-1\ and\ -3$

b)

$1\ and\ 3$

c)

$1\ and\ -3$

d)

$-1\ and\ 3$

20.

$7x^2=6x-1$

Given this quadratic equation, what could be the values a, b, and c to use in the quadratic formula?

a)

$a\ =\ 7,\ b\ =\ -6,\ c\ =\ 1$

b)

$a\ =\ 1,\ b\ =\ 6,\ c\ =\ -7$

c)

$a\ =\ -7,\ b\ =\ 6,\ c\ =\ 1$

d)

$a\ =\ 6,\ b\ =\ 7,\ c\ =\ 1$

21.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

22.

In the standard form $ax^2+bx+c=0$ , which of these parameters must not be equal to zero?

a)

x

b)

b

c)

c

d)

a

23.

Which of these equations is not quadratic?

a)

$\left(x+2\right)^2=x^2$

b)

$-8=\left(3x+7\right)^2$

c)

$2x^2-6=3x$

d)

$x\left(x+3\right)=6$

24.

$2x^2-7x+6=0$
check whether (i) x = $\frac{3}{2}$ , (ii) x = -2 are solutions of the equations.

a)

i) no ii)no

b)

i) yes ii) yes

c)

i) yes ii) no

d)

i) no ii) yes

25.

If x = 5 is a root of equation kx2 - 14x + 10 = 0 then find the value of k

a)

k = 1

b)

k = -1

c)

k = 0

d)

k = I don't know

26.

$x^2+10x-7=0$

Find the value of the discriminant of the equation

a)

128

b)

-128

c)

72

d)

I don't know

27.

If $\alpha$ and $\beta$ are the roots of the quadratic equation 2x2 - 6x - 5 = 0, then find $\left(i\right)\ \alpha+\beta\ \ and\ \left(\ ii\right)\ \alpha\beta$

a)

i) 3 and ii) -5/2

b)

i) -3 and ii) -5/2

c)

i) -3 and ii) 5/2

d)

I don't know

28.

The difference between the roots of the equation $x^2+13x+k=0$ is 1 find k

a)

k = 30

b)

k = 21

c)

k = 42

d)

I don't know

29.

$If\ \alpha\ and\ \beta\$ are the roots of $x^2+5x\ +1=0$ then find - $\left(i\right)\ \alpha^3+\beta^3\ and\ \left(ii\right)\ \alpha^2\ +\beta^2$ .

a)

i) -140 ii) 27

b)

i) 140 ii) -27

c)

i) -110 ii) 23

d)

i dont know

30.

Write the quadratic equation if addition of the roots is 10 and product of the roots = -9

a)

$x^2+10x\ -9\ =0$

b)

$x^2-10x\ +9\ =0$

c)

$x^2-10x\ -9\ =0$

d)

I don't know

31.

Obtain the quadratic equation if roots are 3, -7.

a)

$x^2\ +\ 10x\ +\ 21\ =0$

b)

$x^2\ +\ 10x\ -\ 21\ =0$

c)

$x^2\ +\ 4x\ -\ 21\ =0$

d)

I don't know

quadratic equation

Total questions: 31

Worksheet time: 38mins

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