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Worksheets

Week 2_S&S

Total questions: 43

Worksheet time: 27mins

Name
Class
Date
1.

Simplify 2a+3ba+5b2a+3b-a+5b  

a)

5a+8b5a+8b  

b)

a2ba-2b  

c)

a+8ba+8b  

d)

3a+8b3a+8b  

2.

Simplify 4a × 2a4a\ \times\ 2a  

a)

6a6a  

b)

8a8a  

c)

8a28a^2  

d)

6a26a^2  

3.

Simplify 3m + 5m3m\ +\ 5m  

a)

8m8m  

b)

8m28m^2  

c)

15m15m  

d)

15m215m^2  

4.

5g+3h2gh5g+3h-2g-h  

a)

3g4h3g-4h  

b)

3g+4h3g+4h  

c)

3g3h3g-3h  

d)

3g+2h3g+2h  

5.

Simplify 2a+3aa\frac{2a+3a}{a}  

a)

5a5a  

b)

55  

c)

5aa\frac{5a}{a}  

d)

5a25a^2  

6.

What is the coefficient of the xx  term?

3x+2y+5-3x+2y+5  

(a)  

7.

How many terms are there?

2a+3b62a+3b-6  

(a)  

8.

If a=1, b=2 and c=2a=1,\ b=2\ and\ c=-2  calculate the value of abcabc  

a)

 -4

b)

44   

c)

2222    

d)

22-22   

9.

If a=2, b=3a=-2,\ b=3  calculate the value of 2a+3b2a+3b  

a)

55  

b)

44   

c)

1111   

d)

1010  

10.

What is the expression that represents

"The sum of b and 4"

a)

4b4b  

b)

b+4b+4  

c)

b4b^4  

11.

What is the expression that represents

"5 is added to y and then the result is doubled"

a)

y+5×2y+5\times2  

b)

2(y+5)2\left(y+5\right)  

c)

(y+5)2\left(y+5\right)2  

d)

(y+5)×2\left(y+5\right)\times2  

12.

Simplify 3xy3+x2y5xy23xy^3+\frac{x^2y^5}{xy^2}  

a)

4xy34xy^3  

b)

3x2y63x^2y^6  

c)

3x2y33x^2y^3   

d)

4x2y34x^2y^3  

13.

Simplify a2+3aa^2+3a  

a)

a2+3aa^2+3a  

b)

4a34a^3  

c)

3a33a^3  

d)

2a22a^2  

14.

Simplify a2×3aa^2\times3a  

a)

This can't be simplified 

b)

4a34a^3  

c)

3a33a^3  

d)

2a22a^2  

15.

The number in front of a variable is called a (a)  

16.

Simplify 3×2b×3b3\times2b\times3b  

a)

This expression can't be simplified

b)

18b218b^2  

c)

6b26b^2  

d)

2b32b^3  

17.

Simplify 4×b×3d4\times b\times3d  

a)

This expression can't be simplified

b)

  12b212b^2  

c)

12bd12bd   

d)

12b312b^3   

18.

Simplify 2x2y34x2y\frac{2x^2y^3}{4x^2y}  

a)

2xy22xy^2  

b)

2xy2xy  

c)

y22\frac{y^2}{2}  

d)

12y\frac{1}{2}y  

19.
Find the derivative of the given equation
f(x) = 1 - x2
a)
1 - 2x
b)
-2x
c)
-2
d)
-1
20.
If the position function for a particle is s(t) = -t2 - t, what is the instantaneous velocity function for the particle? 
a)
v(t) = -2
b)
v(t) -2t - 1 
c)
v(t) = t3
d)
v(t) = -t
21.
4
a)
A
b)
B
c)
C
d)
D
22.
What is the derivative of cos(x)?
a)
sin(x)
b)
-sin(x)
c)
cos(x)
d)
-cos(x)
23.
Derivative means the same thing as
a)
slope of the tangent line
b)
slope of the normal line
c)
exponent
d)
potato
24.

Choose the best rule to derive the function.

a)

Product rule

b)

Quotient rule

c)

Power rule

d)

Chain rule

25.
The derivative of sin(2x)
a)
2cos(x)
b)
2sin(2x)
c)
2cos(2x)
d)
2xcos(2x)
26.

What is the derivative of y = 2π?

a)

0

b)

2

c)

-2

d)

None of the above

27.

ddx(ecosx) is\frac{d}{dx}\left(e^{\cos x}\right)\ is  

a)

esinxe^{-\sin x}  

b)

(sinx) ecosx\left(-\sin x\right)\ e^{\cos x}  

c)

(cosx)esinx\left(\cos x\right)e^{-\sin x}  

d)

(sinx)esinx\left(\sin x\right)e^{\sin x}  

28.

Integrate 3 dx\int_{ }^{ }3\ dx  

a)

= 0

b)

=3x+c=\frac{3}{x}+c  

c)

= 3x +c=\ 3x\ +c  

d)

=4+c=4+c  

29.

Integrate x6dx\int_{ }^{ }x^6dx  

a)

=6x5+c=6x^5+c  

b)

=x77+c=\frac{x^7}{7}+c  

c)

=6x6+c=6x^6+c  

d)

=x56+c=\frac{x^5}{6}+c  

30.

e5xdx =\int_{ }^{ }e^{5x}dx\ =  

a)

e5x+ce^{5x}+c  

b)

5e5x+c5e^{5x}+c  

c)

15e5x+c\frac{1}{5}e^{5x}+c  

d)

none of these

31.
∫ 1/x dx
a)
ln x
b)
ln x + C
c)
-1/x²
d)
-1/x² + C
32.
∫cosx dx = 
a)
-secx + C
b)
secx + C
c)
sinx + C
d)
-sinx + C
33.
∫sinx dx = 
a)
-cscx + C
b)
cscx + C
c)
cosx + C
d)
-cosx + C
34.

To find the area of the shaded region I need to:

a)

Find the derivative of the function y

b)

Find the gradient of the tangent line for the function y

c)

Integrate the function y from 1 to 2

d)

Find the turning point between 1 and 2

35.

A signal is another name for

a)

A short circuit

b)

A mathematical function

c)

A voice message

d)

A magnetic field

36.

This is an example of a ................ signal

a)

quadratic

b)

linear

c)

discrete

d)

continuous

37.

This is an example of a ................ signal

a)

quadratic

b)

linear

c)

discrete

d)

continuous

38.

Discrete-time signals are often illustrated graphically using ............ plots

a)

Stem

b)

Linear

c)

Scatter

d)

Histograms

39.

We use Digital Signal Processing, DSP, to

a)

A) manipulate signals

b)

B) enhance images

c)

C) attempt voice recognition

d)

D) add a filter for Instagram

e)

E) all options from A-D

40.

If a signal has finite Energy, its Power is zero.

a)

True

b)

False

41.

Periodic Signals have infinite energy.

a)

True

b)

False

42.

Type the expression in factored form of x2+2x8x^2+2x-8 .

43.

Type the equation slope in standard form of the line that passes through the point (3,0) and is parallel to the line represented by 2x+y=7.