4.3 Classification of expressions and equations  (Page 2/2)

$3x+6=0$

$9x^2+5x-6=3$

$25y^3+y=9y^2-17y+4$

$x=9$

$y=2x+1$

$3y=9x^2$

$x^2-9=0$

$y=x$

$5x^7=3x^5-2x^8+11x-9$

$5x+7$

$16x+21$

$4x^2+9$

$7y^3+8$

$a^4+1$

$2b^5-8$

$5x$

$7a$

$5x^3+2x+3$

$17y^4+y^5-9$

$41a^3+22a^2+a$

$6y^2+9$

$2c^6+0$

$8x^2-0$

$9g$

$5xy+3x$

$3yz-6y+11$

$7a{b}^2{c}^2+2a^2{b}^3{c}^5+a^{14}$

$x^4{y}^3{z}^2+9z$

$5a^{3}b$

$6+3x^2{y}^{5}b$

$-9+3x^2+2xy6z^2$

5

$3x^2{y}^0{z}^4+12z^3,y\ne 0$

$4x{y}^3{z}^5{w}^0,w\ne 0$

$4x+7=0$

$3y-15=9$

$y=5s+6$

$y=x^2+2$

$4y=8x+24$

$9z=12x-18$

$y^2+3=2y-6$

$y-5+y^3=3y^2+2$

$x^2+x-4=7x^2-2x+9$

$2y+5x-3+4xy=5xy+2y$

$3x-7y=9$

$8a+2b=4b-8$

$2x^5-8x^2+9x+4=12x^4+3x^3+4x^2+1$

$x-y=0$

$x^2-25=0$

$x^3-64=0$

$x^{12}-y^{12}=0$

$x+3x^5=x+2x^5$

$3x^2{y}^4+2x-8y=14$

$10a^2{b}^3{c}^6{d}^0{e}^4+27a^3{b}^2{b}^4{b}^3{b}^2{c}^5=1,d\ne 0$

The expression $\frac{4x^3}{9x-7}$ is not a polynomial because

The expression $\frac{a^4}{7-a}$ is not a polynomial because

Is every algebraic expression a polynomial expression? If not, give an example of an algebraic expression that is not a polynomial expression.

Is every polynomial expression an algebraic expression? If not, give an example of a polynomial expression that is not an algebraic expression.

How do we find the degree of a term that contains more than one variable?

( [link] ) Use algebraic notation to write “eleven minus three times a number is five.”

( [link] ) Simplify ${(x^4{y}^2{z}^3)}^5$ .

( [link] ) Find the value of $z$ if $z=\frac{x-u}{s}$ and $x=55,u=49,$ and $s=3$ .

( [link] ) List, if any should appear, the common factors in the expression $3x^4+6x^3-18x^2$ .

( [link] ) State (by writing it) the relationship being expressed by the equation $y=3x+5$ .