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17 questions · 3 auto-graded MCQ + 14 self-marked written.

MCQ 41 Mark
Tick $(\checkmark)$ the correct answer : $(x + 4)(x + 4) = ?$
  • A
    $\left(x^2+16\right)$
  • B
    $\left(x^2+4 x+16\right)$
  • $\left(x^2+8 x+16\right)$
  • D
    $\left(x^2+16 x\right)$
Answer
Correct option: C.
$\left(x^2+8 x+16\right)$
$(x + 4)(x + 4)$
$= x^2 + (4 + 4)x + 4 \times 4$
$= x^2 + 8x + 16$
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Question 61 Mark
Add: $8ab, -5ab, 3ab, -ab$
Answer
$8ab + (-5ab) + (3ab) + (-ab)$
$= 8ab - 5ab + 3ab - ab$
$= 11ab - 6ab$
$= 5ab$
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Question 71 Mark
Find following products:
$(2x + 5)(2x - 5)$
Answer
$(2x + 5)(2x - 5)$
$= (2x)^2 - (5)^2 $
$= 4x^2 - 25$
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Question 81 Mark
Divide:
$24x^2y^3$ by $3xy$
Answer
$24\text{x}^2\text{y}^2\div3\text{xy}$
$\Rightarrow\Big(\frac{24}{3}\Big)\Big(\text{x}^{2-1}\Big)\Big(\text{y}^{3-1}\Big)$
$\Rightarrow8\text{xy}^2$
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MCQ 91 Mark
Tick $(\checkmark)$ the correct answer : $(x - 6)(x - 6) = ?$
  • A
    $\left(x^2-36\right)$
  • B
    $\left(x^2+36\right)$
  • C
    $\left(x^2-6 x+36\right)$
  • $\left(x^2-12 x+36\right)$
Answer
Correct option: D.
$\left(x^2-12 x+36\right)$
$(x - 6)(x - 6)$
$= x2 + (-6 - 6)x + (-6)(-6)$
$= x^2 - 12x + 36$
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Question 101 Mark
Divide:
$36xyz^2$ by $-9xz$
Answer
$36\text{xyz}^2\div-\text{9xz}$
$-\frac{36\text{xyz}^2}{-9\text{xz}}=-4\text{yz}^{2-1}=-4\text{yz}$
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Question 121 Mark
Find the following products:
$ (5x + 7) × (3x + 4)$
Answer
$(5x + 7) × (3x + 4) $
$= 5x(3x + 4) + 7(3x + 4)$
$= 15x^2 + 20x + 21x + 28$
$= 15x^2 + 41x + 28$
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MCQ 131 Mark
Tick $(\checkmark)$ the correct answer : If $(a + b) = 12$ and $ab = 14$, then $(a^2 + b^2) = ?$
  • A
    $172$
  • $116$
  • C
    $165$
  • D
    $126$
Answer
Correct option: B.
$116$
$ a+b=12 $
$ a b=14 $
$ a^2+b^2=(a+b)^2-2 a b $
$ =(12)^2-2 \times 14 $
$ =144-28 $
$ =116$
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Question 141 Mark
Find following products:
$(7x + 11y)(7x - 11y)$
Answer
$(7x + 11y)(7x - 11y) = (7x)^2 - (11y)^2$
$= 49x^2 - 121y^2$
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Question 151 Mark
Divide:
$-56 m n p^2$ by $7 m n p$
Answer
$-56\text{mnp}^2 \div 7\text{mnp}$
$\frac{-56\text{mnp}^2}{7\text{mnp}}\div-8\text{p}^{2-1}=-8\text{p}$
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Question 171 Mark
Divide:
$ -72x^2y^2z$ by $ -12xyz$
Answer
$-72\text{x}^2\text{y}^2\text{z} \div -12\text{xyz}$
$\frac{-72\text{x}^2\text{y}^2\text{z}}{-12\text{xyz}}=6\text{x}^{2-1}\text{y}^{2-1}=6\text{xy}$
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