##### Notes

This printable supports Common Core Mathematics Standard HSA-APR.A.1

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# Multiplying by Monomials (Grade 9)

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## Multiplying by Monomials

1.
Multiply. Simplify fully.
$(4y^3) (7y^5)$
1. $11y^8$
2. $28y^3$
3. $4y^3 7y^5$
4. $28y^8$

2.
Multiply the monomials.
$3x^7 * 2x^4$
1. $6x^11$
2. $5x^11$
3. $6x^28$
4. $5x^28$
3.
Multiply: $3x^4*8xy^3$
1. $38x^4y^3$
2. $24x^5y^3$
3. $24xy^3$
4. $4y^3$

4.
Multiply.
$3x(4x+7)$
1. $12x + 21$
2. $3x^2 + 7x$
3. $12x^2 + 21x$
4. $7x + 7$
5.
Multiply the monomial with the binomial.
$(-3y^3) (-2y^2 + 9y)$
1. $6y^5 - 27y^4$
2. $-6y^5 - 27y^4$
3. $-5y^5 + 6y^4$
4. $-6y^6 -27y^3$

6.
Multiply.
$3x^2 * (4x^3 - 7)$
1. $12x^6$
2. $4x^3 + 3x^2 - 7$
3. $7x^5 - 4x^2$
4. $12x^5 - 21x^2$
7.
Multiply the monomial with the trinomial.
$3x^2 * (5y^2 -3y + 6)$
1. $3x^2 + 5y^2 - 3y + 6$
2. $15x^2y^2 - 9x^2y + 18x^2$
3. $8x^2y^2 + 9x^2$
4. $15x^2y^2 - 3y +6$

8.
Multiply.
$(3ab) (-2a^2 + 5ab - b^2)$
1. $-2a^2 + 8a^2b^2 - b^2$
2. $a^3b + 8a^2b^2 + 2ab^3$
3. $3a^2b + 5ab - 3ab^2$
4. $-6a^3b + 15a^2b^2 - 3ab^3$
9.
Multiply.
$2x^3y * (-5x^2y + 9xy - 4y^2 + x -3)$
1. $-10x^5y^2 + 18x^4y^2 - 8x^3y^3 + 2x^4y - 6x^3y$
2. $2x^3y - 5x^2y + 9xy - 4y^2 + x - 3$
3. $-10x^6y + 9x^3y - 4y^2 + 2x^3 - 6$
4. $-3x^6y^2 + 11x^3y^2 - 2x^3y^2 +2x^4y - x^3y$

10.
Multiply.
$3x (5x^3 + 2x^2 - 7x)$
1. $15x^3 + 3x^2 - 21x$
2. $15x^4 + 6x^3 - 21x^2$
3. $5x^3 + 2x^2 - 4x$
4. $8x^4 +5x^3 - 4x^2$
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