Chapter 4

In the expression below, specify the number of terms that are present, then list them. $$ 3 a(a+1)-(a+2)(a-3) $$

For the following problems, write the number of terms that appear, then write the terms. $$ 4 x^{2}+7 x+12 $$

Find the domain of each of the following equations. Assume that the independent variable is the variable that appears in the expression on the right side of the \("="\) sign. $$ y=5 x+10 $$

Classify the following equations in terms of their degree. $$ 3 x+6=0 $$

Determine the following products. $$ 3(x+8) $$

\(f=32 a\). Determine the value of \(f\) if \(a=6\)

Let's say it again. The difference between terms and factors is that terms are joined by signs and factors are joined by ______signs.

List, if there are any, the common factors of \(20 x^{3} y^{2}+15 x^{3} y^{2} z^{2}+10 x^{3} z^{2}\)

For the following problems, write the number of terms that appear, then write the terms. $$ 14 y^{6} $$

Find the domain of each of the following equations. Assume that the independent variable is the variable that appears in the expression on the right side of the \("="\) sign. $$ y=\frac{5}{x} $$

Find the following products. $$ (x+7)^{2} $$

Classify the following equations in terms of their degree. $$ 9 x^{2}+5 x-6=3 $$

Simplify each of the following expressions. $$ 4 y+7 y $$

Determine the following products. $$ (2+a) 4 $$

\(p=\frac{10,000}{v} . \quad\) Determine the value of \(p\) if \(v=250\).

List the terms in the following expressions. $$ 4 x^{2}-8 x+7 $$

How many \(y^{2}(b+2) ' s\) in \(8 x y^{2}(b+2)(b-6) ?\)

For the following problems, write the number of terms that appear, then write the terms. $$ c+8 $$

Find the following products. $$ (y-6)^{2} $$

Classify the following equations in terms of their degree. $$ 25 y^{3}+y=9 y^{2}-17 y+4 $$

Simplify each of the following expressions. $$ 3 x+6 x+11 x $$

Determine the following products. $$ \left(a^{2}-2 b+6\right) 2 a $$

\(F=\frac{9}{5} C+32 . \quad\) Determine the value of \(F\) if \(C=10\).

List the terms in the following expressions. $$ 2 x y+6 x^{2}+(x-y)^{4} $$

Write the coefficient of \(x^{3}\) in \(8 x^{3} y^{3} z\).

Find the domain of each of the following equations. Assume that the independent variable is the variable that appears in the expression on the right side of the \("="\) sign. $$ y=\frac{9}{x-6} $$

Find the following products. $$ (3 a+b)^{2} $$

Classify the following equations in terms of their degree. $$ x=9 $$

Simplify each of the following expressions. $$ 5 a+2 b+4 a-b-7 b $$

Determine the following products. $$ 8 a^{2} b^{3}(2 a+7 b+3) $$

\(y=-9 x-14 .\) Determine the value of \(y\) if \(x=-3 .\)

List the terms in the following expressions. $$ 5 x^{2}+3 x-3 x y^{7}+(x-y)\left(x^{3}-6\right) $$

Find the value of \(P^{2}\) if \(k=4\) and \(a=3\). $$ P^{2}=k a^{3} $$

Find the domain of each of the following equations. Assume that the independent variable is the variable that appears in the expression on the right side of the \("="\) sign. $$ m=\frac{1}{n+2} $$

Find the following products. $$ (9 m-n)^{2} $$

Classify the following equations in terms of their degree. $$ y=2 x+1 $$

Simplify each of the following expressions. $$ 10 x^{3}-4 x^{3}+3 x^{2}-12 x^{3}+5 x^{2}+2 x+x^{3}+8 x $$

Determine the following products. $$ 4 x\left(2 x^{5}+6 x^{4}-8 x^{3}-x^{2}+9 x-11\right) $$

\(m=5 p^{3}-2 p+7\). Determine the value of \(m\) if \(p=-2\).

In the expression \(8 x^{2}-5 x+6\), list the factors of the first term: second term: third term:

Classify the polynomial given below as a monomial, binomial, trinomial, or none of these. Specify the degree of the polynomial and write the numerical coefficient of each term. \(3 x^{3} y+4 x y^{4}+8 x^{2} y^{2} z^{0} w, \quad z \neq 0\)

List, if any should appear, the common factors for the following problems. $$ 9 y^{4}-18 y^{4} $$

Find the domain of each of the following equations. Assume that the independent variable is the variable that appears in the expression on the right side of the \("="\) sign. \(s=\frac{4}{9} t^{2},\) where this equation relates the distance an object falls, \(s,\) to the time, \(t,\) it has had to fall.

Find the following products. $$ (10 x-2 y)^{2} $$

Classify the following equations in terms of their degree. $$ 3 y=9 x^{2} $$

Simplify each of the following expressions. $$ 2 a^{5}-a^{5}+1-4 a b-9+9 a b-2-3-a^{5} $$

Determine the following products. $$ \left(3 a^{2} b\right)\left(2 a b^{2}+4 b^{3}\right) $$

Observe the equations and state the relationship being expressed. $$ x=6 y $$

In the expression \(10+2(b+6)(b-18)^{2},\) list the factors of the first term: second term:

Simplify the algebraic expressions for the following problems. $$ 4 x^{2}+3 x+2 x+11 x^{2}-3 $$