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18 - 3p - 11q + 5pq - 2pq 2 + 5p 2 q - 10 - 8p + 7q - 3pq + 5pq 2 + 4p 2 q (+) (+) (-) (+) (-) (-) ____________________________________ 28 + 5p - 18q + 8pq - 7pq 2 + p 2 q ____________________________________

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Algebraic Expressions and Identities

Short Answer Type

21.
Subtract 4p²q - 3pq 5pq²-8p + 7q - 10 from
18 - 3p - 11q + 5pq - 2pq²+5p²q

    18 - 3p - 11q + 5pq - 2pq² + 5p²q
-   10 - 8p + 7q - 3pq + 5pq² + 4p²q
    (+) (+) (-)    (+)     (-)        (-)
____________________________________
28 + 5p - 18q + 8pq - 7pq² + p²q
____________________________________

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22.

Classify the following into monomials, binomials, and trinomials:

a – b, –9, 10y, 61 + 5m, 5xy², a – b + c, a + 5, x²y + xy² – xy, –3xy, 7 – 3xyz

3. Add: 7x² – 4x + 5 and 9x - 10

4. Add: 7xy + 5yz – 3zx; 4yz + 9zx – 4y and –3xz + 5x – 2xy

5. Subtract: 5x² – 4y² + 6y – 3 from 7x² – 4xy + 8y² + 5x – 3y

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23.

Add: 7x² – 4x + 5 and 9x - 10

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24.

Add: 7xy + 5yz – 3zx; 4yz + 9zx – 4y and –3xz + 5x – 2xy

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25.

Subtract: 5x² – 4y² + 6y – 3 from 7x² – 4xy + 8y² + 5x – 3y

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26.

Find 4x x 5y x 7z. First find 4x x 5y and multiply it by 7z; or first find 5y x 7z and multiply it by 4x. Is the result the same? What do you observe? Does the order in which you carry out the multiplication matter?

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