Free Printable Honors Algebra II Sem I Exam Review

1.

What is f when x equals 4?

a)

-5

b)

0

c)

3

d)

6

2.

A piecewise function (f(x)) is shown in the graph. What is f when x equals -4?

a)

-4

b)

-2

c)

0

d)

Does not exist

3.

What is the domain of this function?

a)

(-∞,2]

b)

(-∞,+∞)

c)

[2,-∞)

d)

(-4,2)

4.

What is the range of this function?

a)

(-∞,+∞)

b)

(-4,2]

c)

(-∞,2]

d)

[2,-∞)

5.

What is the average rate of change of [1, 5]?

a)

-0.65

b)

-0.75

c)

3.75

d)

4

6.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

a)

10 horses, 18 chickens

b)

16 horses, 12 chickens

c)

12 horses, 16 chickens

d)

18 horses, 10 chickens

10.

Solve the system of equations:

a)

( -2, 3, -3)

b)

None of these

c)

( -2, -3, 3)

d)

( -3, 3, -2)

11.

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

a)

4x + 7y = 578
x + y = 3365

b)

4x + 7y = 3365
x + y = 578

c)

4y + 7x = 578
x + y = 3365

d)

4y + 7x = 3365
x + y = 578

12.

What are the transformations of this functions compared to the parent function y = √(x)?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch, and shifted right 5

c)

Reflected over the x-axis, vertical stretch, and shifted left 5

d)

Shifted right 5, shifted down 2

13.

Which equation describes the transformation of shifting f(x)=x² two units right?

a)

x² + 2

b)

x² - 2

c)

(x + 2)²

d)

(x - 2)²

14.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

15.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch, and shifted right 5

c)

Reflected over the x-axis, vertical stretch, and shifted left 5

d)

Shifted right 5, shifted down 2

16.

What are the zeros?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

17.

What is the minimum of this graph?

a)

(-2,6)

b)

(-0.5,-3.5)

c)

(-1,-3)

d)

(3,0)

18.

On which interval is the graph increasing?

a)

[-5,-3]

b)

[-3,-1]

c)

[1,4]

d)

[5,∞)

19.

On what interval is the graph decreasing?

a)

(∞, 3)

b)

(3, -∞)

c)

(3, ∞)

d)

(-∞, 3)

20.

What is the domain of the function?

a)

(-∞,5]

b)

(-∞,5)

c)

(-∞,2]

d)

(-∞,2)

21.

What is the range of the function?

a)

(-∞,5]

b)

(-∞,5)

c)

(-∞,2]

d)

(-∞,2)

22.

Where is the function increasing?

a)

(-∞,5]

b)

(-∞,0]

c)

(-∞,2]

d)

[0,2]

23.

Which parent function is graphed?

a)

Linear

b)

Absolute Value

c)

Quadratic

d)

Square Root

24.

What is the minimum of the blue function?

a)

y = -2

b)

y = 1

c)

y = -4

d)

y = 0

25.

What is the minimum of the red function?

a)

y = -1.75

b)

y = 1

c)

y = 1.5

d)

y = 0

26.

Factor completely.

$5x^2-28x+32$

a)

(3x - 10)(x + 6)

b)

(x - 8)(5x - 4)

c)

(5x - 8)(x - 4)

d)

(5x - 8)(x + 7)

27.

Factor completely.
$15x^2-43x+8$

a)

(3x-1)(5x-8)

b)

(3x+8)(5x+1)

c)

(3x-8)(5x-1)

d)

This quadratic cannot be factored.

28.

Factor 4y² – 9.

a)

(2y + 3)(2y – 3)

b)

prime

c)

(2y + 3)(2y + 3)

d)

(2y – 3)(2y – 3)

29.

Factor: 8x³ - 1

a)

(2x - 1)(4x² + 2x + 1)

b)

(2x + 1)(4x² - 2x + 1)

c)

(2x - 1)(4x² - 2x - 1)

d)

(2x + 1)(4x² +2x + 1)

30.

Factor: 27x³ + 8

a)

(3x + 2)(9x² - 6x + 4)

b)

(9x + 2)(3x² + 18x + 4)

c)

(3x²+4)(9x + 2)

d)

(27x + 8)(x² - 216x + 64)

31.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

32.

Solve
6h² + 17h + 10 = 0

a)

h= -5, -12

b)

h= 5, 12

c)

h = -2, ^-5/₆

d)

h = ^-2/₅, -6

33.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

34.

(x + 1) ² = 25

a)

± 5

b)

4 or -6

c)

-4 or 6

d)

± 4

35.

Solve by taking square roots:
5b² - 4 = 41

a)

b = 9, b = -9

b)

b = 3, b = -3

c)

b = 8, b = -8

d)

no solution

36.

Which method is most efficient to solve:
8x² - 5x = 0

a)

Square Roots

b)

Greatest Common Factor

c)

X-Factor

d)

Quadratic Formula

37.

Solve by the Quadratic Formula:

$9u^2-11u+7=0$

a)

$\frac{-11\pm\sqrt{131}}{18}$

b)

$\frac{11\pm\sqrt{131}}{18}$

c)

$\frac{11\pm\sqrt{131}}{-18}$

d)

$\frac{11\pm i\sqrt{373}}{18}$

38.

Solve by the Quadratic Formula:

$18j^{2\ }+9j\ +16=12+7j^2$

a)

$\frac{-9\pm i\sqrt{95}}{22}$

b)

$\frac{-9\pm\sqrt{95}}{22}$

c)

$\frac{9\pm i\sqrt{95}}{22}$

d)

$\frac{9\pm\sqrt{95}}{22}$

39.

A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x² + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river. How high does the water go?

a)

It goes 11.78 feet high

b)

It goes 20 feet high

c)

It goes 40 feet high

d)

It goes 10 feet high

40.

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?

a)

-4

b)

2

c)

4

d)

8

41.

Which equation has a vertex of (-3, 4)?

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

42.

If path of a projectile is modeled by:
h(t) = -16t² + 20t +6, what is the height after 1 second?

a)

6 feet

b)

20 feet

c)

10 feet

d)

4 feet

43.

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t²+ 90t gives the height h of the ball after t seconds.
How many seconds will it take the ball to hit the ground?

a)

126.56 ft

b)

5.625 sec

c)

2.81 sec

d)

0 ft

44.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

45.

Which answer choice describes y = -3x² +7x - 2 accurately?

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

46.

Using your calculator, graph y = -3x² + 6x - 5 and identify the max or min.

a)

Max: (1, -2)

b)

Min: (1, -2)

c)

Max: (-2, 1)

d)

Min: (-2, 1)

47.

Solve for x:

a)

x = {-4, -1}

b)

x = {-1, -4}

c)

x = {2+i, 2-i}

d)

x = {-2+i, -2-i}

48.

Multiply: (2 + 3i)(2 - 3i)

a)

4 - 9i

b)

13

c)

4 + 6i + 9i²

d)

13 + 6i

49.

Divide: (12 + 18i) / (2 + 3i)

a)

1 - i

b)

2 + 5i

c)

6

d)

3 - i

50.

A parabola has a vertex at (1,6) and passes through (3,-18). Write the equation in vertex form.

Formula: f(x) = a(x - h)²+ k

a)

f(x) = 3(x - 1)²- 18

b)

f(x) = -6(x - 1)²+ 6

c)

f(x) = 6(x - 3)²- 18

d)

f(x) = -3(x + 1)²- 6

51.

|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4,-5}

c)

{-12/5, 4}

d)

4

52.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

53.

a)

n > 1 or n < -7

b)

n > -1 or n < -7

c)

-7 < n < -1

d)

no solution

54.

a)

- 1/2 ≤ z ≤ 5/2

b)

1/2 ≤ z ≤ 5/2

c)

z ≥ 1/2 or z ≤ 5/2

d)

z ≤ 1/2 or z ≥ 5/2

55.

a)

A

b)

B

c)

C

d)

D

56.

a)

A

b)

B

c)

C

d)

D

57.

(3+4i)(-8-i)

a)

-5+3i

b)

-24-4i

c)

-24-4i²

d)

-20

e)

-20-36i

Honors Algebra II Sem I Exam Review

Total questions: 57

Worksheet time: 14hrs 15mins

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