Quiz about Algebra 2 Mid Year Review

Question 1

What is the equation of this graph?

Accepted Answer

f(x) = (x - 1)² - 5

Answer

f(x) = (x -5)² + 1

Answer

f(x) = (x + 1)² - 5

Answer

f(x) = (x + 5)² +1

Question 2

Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts

Accepted Answer

1 and 3

Answer

-1 and -3

Answer

1 and -3

Answer

-1 and 3

Question 3

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 4

What is the vertex?

Accepted Answer

(3, -1)

Answer

(2, 4)

Answer

(0, 8)

Answer

(4, 2)

Question 5

Find the x-intercepts of the equation f(x)=x²+2x-24

Accepted Answer

(4,0)  (-6,0)

Answer

(0,-24)

Answer

(6,0)  (-4,0)

Answer

(5,0)  (0,0)

Question 6

Evaluate (9 + 3i) (9 - 3i).

Accepted Answer

90

Answer

81 -9i

Answer

81 + 27i -9i²

Answer

81i - 9

Question 7

(10+3i) - (2-9i)

Accepted Answer

8+12i

Answer

20-27i

Answer

12-7i

Answer

20-27i2

Question 8

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?

Accepted Answer

45 feet

Answer

95 feet

Answer

70 feet

Answer

171.56 feet

Question 9

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of (f(g(4))

Accepted Answer

182

Answer

40

Answer

61

Answer

None of the Above

Question 10

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

Accepted Answer

5x² + 6x - 1

Answer

11x2 - 1

Answer

5x⁴ + 6x² - 1

Answer

5x² + 8x - 1

Question 11

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

Accepted Answer

8

Answer

-8

Answer

28

Answer

None of these.

Question 12

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

Accepted Answer

2x2+6

Answer

x2+2x+3

Answer

4x2+3

Answer

2x2+3

Question 13

What is the axis of symmetry of the given function?

Accepted Answer

x = 1

Answer

y = 1

Answer

y = -1

Answer

x = -1

Question 14

What is the vertex of the parabola: y=2(x-3)²+4

Accepted Answer

(3,4)

Answer

(-3,4)

Answer

(3, -4)

Answer

(-3,-4)

Question 15

What is the value of f(0)?

Accepted Answer

4

Answer

-2

Answer

2

Answer

0

Question 16

Evaluate f(33)

Accepted Answer

11

Answer

33

Answer

10

Answer

8

Question 17

h(k) = 7x + 4
What is k, if h(k) = 39

Accepted Answer

5

Answer

4

Answer

8

Answer

-1

Question 18

Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205

Accepted Answer

160, 175, 190

Answer

165, 185, 195

Answer

155, 165, 175

Answer

190, 175, 160

Question 19

After knee surgery, your trainer tells you to return to your jogging program slowly.  He suggests jogging for 12 minutes each day for the first week.  Each week thereafter, he suggests that you increase that time by 2 minutes per day.  How many weeks will it be before you are up to jogging 1 hour per day?

Accepted Answer

25 weeks

Answer

5 weeks

Answer

26 weeks

Answer

24 weeks

Question 20

Question 20.

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 21

Question 21.

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 22

Factor
3v² - 4v - 7

Accepted Answer

(3v-7)(v+1)

Answer

3(v-7)(v-1)

Answer

(3v+1)(v-9)

Answer

(3v+1)(v-10)

Question 23

A series begins: 4, 7, 10 ... What is the 23rd value?

Accepted Answer

70

Answer

33

Answer

69

Answer

73

Question 24

Find the 25th term of the arithmetic sequence if a₁ = 5 and d = 0.5

Accepted Answer

17

Answer

18

Answer

15

Answer

14

Question 25

What do we call the sum of a sequence of numbers?

Accepted Answer

series

Answer

geometric sequence

Answer

recursive formula

Answer

arithmetic sequence

Question 26

If the discriminant equals 0, then the quadratic has:

Accepted Answer

1 Real Solution

Answer

2 Real Solutions

Answer

Half a Solution

Answer

No Real Solution

Question 27

If the discriminant is negative, then the quadratic has:

Accepted Answer

No Real Solutions

Answer

1 Real Solution

Answer

2 Real Solutions

Answer

Half a Solution

Question 28

If the discriminant is positive, then the quadratic has:

Accepted Answer

2 Real Solutions

Answer

1 Real Solution

Answer

Half a Solution

Answer

No Real Solution

Question 29

If the graph of a quadratic does not intercept the x axis at any point, then it has:

Accepted Answer

No Real Solution

Answer

1 Real Solution

Answer

2 Real Solutions

Answer

Half a Solution

Question 30

Convert x²+6x+9 to factored form and identify the solution.

Accepted Answer

(x+3)(x+3); x=-3

Answer

(x+4)(x+5); x=-4, -5

Answer

(x-3)(x-3); x=3

Answer

Not factorable

Question 31

Question 31.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 32

What is the axis of symmetry for the following equation?
y=4x²-8x+9

Accepted Answer

x=1

Answer

x=-8

Answer

x=-1

Answer

x=2

Question 33

Find the vertex of
f(x) = -x²- 4x + 12

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Question 34

Find the y-intercept of

f(x) = 2x²-2x + 1

Accepted Answer

(0, 1)

Answer

(0, 2)

Answer

(0, -2)

Answer

(0, -1)

Question 35

Which quadratic function is represented by the graph?

Accepted Answer

y = -2(x + 4)² + 5

Answer

y = 2(x - 4)² + 5

Answer

y = 2(x + 4)² + 5

Answer

y = -2(x - 4)² + 5

Question 36

#9) A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256. How many seconds did it take the raft to hit the water?

Accepted Answer

4

Answer

-4

Answer

2

Answer

8

Question 37

You are trying to dunk a basketball. You need to jump 2.5 feet in the air to dunk the ball. The height that your feet are above the ground is given by the function:
h(t) = -16t² + 12t
Will you be able to dunk the basketball?

Accepted Answer

No

Answer

Yes

Answer

As long as I'm wearing Air Jordans

Question 38

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:
h(x)= -5x² + 10x + 15
How long does it take the stone to reach its highest point?

Accepted Answer

1 seconds

Answer

1.5 seconds

Answer

2 seconds

Answer

3 seconds

Question 39

Question 39.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 40

What is the conjugate of -4i - 6?

Accepted Answer

-6 + 4i

Answer

-4i + 6

Answer

4i + 6

Answer

-6 - 4i

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