Question paper, Set 9

$x + 88 = 15$

$\Rightarrow x = 15 - 88$

$\Rightarrow x = -73$

Answer: $x = -73$

$x - 80 = -79$

$\Rightarrow x = -79 + 80$

$\Rightarrow x = 1$

Answer: $x = 1$

$4 \times x = 244$

$\displaystyle \Rightarrow x = \frac{244}{4}$

$\Rightarrow x = 61$

Answer: $x = 61$

$\displaystyle \frac{x}{2} = 122$

$\Rightarrow x = 122 \times 2$

$\Rightarrow x = 244$

Answer: $x = 244$

(i) $x + 95 = -47$

$\Rightarrow x = -47 - 95$

$\Rightarrow x = -142$

(ii) $x - 79 = -43$

$\Rightarrow x = -43 + 79$

$\Rightarrow x = 36$

(iii) $x \times 6 = 330$

$\displaystyle \Rightarrow x = \frac{330}{6}$

$\Rightarrow x = 55$

(iv) $\displaystyle \frac{x}{20} = 330$

$\Rightarrow x = 330 \times 20$

$\Rightarrow x = 6600$

Answer: (i) $x = -142$, (ii) $x = 36$, (iii) $x = 55$, (iv) $x = 6600$

$x + 28372 = 120589$

$\Rightarrow x = 120589 - 28372$

Column subtraction: $120589 - 28372 = 92217$

$\Rightarrow x = 92217$

Answer: $x = 92217$

$x \times 27 = 2943$

$\displaystyle \Rightarrow x = \frac{2943}{27}$

Long division: $29 \div 27 = 1$, remainder $2$; $24 \div 27 = 0$, remainder $24$; $243 \div 27 = 9$, remainder $0$

$\Rightarrow x = 109$

Answer: $x = 109$

$\displaystyle \frac{x}{-3} = -88$

$\Rightarrow x = (-88) \times (-3)$

$- \times - = +$

$\Rightarrow x = 264$

Answer: $x = 264$

$6x - 103 = -25$

$\Rightarrow 6x = -25 + 103$

$\Rightarrow 6x = 78$

$\displaystyle \Rightarrow x = \frac{78}{6}$

$\Rightarrow x = 13$

Answer: $x = 13$

$\displaystyle \frac{x}{3} + 143 = 115$

$\displaystyle \Rightarrow \frac{x}{3} = 115 - 143$

$\displaystyle \Rightarrow \frac{x}{3} = -28$

$\Rightarrow x = -28 \times 3$

$\Rightarrow x = -84$

Answer: $x = -84$

(i) $\displaystyle \frac{2x}{3} + 10 = 22$

$\displaystyle \Rightarrow \frac{2x}{3} = 22 - 10$

$\displaystyle \Rightarrow \frac{2x}{3} = 12$

$\Rightarrow 2x = 12 \times 3$

$\Rightarrow 2x = 36$

$\displaystyle \Rightarrow x = \frac{36}{2}$

$\Rightarrow x = 18$

(ii) $\displaystyle \frac{9x}{8} - 2 = -65$

$\displaystyle \Rightarrow \frac{9x}{8} = -65 + 2$

$\displaystyle \Rightarrow \frac{9x}{8} = -63$

$\Rightarrow 9x = -63 \times 8$

$\Rightarrow 9x = -504$

$\displaystyle \Rightarrow x = \frac{-504}{9}$

$\Rightarrow x = -56$

Answer: (i) $x = 18$, (ii) $x = -56$

$x - 6 = 30 - x$

$\Rightarrow x + x = 30 + 6$

$\Rightarrow 2x = 36$

$\displaystyle \Rightarrow x = \frac{36}{2}$

$\Rightarrow x = 18$

Answer: $x = 18$

$9x - 24 = -200 - 7x$

$\Rightarrow 9x + 7x = -200 + 24$

$\Rightarrow 16x = -176$

$\displaystyle \Rightarrow x = \frac{-176}{16}$

$\Rightarrow x = -11$

Answer: $x = -11$

$3x - 7 + 9x = 59 + 6x$

$\Rightarrow 12x - 7 = 59 + 6x$

$\Rightarrow 12x - 6x = 59 + 7$

$\Rightarrow 6x = 66$

$\displaystyle \Rightarrow x = \frac{66}{6}$

$\Rightarrow x = 11$

Answer: $x = 11$

$36 - 4x = 68$

$\Rightarrow -4x = 68 - 36$

$\Rightarrow -4x = 32$

$\displaystyle \Rightarrow x = \frac{32}{-4}$

$(+ \div - = -)$

$\Rightarrow x = -8$

Answer: $x = -8$

(i) $6x + 45 = -5 + 8x$

$\Rightarrow 6x - 8x = -5 - 45$

$\Rightarrow -2x = -50$

$\displaystyle \Rightarrow x = \frac{-50}{-2}$

$(- \div - = +)$

$\Rightarrow x = 25$

(ii) $-3x + 34 - 6x = 106$

$\Rightarrow -9x + 34 = 106$

$\Rightarrow -9x = 106 - 34$

$\Rightarrow -9x = 72$

$\displaystyle \Rightarrow x = \frac{72}{-9}$

$(+ \div - = -)$

$\Rightarrow x = -8$

Answer: (i) $x = 25$, (ii) $x = -8$

Let the other integer be $x$.

$x + 622 = -98$

$\Rightarrow x = -98 - 622$

$\Rightarrow x = -720$

Answer: $-720$

Let the number be $x$.

$-292 + x = 58$

$\Rightarrow x = 58 - (-292)$

$\Rightarrow x = 58 + 292$

$\Rightarrow x = 350$

Answer: $350$

Let the number be $x$.

$-178 - x = 189$

$\Rightarrow -x = 189 + 178$

$\Rightarrow -x = 367$

$\Rightarrow x = -367$

Answer: $-367$

(i) Let the other integer be $x$.

$x \times 14 = -1274$

$\displaystyle \Rightarrow x = \frac{-1274}{14}$

Long division: $127 \div 14 = 9$, remainder $1$; $14 \div 14 = 1$, remainder $0$

$(- \div + = -)$

$\Rightarrow x = -91$

(ii) Let the smaller integer be $x$.

Larger $-$ smaller $=$ difference

$96 - x = 19$

$\Rightarrow -x = 19 - 96$

$\Rightarrow -x = -77$

$\Rightarrow x = 77$

Answer: (i) $-91$, (ii) $77$