Learning Task $2$ $A$ Solve the systems $o1$ equations $by$ a) graphing b) elimination $c$ substit Eq. $1:$ $2x-3y=-1$ Eq. $a.2:y=x-1$ B. Solve the problem using any method. The sum of two numbers is $32$ and the difference $1s$ $2$ Find the numbers

B. Graph the following systems of linear equations. Use a graphing paper. $1$ $ \begin{cases} x+y=2 \\ x+y=4 \end{cases} $ 2. $ \begin{cases} x-y=3 \\ 4x-3y=12 \end{cases} $ 3. $ \begin{cases} x=3 \\ 2x+2\bar{y} =4 \end{cases} $ 4. $ \begin{cases} 2x+y=4 \\ 4x+2y=4 \end{cases} $ 5. $ \begin{cases} y=4x+1 \\ y=-2x-5 \end{cases} $ $6$ $ \begin{cases} x+2y=7 \\ x-3y=3 \end{cases} $ C. Given the graph, categorize the kind of system of linear equations. 1. 3. 5. 7. 2. $1$ 4. 6. $8.$ D. Without graphing, identify the type of system of linear equation. – 1. $ \begin{cases} 7x-5y=12 \\ 7x-5y=1 \end{cases} $ $3. \begin{cases} 2x=8-3y \\ 2x+y=6 \end{cases} $ 5. $ \begin{cases} 4x+3=4y \\ x-5=y \end{cases} $ $2. \begin{cases} x+2y=4 \\ 2x+4y=8 \end{cases} $ $4$ $ \begin{cases} 3x-y=2 \\ 3x+y=5 \end{cases} $ 6. $ \begin{cases} 5x+2y=9 \\ 8x-3y=2 \end{cases} $

Learning Task $4:$ Do the following in your notebook. A. Find the equation of the line given the graph. $1$ $2$ $3$

A. Divide each of the $fo1lowing$ using the two methods $1$ $\left(x^{2-7x+10}\right)\div \left(x-5\right)$ $2$ $\left(x^{2+x-20}\right)\div \left(x-4\right)$ $3$ $\left(x^{3+3x^{2+5x+3}}\right)\div \left(x+1\right)$ $4$ $\left(2x^{3-18x-45+5x^{2}}\right)\div \left(x+5\right)$ $5$ $\left(3x^{2+7x^{3+11x-4}}\right)\div \left(x+2\right)$

Determine the factors of the given polynomial. $1.$ $x3+2\times 2-5x-6$ $2.$ $\times 3+\times 2-x-1$ $3.$ $\times 3-\times 2-10x-8$

$A$ Answer the $f_{o11owing}$ $1$ What is the remainder when $2x10+7x^{5}$ $-5is$ divided $byx-1p$ 2. What is the remainder $x2+8x+12$ when divided $byx-27$ $3$ What are the factors of $x2+8x+122$ $4.$ If the remainder of the $x3-kx^{2+3x-2}$ when divided by $yx-1$ is 4, find the value of k. B. $Answcnn$ the following questions. $1$ How do you factor polynomials? Discuss the mathematics concepts $an$ principles applied when factoring polynomials. $2.1$ What new realizations do you have about factoring polynomials? How would you connect this to real life? How would you use this in making decisions?