# Lesson 14

Making More New, True Equations

• Let’s practice combining like terms and working with horizontal and vertical lines.

### 14.1: Criss Cross'll Make You Jump

Match each equation with its graph.

• $$x=7$$
• $$y=7$$
• $$x+y=7$$

### 14.2: They're Like Terms, Man

Rewrite each expression by combining like terms.

1. $$11s-2s$$

2. $$5t+3z-2t$$

3. $$23s-(13t+7t)$$

4. $$7t + 18r + (2r - 5t)$$
5. $$\text{-}4x + 6r - (7x + 2r)$$
6. $$3(c-5) + 2c$$
7. $$8x - 3y + (3y - 5x)$$
8. $$5x + 4y - (5x + 7y)$$
9. $$9x - 2y - 3(3x+y)$$
10. $$6x+12y + 2(3x-6y)$$

### 14.3: Finding More Lines

For each system of equations:

• Solve the system of equations by graphing. Write the solution as an ordered pair.
• Write an equation that would represented by a vertical or horizontal line that also passes through the solution of the system of equations.
• Graph your new equation along with the system.
1. \begin {cases} \begin {align}y = 3x+5\\ y=\text{-}x+1\end{align} \end {cases}

2. \begin {cases} \begin {align}y = \frac{1}{3}x-2\\ y=x-6\end{align} \end {cases}

3. \begin {cases} \begin {align} 2x+3y=10\\ x+y=3\end{align} \end {cases}