Free Printable Enjoy With Math

1.

$1-$ Which of the following 2nd degree equations is in canonical form?

a)

$7x^2\ +\ 3x\ -5\ +1\ =0$

b)

$7x^2\ +\ 3x\ -5\ =\ 1$

c)

$7x^2\ +\ 3x\ -4\ =0$

d)

$x\left(7x\ +\ 3\right)\ -\ 4\ =0$

2.

$2-$ The discriminant binomial of the equation $-3x^2\ -\ 4x\ +\ 1\ =\ 0$ is:

a)

4

b)

-4

c)

28

d)

-28

3.

$3- \$ the equation $x^2\ =3x\ +12$

a)

Have two solutions

b)

Have no solutions

c)

Have one solution

d)

Have three solutions

4.

$4-$ The area of the rectangle represented in the figure is $112\ cm^2$ . What is the equation that translates this situation?

a)

$x^2\ +\ 6\ =112$

b)

$x^2\ +\ 6x\ =112$

c)

$x^2\left(x+6\right)=112$

d)

$x^2\ +\ 6x\ +112\ =\ 0$

5.

$5-$ The area of the rectangle represented in the figure is $112 \ cm ^ 2$ . The dimensions of the rectangle are:

a)

8 e 14

b)

2 e 8

c)

-14 e -8

d)

- 8 e 6

6.

$6- \$ Put the following equation: $4\left(x^2+x\right)=1-x^2$ in canonical form and says the value of a, b and c.

a)

$\alpha=5x^2\ ;b=4x\ ;c=1$

b)

$\alpha=5x^2\ ;b=4x\ ;c=-1$

c)

a = 5; b = 4; c = 1

d)

a = 5; b = 4; c = -1

7.

$7-$ The temperature C (degrees Celsius) of a car engine is regulated so that it varies over time (in minutes) according to the expression:

C\left(t\right)=200-0,2t^2+12t,\ with\ 0\le t\le20

Calculates temperature at instant t=0.

a)

$C\left(0\right)=200ºC$

b)

$C\left(0\right)=20ºC$

c)

$C\left(0\right)=12ºC$

d)

$C\left(0\right)=20$

8.

$8-$ Consider a second-degree equation of type $ax^2−bx+c=0$ indicates $a,\ b,\ c$ and identifies whether it is complete/incomplete.

a)

$a=7\ \ b=-8\ \ c=4\ \ \ \ Incomplete$

b)

$a=4\ \ b=7\ \ c=8\ \ \ \ Complete$

c)

$a=7x\ \ b=-8\ \ c=4x^2\ \ \ \ Incomplete$

d)

$a=4\ \ b=7\ \ c=-8\ \ \ \ Complete$

9.

$9-$ Which of the following options represents the canonical form of the following equation.

a)

$a=5x^{2\ };\ b=x\ ;\ c=-6$

b)

$a=5\ \ ;\ b=1\ \ ;\ c=-6$

c)

$a=5\ ;\ b=1\ ;\ c=6$

d)

$a=5\ \ ;\ b=x\ \ ;\ c=6$

10.

$10-$ Solve the following equation in the resolvent formula. $a=2;\ \ b=4;\ c=-3$

a)

b)

c)

d)

11.

$11-\$ Solves the following equation using the solver form. $\frac{\text{}x-1}{2}-\frac{\text{x(3-x)}}{\text{3}}=x\ +\frac{1}{3}$

a)

$\left\{-\frac{1}{2};\ 5\right\}$

b)

$\left\{\frac{1}{2};\ 5\right\}$

c)

$\left\{\frac{2}{4};\ 5\right\}$

d)

$\left\{\frac{2}{4};\ -5\right\}$

Enjoy With Math

Total questions: 11

Worksheet time: 11mins

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