1. In an engineering equation ris: (a)-6 (b) 2 (c) 6 34 (d)-2 The value of 8.

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1.
2.
3.
4.
In an engineering equation
r is:
(a) -6 (b) 2
6.
(c) 6
When p= 3. q =
ing expression 2p² q³r4 is equal to:
(a) 1296 (b)-36 (c) 36 (d) 18
(2x - y)2 is equal to:
(a) 4x² + y²
(c) 4x² - y²
px
(2e-3f)(e+f) is equal to:
(a) 2e²-3f² (b) 2e²-5ef-3f²
(c) 2e²+3f2
(d) 2e²-ef-3f²
(a)
34 1
=-. The value of
9
3r
1
(d)-2
1
and r= -2, the engineer-
5. (√) (³/2) (x²y) is equal to:
(a) √(xy)
(b)x²,5/2
(c) .xy-5/2
(d) x√/y3
(b) 2x² - 2xy + y²
(d) 4x² - 4xy + y²
is equivalent to:
(b) p-5 (c) p³ (d)
7. Factorising 2xy² +6x³y - 8x³y² gives:
(a) 2x (y² + 3x²-4x²y)
(b) 2xy (y+3x²y-4x²y²)
(c) 96x7y5
(d) 2xy (y+3x²-4x²y)
16. The quantity of heat Q is given by the formula
Q=mc(t₂-₁). When m = 5, t₁ = 20, c= 8 and
Q 1200, the value of 12 is:
(a) 10
(a) x = -2, y = 3
(c) x = 3, y=-2
(b) 1.5 (c) 21.5 (d) 50
17. The solution of the simultaneous equations
3x-2y = 13 and 2x + 5y = -4 is:
(b)x= 1, y = -5
(d) x=-7. y = 2
8. Expanding (m-n)² gives:
(a) m² +n²
(c) m² -2mn+n²
9. 2x²(x-xy)-x(2y-x) simplifies to:
(a)
x (3x-1-y) (b) x²-3xy-xy
(c) x(xy-y-1)
(d) 3x2-x+xy
10.
11.
13.
(b) m² -2mn-n²
(d) m² -n²
-2
g²
a-3 xa
(a) a* (b) 10 (0)
24.
is equivalent to:
12. The relationship between the temperature in
degrees Fahrenheit (F) and the temperature in
9
degrees Celsius (C) is given by: F=C+32
135°F is equivalent to:
(a) 43°C (b) 57.2°C (c) 185.4°C (d) 184°C
(d) a-10
pl
Resistance R is given by the formula R =
A
When resistivity p=0.017 μm, length
= 5 km and cross-sectional area A = 25 mm².
the resistance is:
(a) 3.4 m2 (b) 0.034 2 (c) 3.4 km2 (d) 3.4 2
V
Transposing /= for resistance R gives:
R
(@a)I-V (b) (c) (@) VI
14. When two resistors R₁ and R₂ are connected in par-
1 1 1
allel, the formula
+ is used to deter-
RT R₁ R₂
mine the total resistance RT. If R₁ = 4702 and
R₂=2.7k2, RT (correct to 3 significant figures)
is equal to:
(a) 2.68 Ω (b) 400 Ω (c) 473 Ω (d) 3170 Ω
=
15. The heights of a mass projected vertically upwards
at time is given by: s=ut-gt². When
g=10, t= 1.5 and s= 3.75, the value of u is:
(a) 10
(b)-5 (c) +5 (d) -10
L
Transcribed Image Text:1. 2. 3. 4. In an engineering equation r is: (a) -6 (b) 2 6. (c) 6 When p= 3. q = ing expression 2p² q³r4 is equal to: (a) 1296 (b)-36 (c) 36 (d) 18 (2x - y)2 is equal to: (a) 4x² + y² (c) 4x² - y² px (2e-3f)(e+f) is equal to: (a) 2e²-3f² (b) 2e²-5ef-3f² (c) 2e²+3f2 (d) 2e²-ef-3f² (a) 34 1 =-. The value of 9 3r 1 (d)-2 1 and r= -2, the engineer- 5. (√) (³/2) (x²y) is equal to: (a) √(xy) (b)x²,5/2 (c) .xy-5/2 (d) x√/y3 (b) 2x² - 2xy + y² (d) 4x² - 4xy + y² is equivalent to: (b) p-5 (c) p³ (d) 7. Factorising 2xy² +6x³y - 8x³y² gives: (a) 2x (y² + 3x²-4x²y) (b) 2xy (y+3x²y-4x²y²) (c) 96x7y5 (d) 2xy (y+3x²-4x²y) 16. The quantity of heat Q is given by the formula Q=mc(t₂-₁). When m = 5, t₁ = 20, c= 8 and Q 1200, the value of 12 is: (a) 10 (a) x = -2, y = 3 (c) x = 3, y=-2 (b) 1.5 (c) 21.5 (d) 50 17. The solution of the simultaneous equations 3x-2y = 13 and 2x + 5y = -4 is: (b)x= 1, y = -5 (d) x=-7. y = 2 8. Expanding (m-n)² gives: (a) m² +n² (c) m² -2mn+n² 9. 2x²(x-xy)-x(2y-x) simplifies to: (a) x (3x-1-y) (b) x²-3xy-xy (c) x(xy-y-1) (d) 3x2-x+xy 10. 11. 13. (b) m² -2mn-n² (d) m² -n² -2 g² a-3 xa (a) a* (b) 10 (0) 24. is equivalent to: 12. The relationship between the temperature in degrees Fahrenheit (F) and the temperature in 9 degrees Celsius (C) is given by: F=C+32 135°F is equivalent to: (a) 43°C (b) 57.2°C (c) 185.4°C (d) 184°C (d) a-10 pl Resistance R is given by the formula R = A When resistivity p=0.017 μm, length = 5 km and cross-sectional area A = 25 mm². the resistance is: (a) 3.4 m2 (b) 0.034 2 (c) 3.4 km2 (d) 3.4 2 V Transposing /= for resistance R gives: R (@a)I-V (b) (c) (@) VI 14. When two resistors R₁ and R₂ are connected in par- 1 1 1 allel, the formula + is used to deter- RT R₁ R₂ mine the total resistance RT. If R₁ = 4702 and R₂=2.7k2, RT (correct to 3 significant figures) is equal to: (a) 2.68 Ω (b) 400 Ω (c) 473 Ω (d) 3170 Ω = 15. The heights of a mass projected vertically upwards at time is given by: s=ut-gt². When g=10, t= 1.5 and s= 3.75, the value of u is: (a) 10 (b)-5 (c) +5 (d) -10 L
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