Free Printable Cycle 2 test review

1.

Find the range of the function: $y=-1\sqrt{x+5}+3$

2.

Find the domain of

$p\left(x\right)=-2\sqrt[]{10-2x}+4$

3.

Find the range of

$j\left(x\right)=5-2\sqrt[2]{3-x}$

4.

Find the domain of

$y=5-2\sqrt[2]{3-x}$

5.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t² + 64t + 80

What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

6.

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

a)

8 seconds

b)

1 second

c)

1.5 seconds

d)

1/4 second

7.

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

When would you reach 16 feet above the water?

a)

8 seconds

b)

1 second

c)

1/2 second

d)

1/4 second

8.

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

a)

.25 ft

b)

24 ft

c)

25 ft

d)

8 ft

9.

The function h(t) = -16t²+60t + 130 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

a)

4.2 seconds

b)

4.9 seconds

c)

5.3 seconds

d)

5.8 seconds

e)

6.1 seconds

10.

How fast would you reach the water if you jump of a cliff using the formula: h(t) = -16t² + 8t + 24?

a)

8

b)

1

c)

1.5

d)

1/4

11.

What is the Vertex of the graph?

a)

(-4, -4)

b)

(0, 0)

c)

(-8, 0)

d)

(-2, -3)

12.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. How long does it take the rock to reach its maximum height?

a)

1.094 seconds

b)

174.141 seconds

c)

155 seconds

d)

4.393 seconds

e)

None of the above

13.

A toy rocket is launched from the top of hill. The rocket’s height h at any given second t is modeled by the equation

$h=\ -16t^2+32t+48$

How long was the rocket in the air?

a)

1

b)

3

c)

48

d)

64

e)

72

14.

Using quadratic regression to write a quadratic function to represent to model this relationship.

a)

$y=-\frac{1}{2}x^2+x$

b)

$y=-\frac{1}{3}x^2+x+4$

c)

$y=-5x^2-9x+1$

d)

$y=-0.667x^2+2x$

15.

Which of the following is the equation of the quadratic that contains (-5, 0), (-3, 8), and (-2, 6)

a)

$y=-2x^2-12x-10$

b)

$y=2x^2+12x-10$

c)

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

d)

$y=-2x^2-3x+8$

16.

The solutions of the quadratic equation

x²+12x+35=0 are (hint: find the zeros) FACTOR

a)

x = -5 or x = -7

b)

x = 5 or x = 7

c)

x = -35 or x = -1

d)

x = -9 or x = -4

17.

The solutions of the quadratic equation

x²+2x-15=0 are (hint: find the zeros) FACTOR

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

18.

What is the factored form of the quadratic equation

x^{2\ }-2x\ -35=0

a)

$\left(x\ +5\right)\left(x-7\right)$

b)

$\left(x-5\right)\left(x+7\right)$

c)

$\left(x-2\right)\left(x-33\right)$

d)

$\left(x+1\right)\left(x-35\right)$

19.

What is the factored form of the quadratic equation

x^{2\ }+3x\ -28=0

a)

$\left(x\ -4\right)\left(x+7\right)$

b)

$\left(x+4\right)\left(x-7\right)$

c)

$\left(x-2\right)\left(x-14\right)$

d)

$\left(x-2\right)\left(x+14\right)$

20.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

21.

a)

x = 81

b)

x = -9

c)

x = 9

d)

x = -81

e)

No Solution

22.

a)

x = 5

b)

x = -6

c)

x = 14

d)

x = -1

23.

a)

x = 57

b)

x = 10

c)

x = 12

d)

x = -4

24.

Solve the following equation. Make sure to check for extraneous roots.

$\sqrt[]{30+7r}=r$

a)

{10}

b)

{-3}

c)

{-4, -3}

d)

{10, -3}

25.

Solve the following equation. Make sure to check for extraneous roots.

$\sqrt[]{9-12p}+10=19$

26.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

27.

What is vertex of the quadratic function x²+4x-21?

a)

(4, -21)

b)

(-2,-25)

c)

(2, -21)

d)

(4, -25)

28.

What is the vertex of this parabola?

a)

(1, 2)

b)

(-1, -2)

c)

(1, -2)

d)

(-1, 2)

29.

$4\sqrt{x-3}=36$

a)

$x=21$

b)

$x=84$

c)

$x=78$

d)

$x=12$

30.

What is the axis of symmetry for this graph?

31.

What is the vertex?

(a)

32.

What's the axis of symmetry of y = -3x²- 6x + 4

33.

Find the y-intercept for

$y=2\left(x-5\right)^2-1$

(a)

34.

Find the range of

$h\left(x\right)=\frac{1}{2}\left(x-2\right)^2+5$

35.

Find the Axis of Symmetry of

$g\left(x\right)=\frac{1}{3}x^2-\frac{1}{2}x+1$

Cycle 2 test review

Total questions: 35

Worksheet time: 4hrs 43mins

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