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Question 512 Marks

Evaluate : $7x − 9y + 3 − 3x − 5y + 8$

Answer

$7x − 9y + 3 − 3x − 5y + 8$
$= 7x − 3x − 9y − 5y + 3 + 8$
$= 4x − 14y + 11$

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Question 522 Marks

What must be subtracted from $19x^4 + 2x^3 + 30x – 37$ to get $8x^4 + 22x^3 – 7x – 60 ?$

Answer

The required result will be
$(19x^4 + 2x^3 + 30x – 37) − (8x^4 + 22x^3 – 7x – 60)$
$= 19x^4 + 2x^3 + 30x – 37 − 8x^4 + 22x^3 – 7x – 60$
$= 11x^4 – 20x^3 + 37x + 23$

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Question 532 Marks

Evaluate : $abx − 15abx − 10abx + 32abx$

Answer

$abx − 15abx − 10abx + 32abx$
$= 33abx − 25abx$
$= 8abx$

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Question 542 Marks

The two adjacent sides of a rectangle are $2x^2 – 5xy + 3z^2$ and $4xy – x^2 – z^2.$ Find its perimeter.

Answer

Adjacent sides of a rectangle are $2x^2 – 5xy + 3z^2$ and $4xy – x^2 – z^2$
$\therefore $ Perimeter $= 2(2x^2 – 5xy + 3z^2 + 4xy – x^2 – z^2)$
$= 4x^2 – 10xy + 6z^2 + 8xy – 2x^2 – 2z^2$
$= 2x^2 – 2xy + 4z^2$

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Question 552 Marks

Evaluate : $b^2y − 9b^2y + 2b^2y − 5b^2y$

Answer

$b^2y − 9b^2y + 2b^2y − 5b^2y$
$= 3b^2y − 14b^2y$
$= −11b^2y$

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Question 562 Marks

Evaluate : $−7x^2 + 18x^2 + 3x^2− 5x^2$

Answer

$−7x^2 + 18x^2 + 3x^2− 5x^2$
$= 21x^2 − 12x^2$
$= 9x^2$

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Question 572 Marks

Separate the constants and variables from the following :
$
\begin{aligned}
& -7,7+x, 7 x+y z, \sqrt{5}, \sqrt{x y}, \frac{3 y z}{8}, 4.5 y-3 x \\
& 8-5,8-5 x, 8 x-5 y \times p \text { and } 3 y^2 z \div 4 x
\end{aligned}
$

Answer

Clearly constants are: $-7, \sqrt{5}, 8-5$
Variable are: $7+x, 7 x+y z, \sqrt{x y}, \frac{3 y z}{8}, 4.5 y-3 x$,
$
8-5 x, 8 x-5 y \times p \text { and } 3 y^2 z \div 4 x
$

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