Question 12 Marks
If $a = – 10,$ evaluate:
$a^3$
Answer$a^3$
$= a \times a \times a$
$= (− 10)^3$
$= (− 10) \times (− 10) \times (− 10)$
$= − 1000$
View full question & answer→Question 22 Marks
If $a = – 10,$ evaluate:
$a^2$
Answer$a^2$
$= (− 10)^2$
$= − 10 \times (− 10)$
$= 100$
View full question & answer→Question 32 Marks
If $x=10$, evaluate : $\frac{1}{50} \times x ^3$
Answer$\frac{1}{50} \times x ^3$
$=\frac{1}{50} \times 10 \times 10 \times 10$
$=\frac{1}{50} \times 1000$
$=20$
View full question & answer→Question 42 Marks
If x = 10, evaluate:
100x + 225
Answer100x + 25
= (100 × 10) + 225
= 1000 + 225
= 1225
View full question & answer→Question 52 Marks
If m = 2, evaluate:
16m – 7
Answer16m – 7
= (16 × 2) – 7
= 32 – 7
= 25
View full question & answer→Question 62 Marks
If $x=4$, evaluate : $\frac{x^2}{8}$
Answer$\frac{x^2}{8}$
$=\frac{(4)^2}{8}$
$=\frac{4 \times 4}{8}$
$=\frac{16}{8}$
$=2$
View full question & answer→Question 72 Marks
If $x = 4,$ evaluate:
$5x^2 + 4x$
Answer$5x^2 + 4x$
$= (5 \times 4 \times 4) + 4 (4)$
$= 80 + 16$
$= 96$
View full question & answer→Question 82 Marks
If x = 4, evaluate:
12x + 7
Answer12x + 7
= (12 × 4) + 7
= 48 + 7
= 55
View full question & answer→Question 92 Marks
If $m – 6$, evaluate:
$(2m)^2$
Answer$(2m)^2$
$= (2 \times m) \times (2 \times m)$
$= (2 \times 6) \times (2 \times 6)$
$= 12 \times 12$
$= 144$
View full question & answer→Question 102 Marks
If $m – 6,$ evaluate:
$2m^2 + 3m$
Answer$2m^2 + 3m$
$= 2 (6)^2 + 3 (6)$
$= 2 \times 6 \times 6 + 3 \times 6$
$= 72 + 18$
$= 90$
View full question & answer→Question 112 Marks
If m – 6, evaluate:
5m − 6
Answer5m − 6
= (5 × 6) − 6
= 36 − 6
= 30
View full question & answer→Question 122 Marks
If $x = 4,$ evaluate:
$x^2 – 2x$
Answer$x^2 – 2x$
$= (4)^2 − 2(4)$
$= (4 \times 4) − (2 \times 4)$
$= 16 − 8$
$= 8$
View full question & answer→Question 132 Marks
If x = 4, evaluate:
3x + 8
Answer3x + 8
= (3 × 4) + 8
= 12 + 8
= 20
View full question & answer→Question 142 Marks
The temperature in the Fahrenheit scale is represented by $F$ and the temperature in the Celsius scale is represented by $C$. If $F =\frac{9}{5} \times C +32$, find $F$ when $C =40$.
Answer$F =\frac{9}{5} \times C +32$
Given, $C=40$
$F=\frac{9}{5} \times 40+32$
$=9 \times 8+32$
$F=104^{\circ}$
View full question & answer→Question 152 Marks
The wages ₹ W of a man earning ₹ x per hour for t hours are given by the formula W = xt. Find his wages for working 40 hours at a rate of ₹ 39.45 per hour.
AnswerT = 40 hours
x = ₹ 39.45
W = xt = 40 × 39.45
W = ₹ 1578
View full question & answer→Question 162 Marks
Construct a formula for the following:
Total wages (₹ W) of a man whose basic wage is (₹ B) for t hours week plus (₹ R) per hour, if he Works a total of T hours.
AnswerWages for t hours = ₹ B
Wages for overtime = R(T – t)
⇒ Total wages = Wages for t hours + wages for overtime of (T – t) hours
⇒ ₹ W = ₹ B + ₹ R (T – t)
View full question & answer→Question 172 Marks
Find T, if T = 2a – b, a = 7 and b = 3.
AnswerT = 2a – b, a = 1 and b = 3
Put the value of a = 1, and b = 3 in above equation
T = (2 × 7) − 3
T = 14 – 3
T = 11
View full question & answer→Question 182 Marks
If $x = − 5$ and $y = − 8$, evaluate:
$3y^2$
Answer$3y^2$
$= 3 \times y \times y$
$= 3 \times (− 8) \times (− 8)$
$= 192$
View full question & answer→Question 192 Marks
If $x = − 5$ and $y = − 8$, evaluate:
$4x^2$
Answer$4x^2$
$= 4 \times x \times x$
$= 4 \times (− 5) \times (− 5)$
$= 100$
View full question & answer→Question 202 Marks
If $x = − 5$ and $y = − 8,$ evaluate:
$2xy^2$
Answer$2xy^2$
$= 2 \times x \times y \times y$
$= 2 \times (− 5) \times (− 8) \times (− 8)$
$= − 10 \times 64$
$= − 640$
View full question & answer→Question 212 Marks
If x = − 5 and y = − 8, evaluate:
4xy
Answer4xy
= 4 × x × y
= 4 × (− 5) × (− 8)
= 160
View full question & answer→Question 222 Marks
If $m = − 8$ and $n = − 2$, evaluate:
$(4n)^2$
Answer$(4n)^2$
$= 4 \times n \times 4 \times n$
$= (4 \times (− 2)) \times (4 \times (− 2))$
$= (− 8) \times (− 8)$
$= 64$
View full question & answer→Question 232 Marks
If $m = − 8$ and$ n = − 2$, evaluate:
$3m^2n$
Answer$3m^2n$
$= 3 \times m \times m \times n$
$= 3 \times 64 \times (− 2)$
$= − 384$
View full question & answer→Question 242 Marks
If m = − 8 and n = − 2, evaluate:
12mn
Answer12mn
= 12 × m × n
= 12 × (− 8) × (− 2)
= 192
View full question & answer→Question 252 Marks
If $m = 9$ and $n = − 2,$ evaluate $(2n)^3$
Answer$(2n)^3$
$= (2 \times n) \times (2 \times n) \times (2 \times n)$
$= (2 \times (− 2)) \times (2 \times (− 2)) \times (2 \times (− 2))$
$= (− 4) \times (− 4) \times (− 4)$
$= − 64$
View full question & answer→Question 262 Marks
If $m = 9$ and $n = − 2,$ evaluate $2m^2n$
Answer$2m^2n$
$= 2 \times m \times m \times n$
$= 2 \times 9 \times 9 \times (− 2)$
$= 2 \times 81 \times (− 2)$
$= − 324$
View full question & answer→Question 272 Marks
If m = 9 and n = − 2, evaluate 4mn
Answer4mn
= 4 × m × n
= 4 × 9 × (− 2)
= − 72
View full question & answer→Question 282 Marks
If $x = 2$ and $y = − 4$, evaluate:
$8x^2$
Answer$8x^2$
$= 8 \times x \times x$
$= 8 \times 2 \times 2$
$= 32$
View full question & answer→Question 292 Marks
If $x = 2$ and $y = − 4,$ evaluate:
$(5y)^2$
Answer$(5y)^2$
$= 5 \times y \times 5 \times y$
$= 5 \times (− 4) \times 5 \times (− 4)$
$= (− 20) \times (− 20)$
$= 400$
View full question & answer→Question 302 Marks
If $x = 2$ and $y = − 4,$ evaluate:
5x^2y
Answer$5x^2y$
$= 5 \times x \times x \times y$
$= 5 \times 2 \times 2 \times (− 4)$
$= − 80$
View full question & answer→Question 312 Marks
If x = 2 and y = − 4, evaluate:
11xy
Answer11xy
= 11 × x × y
= 11 × 2 × (− 4)
= − 88
View full question & answer→Question 322 Marks
If $y=-8$, evaluate : $\frac{y^3}{4}$
Answer$\frac{y^3}{4}$
$=\frac{y \times y \times y}{4}$
$=\frac{(-8) \times(-8) \times(-8)}{4}$
$=\frac{-256}{4}$
$=-64$
View full question & answer→Question 332 Marks
If $y = − 8,$ evaluate:
$y^{2 }+ 12y$
Answer$y^{2 }+ 12y$
$= (y \times y) + (12 \times y)$
$= ((− 8) \times (− 8)) + (12 \times (− 8))$
$= 64 + (− 96)$
$= −32$
View full question & answer→Question 342 Marks
If y = − 8, evaluate:
6y + 53
Answer6y + 53
= (6 × y) + 53
= (6 × (− 8)) + 53
= − 48 + 53
= 5
View full question & answer→Question 352 Marks
If $p=-10$, evaluate : $\frac{ p ^2}{50}$
Answer$\frac{ p ^2}{50}$
$=\frac{ p \times p }{50}$
$=\frac{(-10) \times(-10)}{50}$
$=\frac{100}{50}$
$=2$
View full question & answer→Question 362 Marks
If m = − 8, evaluate:
2m + 21
Answer2m + 21
= 2 × m + 21
= 2 × (− 8) + 21
= − 16 + 21
= 5
View full question & answer→Question 372 Marks
If $x=-6$, evaluate: $\frac{x^2}{2}$
Answer$\frac{x^2}{2}$
$=\frac{x \times x}{5}$
$=\frac{(-6) \times(-6)}{2}$
$=\frac{36}{2}$
$=18$
View full question & answer→Question 382 Marks
If x = − 6, evaluate:
4x – 9
Answer4x – 9
= (4 × x) – 9
= (4 × (– 6)) – 9
= – 24 – 9
= – 33
View full question & answer→Question 392 Marks
If a = − 10, evaluate:
3a – 2
Answer3a – 2
= (3 × a) − 2
= 3 × (− 10) − 2
= − 30 − 2
= − 32
View full question & answer→Question 402 Marks
If $m = 3$ and $n = 7,$ evaluate:
$4n^2$
Answer$4n^2$
$= 4 \times n \times n$
$= 4 \times 7 \times 7$
$= 196$
View full question & answer→Question 412 Marks
If $m = 3$ and $n = 7,$ evaluate:
$(10m)^2$
Answer$(10m)^2$
$= (10 \times m) \times (10 \times m)$
$= (10 \times 3) \times (10 \times 3)$
$= 30 \times 30$
$= 900$
View full question & answer→Question 422 Marks
If $m = 3$ and $n = 7,$ evaluate:
$5mn^2$
Answer$5mn^2$
$= 5 \times m \times n \times n$
$= 5 \times 3 \times 7 \times 7$
$= 735$
View full question & answer→Question 432 Marks
If m = 3 and n = 7, evaluate:
12mn
Answer12mn
= 12 × m × n
= 12 × 3 × 7
= 252
View full question & answer→Question 442 Marks
If $x = 2$ and $y = 10,$ evaluate:
$5y^2$
Answer$5y^2$
$= 5 \times y \times y$
$= 5 \times 10 \times 10$
$= 500$
View full question & answer→Question 452 Marks
If $x = 2$ and $y = 10$, evaluate:
$(10x)^2$
Answer$(10x)^2$
$= (10 \times x) \times (10 \times x)$
$= 10 \times 2 \times 10 \times 2$
$= 400$
View full question & answer→Question 462 Marks
If $x = 2$ and $y = 10,$ evaluate:
$50xy^2$
Answer$50xy^2$
$= 50 \times x \times y \times y$
$= 50 \times 2 \times 10 \times 10$
$= 10000$
View full question & answer→Question 472 Marks
If x = 2 and y = 10, evaluate:
30xy
Answer30xy
= 30 × x × y
= 30 × 2 × 10
= 600
View full question & answer→Question 482 Marks
If $y = 5$ and $z = 2$, evaluate:
$(5z)^3$
Answer$(5z)^3$
$= (5 \times z) \times (5 \times z) \times (5 \times z)$
$= 5 \times 2 \times 5 \times 2 \times 5 \times 2$
$= 10 \times 10 \times 10$
$= 1000$
View full question & answer→Question 492 Marks
If $y = 5$ and $z = 2$, evaluate:
$5y^2$
Answer$5y^2$
$= 5 \times y \times y$
$= 5 \times 5 \times 5$
$= 125$
View full question & answer→Question 502 Marks
If $y = 5$ and $z = 2$, evaluate:
$9y^2z$
Answer$9y^2z$
$= 9 \times y \times y \times z$
$= 9 \times 5 \times 5 \times 2$
$= 450$
View full question & answer→