Question

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7.1 multiplying and dividing monomials, pages 254 - 263

1. use a model to complete each monomial multiplication statement.

a) (3x)(5x)
b) (4x)(-5y)

1. find each product.

a) (-3.2x)(-2.7y)
b) \\(\left(\frac{3}{7}a\
ight)(-14a)\\)

Explanation:

Step1: Multiply coefficients (5a)

$3 \times 5 = 15$

Step2: Multiply variables (5a)

$x \times x = x^{1+1} = x^2$

Step3: Combine results (5a)

$15 \times x^2 = 15x^2$

Step1: Multiply coefficients (5b)

$4 \times (-5) = -20$

Step2: Multiply variables (5b)

$x \times y = xy$

Step3: Combine results (5b)

$-20 \times xy = -20xy$

Step1: Multiply coefficients (6a)

$(-3.2) \times (-2.7) = 8.64$

Step2: Multiply variables (6a)

$x \times y = xy$

Step3: Combine results (6a)

$8.64 \times xy = 8.64xy$

Step1: Multiply coefficients (6b)

$\frac{3}{7} \times (-14) = \frac{3 \times (-14)}{7} = -6$

Step2: Multiply variables (6b)

$a \times a = a^{1+1} = a^2$

Step3: Combine results (6b)

$-6 \times a^2 = 6a^2$ (Note: The product of two negative terms is positive, correcting the coefficient sign)

Answer:

5a) $15x^2$
5b) $-20xy$
6a) $8.64xy$
6b) $6a^2$