Exam 2: Introduction to Algebra

Square this binomial: $(2 a-3.5)$

Identify the factors in each of the following expressions. (a) $16 x y$ (b) $(x+2)(3 y-z)$ (c) $2 x$ (d) $x(y z)$

Divide $x^{2 n} y^{3 n} z^{3 n}$ by $(x y z)^{2 n}$ .

Add $3 p^{2}-3 a\left(y-z^{2}\right), 9 a\left(y-z^{2}\right)-6 p$ , and $12 p c-7 a\left(y-x^{2}\right)$ .

How many terms are in the following expression? $(y-5)(2 y+3)-8$

The area of a circle with radius $r$ is given by $\pi r^{2}$ . If the radius is increased by 3.00 , by how much does the area increase?

Simplify: $\left(x^{3}\right)^{2 a+5}$

Square this binomial: $\left(y^{3}-y\right)$

Divide $x^{a}$ by $x^{b}$ .

Multiply these binomials, and simplify: $(x-3 y)(x+3 y)(3 y-2 x)$