Free Printable DAA Semester 2 Review

1.

1) Solve the system of linear equations.

a)

(-1, 5, 2)

b)

(1, -5, -2)

c)

no solution

d)

infinitely many solutions

2.

Sovle for x:
5^{-3x - 1} = 25

a)

x = -1

b)

x = -4

c)

x = -3

d)

x = 1

3.

Solve 8 = 2^5x+7

a)

x = ⅘

b)

x = ¼

c)

x = -⅘

d)

x = -¼

4.

Which of the following would you use to evaluate:

a)

log(17/6)

b)

log*6/17)

c)

log17/log6

d)

log6/log17

5.

Write log_b(x/y) as two logs

a)

log_bx-log_by

b)

log_bx+log_by

c)

log_bx*log_by

d)

log_bx/log_by

6.

Use multiple log properties to write as a single log:
log₂x - 5log₂y

a)

log₂(x/y⁵)

b)

log₂(xy⁵)

c)

log₂(x/y)⁵

d)

log₂(x/5y)

7.

Solve for x: log₆x + log₆(x-5) = 2

a)

√7

b)

9

c)

4

d)

none of these

8.

Solve for x:

log₂(x+3)=4

a)

16

b)

13

c)

3

d)

10

9.

sin (π/2)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

10.

cos (π/4)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

11.

tan(300^o)

a)

-√3 /3

b)

½

c)

2√3 /3

d)

-√3

12.

Based on the unit circle, what is the value of sin?

a)

y

b)

x

c)

x/y

d)

y/x

13.

Based on the unit circle, what is the value of cos?

a)

y

b)

x

c)

x/y

d)

y/x

14.

What are the coordinates of 60° on the unit circle?

a)

(0, 1)

b)

(1/2, √3/2)

c)

(√3/2, 1/2)

d)

(√2/2, 1/2)

15.

What radian measure corresponds to the point on the unit circle?

a)

π/4

b)

3π/2

c)

5π/4

d)

7π/3

16.

What is the function that matches this graph?

a)

$f\left(x\right)=\sin\left(x\right)$

b)

$f\left(x\right)=\cos\left(x\right)$

c)

$f\left(x\right)=\tan\left(x\right)$

d)

$f\left(x\right)=-\sin\left(x\right)$

17.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

18.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

19.

Convert the equation y= x²-2x-5 into vertex form.

a)

y= (x-1)²-6

b)

y= -(x-1)²-6

c)

y= (x+1)²-6

d)

y= -(x+6)²-1

20.

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

a)

f(x) = (x + 6)² + 142

b)

f(x) = (x + 6)² - 34

c)

f(x) = (x + 6)² - 38

d)

f(x) = (x + 6)² + 34

21.

Convert the equation y= x²+4x into vertex form.

a)

y= (x+4)²-4

b)

y= (x-2)²+4

c)

y= (x+2)²-4

d)

y= (x+2)²

22.

Solve
x² + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

23.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

24.

What are the zeros to the equation

x² - 2x = 8?

a)

x = 2 or x = -4

b)

x = 1 or x = -8

c)

x = 4 or x = -2

d)

x = 8 or x = -1

25.

a)

10

b)

-10

c)

10i

d)

-10i

26.

What is the complex conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

27.

Solve
3x² - 5 = -446

a)

±√-147

b)

7i√3

c)

±7i√3

d)

-7√3

28.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

29.

(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

30.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

31.

a)

b)

c)

d)

32.

Solve Using Synthetic Division:

a)

2x-5x-3

b)

-5x²-2x+3

c)

5x²+2x-3

d)

3-5x²+2x

33.

The polynomial is...

a)

Odd degree, positive leading coefficient.

b)

Odd degree, negative leading coefficient.

c)

Even degree, positive leading coefficient.

d)

Even degree, negative leading coefficient.

34.

What is the remainder when a³ - 4 is divided by a+2?

a)

-2

b)

-6

c)

-12

d)

4

35.

(3x³ + 5x - 1) ÷ (x + 1)

a)

3x³ - 3x² + 8x - 9

b)

3x² - 3x + 8 - 9/x+1

c)

3x² + 3x + 8 + 7/x+1

d)

3x³ + 3x² + 8x + 7

36.

Find the median of these numbers:
2, 3, 4, 5, 5, 7

a)

4

b)

5

c)

4.5

d)

6

37.

33, 25, 42, 25, 31, 37, 46, 29, 38
What is the third quartile of the data?

a)

37

b)

38

c)

40

d)

46

38.

33, 25, 42, 25, 31, 37, 46, 29, 38
What is the first quartile of the data?

a)

25

b)

27

c)

29

d)

33

39.

33, 25, 42, 25, 31, 37, 46, 29, 38
What is the interquartile range of the data?

a)

8

b)

9

c)

13

d)

21

40.

Which box and whisker plot has the highest median?

a)

Top plot

b)

Bottom plot

41.

What is the median of the data?

a)

200

b)

100

c)

90

d)

140

42.

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

43.

All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?

a)

1

b)

2

c)

3

d)

4

44.

434 Company pack coffee in bags marked as 250 g

A large number of packs of coffee were weighed and the mean and standard deviation were calculated as 255 g and 2.5 g respectively.

Assuming this data is normally distributed, what percentage of packs are underweight?

a)

2.5%

b)

3.5%

c)

4%

d)

5%

45.

The ages of the population of people living in Meru area in Ipoh are Normally distributed with mean 43 and standard deviation 14

The town has a population of 5,000.

How many would you expect to be aged between 22 and 57?

a)

1750

b)

3860

c)

3870

d)

4330

46.

Find the sum of the 1st 20 terms: 2+5+8+......

a)

1220

b)

610

c)

600

d)

612

47.

Find the sum: 11 + 15 + 19 + .......+ 83

a)

19

b)

83

c)

893

d)

624

48.

Find the sum of first 20 even numbers.

a)

400

b)

410

c)

420

d)

430

49.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

50.

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a₁ = 25), how much total distance in the downward direction has the ball traveled after five bounces?

a)

25 cm

b)

84.04 cm

c)

53.7956 cm

d)

59.04 cm

51.

Evaluate the geometric series described.
$3+15+75+375...,\ \ \ \ n=6$

a)

11,718

b)

10,603

c)

9,769

d)

$-\frac{3}{4}$

52.

Evaluate $\sum_{k\ =\ 1}^7\left(-2\right)^{k\ -1\ }$

a)

44

b)

$\frac{1}{3}$

c)

43

d)

49

53.

Determine the sum of the series written in Sigma Notation.

a)

5400

b)

2692

c)

2700

d)

2704

54.

Determine the sum of the series written in Sigma Notation.

a)

45

b)

49

c)

90

d)

47

55.

What is row 7 of Pascal's Triangle?

a)

1, 5, 10, 5, 1

b)

1, 5, 10, 10, 5, 1

c)

1, 7, 21, 35, 35, 21, 7, 1

d)

1, 7, 21, 35, 21, 7, 1

56.

What is the Binomial expansion of (x + 1)⁵ ?

a)

x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

b)

x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

c)

x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

d)

x⁵ + 1

57.

What would be the 5th term of the expansion of (n+4)⁴?

a)

257

b)

256

c)

n⁴

d)

259

58.

What would be the 6th term of the expansion of (m-3)⁵?

a)

m⁵

b)

-243

c)

-244

d)

405m

DAA Semester 2 Review

Total questions: 58

Worksheet time: 15hrs 30mins

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