Multiplying polynomials by monomials

Lessons

1. Multiply each expression by using an area model.
   1. $\left( {3x} \right)\left( {7x + 4} \right)$
   2. $\left( {2x + 8} \right)\left( {1.6x} \right)$
2. Multiply.
   1. $\left( {4.6} \right)\left( {3x - 8} \right)$
   2. $\left( {5x} \right)\left( {2x - 1.2} \right)$
   3. $\left( {4x - 1} \right)\left( {6x} \right)$
   4. $\left( {13 - 9x} \right)\left( {2.3x} \right)$
   5. $\left( {3x} \right)\left( {2x + 5y + 7} \right)$
   6. $\left( {\frac{1}{4}x - 2} \right)\left( { - x} \right)$
3. The width of a rectangular grass field is 1.5 m shorter than 0.7 times the length.
   1. Determine the expression for the area of the field.
   2. If the width is 6.9 m, what is the area of the field?