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.
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\(11s-2s\)
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\(5t+3z-2t\)
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\(23s-(13t+7t)\)
- \(7t + 18r + (2r - 5t)\)
- \(\text{-}4x + 6r - (7x + 2r)\)
- \(3(c-5) + 2c\)
- \(8x - 3y + (3y - 5x)\)
- \(5x + 4y - (5x + 7y)\)
- \(9x - 2y - 3(3x+y)\)
- \(6x+12y + 2(3x-6y)\)
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.
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\(\begin {cases} \begin {align}y = 3x+5\\ y=\text{-}x+1\end{align} \end {cases}\)
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\(\begin {cases} \begin {align}y = \frac{1}{3}x-2\\ y=x-6\end{align} \end {cases}\)
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\(\begin {cases} \begin {align} 2x+3y=10\\ x+y=3\end{align} \end {cases}\)