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Evaluating Expressions/Substitution Solutions

Use order of operations when evaluating expressions.
-  In math, evaluating means to calculate the value of something. 
Evaluating is often used when an expression contains a variable . 
- If you know the value of a variable, evaluate the expression by substituting that value into the expression wherever that variable is. 
- Then, use order of operations to simplify the expression and determine its final value.

Evaluate the expression when $a = 1, b = 2, c = 3, d = 4$ .

$- a^{2} + \frac{b c}{d}$

Implement

$- {(1)}^{2} + \frac{2 (3)}{4} - 1 + \frac{6}{4} - 1 + \frac{3}{2} = - \frac{2}{2} + \frac{3}{2} \frac{1}{2}$

Explain

Evaluate the expression when $x = 3, y = 12, z = - 2$ .

$x y z - x + y \div z^{2}$

Implement

$(3) (12) (- 2) - 3 + 12 \div {(- 2)}^{2} - 72 - 3 + 12 \div 4 - 72 - 3 + 3 - 72$

Explain

Determine which value of x makes the equation true.

$\frac{2}{3} x - 6 = 5 when x = 3 or x = \frac{33}{2}$

Implement

$\begin{array}{rcl} \frac{2}{3} (3) - 6 & = & 5 \\ 2 - 6 & = & 5 \\ - 4 & = & 5 ☒ \end{array}$

$\begin{array}{rcl} \frac{{}^{1}2}{{}_{1}3} (\frac{33^{11}}{2_{1}}) - 6 & = & 5 \\ 11 - 6 & = & 5 \\ 5 & = & 5 ✓ \end{array}$

$\begin{array}{rcl} x & = & \frac{33}{2} \end{array}$

Explain