Lesson 13
Making New, True Equations
- Let’s practice solving equations.
13.1: Math Talk: Evaluating Expressions
Find the value of \(y\) when \(x = 5\).
\(y=3x-4\)
\(y=\frac{2}{5}x+4\)
\(y=2x+3 + (3x - 1)\)
\(y=4x - (x+1)\)
13.2: Solving for a Variable
Solve for the indicated variable.
- Solve for \(k\). \(2t+k=6\)
- Solve for \(n\). \(10n=2p\)
- Solve for \(c\). \(12-6d=3c\)
- Solve for \(g\). \(h=8g+4\)
- Solve for \(x\). \(4x+3y=12\)
- Solve for \(y\). \(4x+3y=12\)
13.3: Solving Some Equations
Solve each equation.
| row | column A | column B |
|---|---|---|
| 1 |
\(4(2x+8)-10 = 14\) |
\(4 + 2(\text-3x+5)=20\) |
| 2 |
\(3(x-4)+6 = 60\) |
\(3(\frac12x + 9)-5=55\) |
| 3 |
\(4(\frac{x+3}{2})-5 = 10\) |
\(7-2(6x+1)=\text-49\) |
| 4 |
\(2x+(5-3x) = 14\) |
\(1=5x+10-4x\) |
| 5 |
\(4x + 2(3-x)=16\) |
\(x+2(x-4)+5=12\) |
| 6 |
\(2x - 2(3x-1) = 8\) |
\(\text-6x+2(4x+5)=7\) |