Find the equation of the line passing through (1/3, 2) and (4/3, −1). Provide the point-slope form using the first point and then convert to slope-intercept form.

Solve the system: $y=\frac{2}{3}x-1$ and $3x+2y=7$. Provide the intersection point.

Solve the system using substitution: { y = (3/4)x - 2 ; (1/2)x + (3/2)y = 6 }

Solve the system: $-2x+7y=1$ and $4x-3y=11$. Provide the final ordered pair.

Using the product rule, simplify $2^4\times 2^3$.

Simplify symbolically $\frac{p^{2n+3}}{p^{n+1}}$. Express your answer in terms of $n$.

Simplify ${\left(2a^3{b}^2\right)}^2\cdot a^{4}b$.

Given the equation $(\frac{2x}{5y}{)}^3=\frac{16}{125}$ with $x$ and $y$ nonzero, find $\frac{x}{y}$.

Simplify the rational expression $\frac{3x^{-2}{y}^3}{x^{-5}{y}^{-1}}$ and express your answer with only positive exponents.

Simplify the expression ${\left(\frac{2x^{-1}{y}^3}{4x^2{y}^{-1}}\right)}^{-2}$.

Determine the degree of the polynomial $P(x,y)=x^4+2x^2{y}^3+y^6$ and justify how you found it.

Simplify $(4x^2+6x)+(-x^2+2x)$ and factor the result by pulling out the greatest common factor.

Multiply and simplify: (2x² + 3x - 1)(x² - x + 2). Provide the simplified quartic polynomial.

Factor the trinomial $16x^2-24x+9$ completely.

Factor completely, and show the GCF extraction and the resulting expression: $18x^4{y}^3-12x^2{y}^5+6x^3{y}^2$

Which statement best explains why the method of finding two integers that multiply to $c$ and add to $b$ fails for: $2x^2+5x+3$?

Use the AC method to factor $8x^2-2x-15$.

Given the polynomial $125z^3-8$, factor completely.

Factor the expression: $6x^2+11x-35$ completely by using the grouping method or a trial-and-error approach when necessary.