Exam 5: Polynomials: an Introduction to Algebra

Simplify by first removing the parentheses and then combining the like terms. $- ( x - 9 ) - 6 ( 6 + x )$

Find the product. $\frac { 1 } { 2 } a ^ { 2 } b \left( 8 a b ^ { 2 } - 2 a ^ { 2 } b \right)$

Divide. $\frac { 16 x ^ { 14 } } { 12 x ^ { 2 } }$

Find the product. $( w - s ) ( w - x )$

Let $X$ = $2$ and $q$ = $12$ and evaluate the expression. $\frac { ( q - x ) ^ { 2 } - 4 q } { 3 x }$ Give your answer as a mixed number.

Simplify by first removing the parentheses and then combining the like terms. $- 13 \left( 3 x ^ { 2 } - 5 y ^ { 2 } \right)$

Use the rule for exponents to simplify the following expression. $\left( - 4 x ^ { 6 } y ^ { 5 } m ^ { 2 } \right) ^ { 3 }$

Find the quotient and check. $\left( 48 z ^ { 2 } - 94 z + 40 \right) \div ( 6 z - 8 )$

Find the product. $( 12 q ) \left( 5 q ^ { 5 } m \right)$

Find the product. $( 5 x - 4 ) ( 3 x - 8 )$

Find the product. $5 \left( a ^ { 2 } - 4 \right)$

Subtract. $- 9 x ^ { 2 } - 5 x + 6$ , from $5 x ^ { 2 } + 2 x + 2$

Evaluate the expression when q = 2 and x = 5. $( 4 q ) \left( q x ^ { 3 } \right)$

Add. ( $4$ x + $6$ y ) + ( $- 6$ x - $6$ y ) + ( - x - $6$ y ) + ( $6$ x - $2$ y )

Subtract. $- 7 x ^ { 2 } - 6 x + 4$ , from $4 x ^ { 2 } + 2 x + 2$

Subtract. $6 x ^ { 2 } + 6 x - 3$ , from $4 x ^ { 2 } - 8 x + 7$

Simplify by first removing the parentheses and then combining the like terms. $( 5 - 4 x ) + ( 4 x + 9 )$

Find the product. $9 a \left( 3 a ^ { 2 } + 6 a - 18 \right)$

Find the product. $x y \left( 5 x + 2 x y - y ^ { 2 } \right) - 2 x y ^ { 2 } ( 2 x - x y + 5 y )$

Find the product. $6 a \left( 3 a ^ { 2 } + 6 a - 12 \right)$