Free Printable M2 Unit 6 test

1.

Elena Delle Donne plays for the Washington Mystics. At the free throw line, she launches the ball from 7ft with an initial velocity of 24ft/sec. What is the equation for the parabola created from the ball headed towards the basket?

a)

$-16x^2+24x+7$

b)

$-16x^2+7x+24$

c)

$-16x^2-24x-7$

d)

$-16x^2-7x-24$

2.

Elena Delle Donne plays for the Washington Mystics. At the free throw line, she launches the ball from 7ft with an initial velocity of 24ft/sec. What is the maximum height of the basketball on its path to the hoop?

a)

7 feet

b)

15 feet

c)

16 feet

d)

10 feet

3.

Elena Delle Donne plays for the Washington Mystics. At the free throw line, she launches the ball from 7ft with an initial velocity of 24ft/sec. On a regulation court, the hoop is 10 feet off of the ground. At what time will Elana's ball make it into the hoop?

a)

0.135 seconds

b)

0.75 seconds

c)

1 second

d)

1.36 seconds

4.

Elena Delle Donne plays for the Washington Mystics. At the free throw line, she launches the ball from 7ft with an initial velocity of 24ft/sec. At what time will Elana's ball make it to its maximum height?

a)

0.135 seconds

b)

0.75 seconds

c)

1 second

d)

1.36 seconds

5.

A rocket is launched from the ground with an initial velocity of 112 ft/sec. At what time will the rocket hit the ground??

a)

1 second

b)

3.5 seconds

c)

5 seconds

d)

7 seconds

6.

A rocket is launched from the ground with an initial velocity of 112 ft/sec. At what time will the rocket reach its maximum height?

a)

1 second

b)

3.5 seconds

c)

5 seconds

d)

7 seconds

7.

A rocket is launched from the ground with an initial velocity of 112 ft/sec. What is the equation for the path of the rocket?

a)

$-16x^2+112x$

b)

$-16x^2+112$

c)

$-16x^2-112x$

d)

$-16x^2-112$

8.

A rocket is launched from the ground with an initial velocity of 112 ft/sec. How many times will the rocket be 160 feet high?

a)

1 time

b)

2 times

c)

Never

d)

The entire time it is in the air

9.

A rocket is launched from the ground with an initial velocity of 112 ft/sec. When is the second time the rocket will be 95 feet in the air?

a)

1 second

b)

6 seconds

c)

2 seconds

d)

5 seconds

10.

Simplify the radical $\sqrt[]{625}$

a)

$50\ \sqrt[]{5}$

b)

$10\ \sqrt[]{5}$

c)

25

d)

$6\ \sqrt[]{50}$

11.

Simplify the radical $\sqrt[]{48}$

a)

$4\ \sqrt[]{3}$

b)

$3\ \sqrt[]{4}$

c)

$2\ \sqrt[]{6}$

d)

7

12.

Simplify the quadratic equation using the quadratic formula.

$2x^2+7x+5=0$

a)

$\frac{\left(-7\pm3\right)}{4}$

b)

$\frac{\left(7\pm3\right)}{4}$

c)

$\frac{\left(-7\pm\sqrt[]{89}\right)}{4}$

d)

$\frac{\left(7\pm\sqrt[]{89}\right)}{4}$

13.

For the following quadratic equation, what are the a, b, and c values?

$-3x^2+5x-20=0$

a)

a= -3

b= 5

c= -20

b)

a= 3

b= -20

c= 5

c)

a= 3

b= -5

c= 20

d)

a= -3

b= 20

c= -5

14.

For the following quadratic equation, what are the a, b, and c values?

$-x^2+9x-2=-147$

a)

a= -1

b= 9

c= 145

b)

a= -1

b= -9

c= -149

c)

a= 1

b= 9

c= 145

d)

a= 1

b= -9

c= -149

15.

For the following quadratic equation, what are the a, b, and c values?

$6x^2-3x=11x$

a)

a= 6

b= -14

c= 0

b)

a= 6

b= 9

c= 0

c)

a= 6

b= -3

c= 11

d)

a= 6

b= -3

c= -0

16.

Simplify the quadratic equation using the quadratic formula.

$4x^2+20x+37\ =\ 0$

a)

$\frac{\left(-20\pm8i\ \sqrt[]{3}\right)}{8}$

b)

$\frac{\left(-5\pm2i\ \sqrt[]{3}\right)}{2}$

c)

$\frac{\left(20\pm8\ \sqrt[]{3}\right)}{8}$

d)

$\frac{\left(5\pm2\ \sqrt[]{3}\right)}{2}$

17.

Factor the quadratic equation.

$x^2-10x+18=x$

a)

(x-9)(x-2)

b)

(x+9)(x+2)

c)

(x-9)(x+2)

d)

(x+9)(x-2)

18.

Factor the quadratic equation.

$x^2-15x+7=-6x-1$

a)

(x-1)(x-8)

b)

(x+8)(x+1)

c)

(x-1)(x+8)

d)

(x+1)(x-8)

19.

Solve the quadratic equation by square root.

$\left(x-2\right)^2=16$

a)

$x=-2\pm4$

b)

$x=2\pm4$

c)

$x=\pm6$

d)

$x=\pm2$

20.

Solve the quadratic equation with square root.

$\left(x+3\right)^2-6=19$

a)

$x=-3\pm5$

b)

$x=-3\pm\sqrt[]{19}$

c)

$x=9\pm\sqrt[]{19}$

d)

$x=3\pm\sqrt[]{25}$

M2 Unit 6 test

Total questions: 20

Worksheet time: 10mins

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