Free Printable GA2 Semester 2 Practice Exam

1.

Classify the polynomial by its number of terms.
4x² - 2

a)

A
monomial

b)

B
binomial

c)

C
trinomial

d)

D
polynomial

2.

Classify the polynomial by its number of terms.
4x² - 2

a)

A
monomial

b)

B
binomial

c)

C
trinomial

d)

D
polynomial

3.

Classify by the DEGREE:
3x - 2

a)

1

b)

2

c)

3

d)

4

4.

Find the sum.
(3 - 2x + 2x²) + (4x - 5 + 3x²)

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

5.

a)

A

b)

B

c)

C

d)

D

6.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

7.

(3r-4)(7r-5)

a)

21r²-43r+20

b)

21r+43r²+9

c)

7r+12r

d)

r+2r

8.

Multiply.
(b+3)(b²+2b+1)

a)

b³+6b²+6b+3

b)

b³+5b²+7b+3

c)

4b³+8b²+3b

d)

3b³+6b²+3b

9.

x³-3x²-10x+24 ÷ x+3

a)

x²-7x+5

b)

x-8

c)

x²-6x+8

d)

x+9

10.

Describe the transformation of f(x) represented by g(x). Check by graphing each function.

a)

The graph of g(x) is a translation 4 units right and 5 units down of the graph of f(x).

b)

The graph of g(x) is a translation 5 units right and 4 units down of the graph of f(x).

c)

The graph of g(x) is a translation 4 units left and 5 units down of the graph of f(x).

d)

The graph of g(x) is a translation 4 units left and 5 units up of the graph of f(x).

11.

Which transformation of y = f(x) moves the graph 7 units to the left and 3 units down?

a)

y = f(x + 7) - 3

b)

y = f(x + 7) + 3

c)

y = f(x - 7) - 3

d)

y = f(x - 7) + 3

12.

Describe the transformation of the graph y = -(x - 4)³ + 5

a)

Up 5 and Left 4

b)

Reflect x-axis, Left 4, Up 5

c)

Reflect x-axis, Right 4, Up 5

d)

Right 4 and up 5

13.

Which of these equations shifts a radical equation right 5 times and down once?

a)

$f\left(x\right)=\sqrt{x-5}-1$

b)

$f\left(x\right)=\sqrt{x+5}-1$

c)

$f\left(x\right)=\sqrt{x-5}+1$

d)

$f\left(x\right)=\sqrt{x+5}+1$

14.

Which of the following is the function shown in the graph?

a)

f(x)= -√(x+4) -2

b)

f(x)= √(x-4) -2

c)

f(x)= -√(x-4) -2

d)

f(x)= √(x+4) +2

15.

Simplify:

4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

16.

Simplify.

a)

5x⁸y¹⁰√10x

b)

5x⁴y⁵√10x

c)

5x⁴y⁵√2x

d)

5√2x⁹y¹⁰

17.

Read the question carefully and choose the correct answer.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

Rewrite in Exponential Form.

a)

A

b)

B

c)

C

d)

D

20.

√98 + 5√2

a)

8√3

b)

12√2

c)

7√2

d)

7√3

21.

√300 + √75

a)

15√3

b)

√375

c)

20√5

d)

16√5

22.

Simplify
$4\sqrt{7}-8\sqrt{7}+6\sqrt{7}$

a)

$2\sqrt{7}$

b)

$-18\sqrt{7}$

c)

$18\sqrt{7}$

d)

$-2\sqrt{7}$

23.

√8 - 6√2

a)

-4√2

b)

2√2

c)

-6√6

d)

-6√10

24.

Simplify $5\sqrt{32}+\sqrt{27}+2\sqrt{75}$

a)

$20\sqrt{2}+13\sqrt{3}$

b)

$7\sqrt{100}$

c)

$8\sqrt{100}$

d)

$33\sqrt{5}$

25.

Simplify

a)

3x²y²z√3yz

b)

3xyz√xy²

c)

3xyz

d)

Can't Simplify

26.

a)

A

b)

B

c)

C

d)

D

27.

Simplify the expression:

a)

-15 + 8√9

b)

9

c)

2 + 8√3 + 6√6

d)

9 + 14√3

28.

(7 − √2)(5 + √3)

a)

35 + 7√3 − 5√2 − √6

b)

29 + 7√3 − 5√2

c)

35 +√10 − √7 −√6

d)

√50

29.

Solve the equation.

a)

36

b)

18

c)

-18

d)

27

30.

Solve

a)

102

b)

12

c)

98

d)

7

31.

a)

No Solution

b)

x = 4

c)

x = 7

d)

x = 9

32.

a)

x = 5

b)

x = -6

c)

x = 14

d)

x = -1

33.

3⁻⁴

a)

1 ⁄ 3⁴

b)

-3⁴

c)

3⁴

d)

1 ⁄ 12

34.

To get rid of a negative exponent you need to...

a)

Just erase it

b)

Find the reciprocal

c)

Multiply it by a negative

d)

Add a one to it

35.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

36.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

37.

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

a)

182

b)

40

c)

61

d)

None of the Above

38.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

a)

-14

b)

20

c)

6

d)

7

39.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

40.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

41.

Find the inverse of f(x) = x² - 5

a)

f^-1(x) = √(x) + 5

b)

f^-1(x) = ∛(x-5)

c)

f^-1(x) =√(x+5)

d)

f^-1(x) = x² - 5

42.

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

a)

16

b)

4

c)

-4

d)

None of these.

43.

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

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

44.

f(x)=3x²+1
g(x)=4x+5
What is (f+g)(2)

a)

13

b)

0

c)

26

d)

6x²+8x+12

45.

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

46.

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

a)

4x²+24

b)

4x²+20x+24

c)

4x²+12x+24

d)

4x²+4x+24

47.

Is y = 4(.20)^x growth or decay?

a)

Growth

b)

Decay

48.

Is y = 5(1.04)^x growth or decay?

a)

Growth

b)

Decay

49.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

50.

3² = 9

a)

log ₃ 2 = 9

b)

log ₉ 3 = 2

c)

log ₃ 9 = 2

d)

log ₂ 9 = 3

51.

Change to Exponential Form:
log₆36 = 2

a)

2⁶=36

b)

6²=36

c)

36²=6

d)

36⁶=2

52.

Convert log₈(x+2)=3 to exponential form.

a)

8^(x+2)=3

b)

3^(x+2)=8

c)

8³=x+2

d)

3⁸=x+2

53.

Convert 6^(x+2)=216 to logarithmic form

a)

log₂₁₆(x+2)=6

b)

log₆(x+2)=216

c)

log₆(216)=x+2

d)

log_(x+2)(216)=6

54.

Convert 6^(x+2)=216 to logarithmic form

a)

log₂₁₆(x+2)=6

b)

log₆(x+2)=216

c)

log₆(216)=x+2

d)

log_(x+2)(216)=6

55.

$9^{x-2}=1$

a)

No Solution

b)

2

c)

-2

d)

All Real Numbers

56.

Solve the exponential function: 5^x + 7= 32

a)

x = 25

b)

x = 6

c)

x = 9

d)

x = 2

57.

7^x = 13

a)

log ₇ x = 13

b)

log ₁₃ x = 7

c)

log ₇ 13 = x

d)

log _x 7 = 13

58.

log(xy²)

a)

logx+2logy

b)

logx+logy²

c)

logx-2logy

d)

logx+logy+log2

59.

$\log\left(\frac{x}{y}\right)$

a)

logx+logy

b)

xlogy

c)

log(x-y)

d)

logx-logy

60.

Estimate log₅ 256

a)

50

b)

3.5

c)

3

d)

4

61.

log₁₀ 11

a)

1

b)

-1

c)

0

d)

1.04

62.

Condense $15\ \log_5a\ +3\ \log_5b$

a)

$15\log_5ab$

b)

$\log_5\left(a^{15}b^3\right)$

c)

$\log_5\left(b^{15}a^3\right)$

d)

$45\log_5\left(ab\right)$

63.

Solve the following
$\log_b81=4$

a)

b=3

b)

b=4

c)

b=81

d)

$b^3=81$

64.

Select all of the transformations of f(x)=log₅x that produce the function g(x)=8log₅(x-4)

a)

Vertical stretch by a factor of 8

b)

Vertical stretch by 5

c)

Translation 4 units left

d)

Translation 4 units right

e)

Translation 4 units down

65.

Describe the transformations of f(x)= -log₂(x+1)

a)

left one & y-axis reflection

b)

right one & y-axis reflection

c)

left one & x-axis reflection

d)

right one & x-axis reflection

GA2 Semester 2 Practice Exam

Total questions: 65

Worksheet time: 16hrs 15mins

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