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.

  1. Solve for \(k\). \(2t+k=6\)
  2. Solve for \(n\). \(10n=2p\)
  3. Solve for \(c\). \(12-6d=3c\)
  4. Solve for \(g\). \(h=8g+4\)
  5. Solve for \(x\). \(4x+3y=12\)
  6. 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

\(2x - 2(3x-1) = 8\)

\(\text-6x+2(4x+5)=7\)

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Summary