Free Printable MAT11L06 Solving quadratic equations

1.

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.

2.

Solve by factoring: x² = 7x + 18

a)

-7 or -18

b)

9 or 2

c)

9 or -2

d)

2 or 7

3.

Solve the Following Quadratic Equations

$2x^2+5x-12=0$ ?

a)

𝑥 = 4 or -7

b)

𝑥 = -2 or 14

c)

𝑥 = -4 or 3/2

d)

𝑥 = -25 or 28

4.

Solve the Following Quadratic Equations

$9x^2-4=0$ ?

a)

𝑥 = -4 or 1/9

b)

𝑥 = 4 or 9

c)

𝑥 = 3/2 or -3/2

d)

𝑥 = 2/3 or -2/3

5.

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)

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

6.

$x^2-7x=0$

Solve by the method of your choice.

a)

x = 7 only

b)

x = 0 only

c)

x = 0 and 7

d)

There is no real answer for this equation.

7.

Solve by factoring: x²- 9x + 20 =0

a)

x = -2, 10

b)

x = -5, -4

c)

x = 4, 5

d)

Not factorable

8.

a)

-3, 4

b)

3, 4

c)

-4, -3

d)

-3

9.

$Solve\ for\ c.\ \ \ \frac{3}{c}\ +\ 5\ =\ -10$

a)

c = -5

b)

$c\ =\frac{-1}{5}$

c)

$c\ =\ \frac{1}{5}$

d)

c = -45

10.

Solve the Equation: $\frac{1}{4\ }-\frac{1}{2r}=-\frac{3}{4r}$

a)

r = 1

b)

r = -1

c)

r = 0

d)

r = 10

MAT11L06 Solving quadratic equations

Total questions: 10

Worksheet time: 23mins

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