Questions: Evaluate the following expressions for the given values. Use your graphing calculator to check your answers. Round your answers to two decimal places as needed. - 7 x-3 for x=-5 4-6 x for x=-9 Answer: -8 Answer: 58 - frac12 b h for b=7, h=9.5 6 x^2+3 x-5 for x=8 Answer: 33.25 Answer: 403

Evaluate the following expressions for the given values. Use your graphing calculator to check your answers. Round your answers to two decimal places as needed.

- 7 x-3 for x=-5  4-6 x for x=-9 

Answer: -8  Answer: 58 

- frac12 b h for b=7, h=9.5  6 x^2+3 x-5 for x=8 

Answer: 33.25  Answer: 403
Transcript text: Get a similar question You can retry this question below Evaluating Algebraic Expressions Evaluate the following expressions for the given values. Use your graphing calculator to check your answers. Round your answers to two decimal places as needed. \begin{tabular}{|c|c||} \hline $7 x-3$ for $x=-5$ & $4-6 x$ for $x=-9$ \\ \hline Answer: -8 & Answer: 58 \\ \hline$\frac{1}{2} b h$ for $b=7, h=9.5$ & $6 x^{2}+3 x-5$ for $x=8$ \\ Answer: 33.25 & Answer: 403 \\ \hline \end{tabular} Question Help: Video Submit Question
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Solution

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Solution Steps

To evaluate the given algebraic expressions for the specified values, substitute the given values into each expression and perform the arithmetic operations. This will yield the numerical result for each expression.

Step 1: Evaluate \(7x - 3\) for \(x = -5\)

To evaluate the expression \(7x - 3\) for \(x = -5\), substitute \(-5\) for \(x\) in the expression: \[ 7(-5) - 3 = -35 - 3 = -38 \]

Step 2: Evaluate \(4 - 6x\) for \(x = -9\)

To evaluate the expression \(4 - 6x\) for \(x = -9\), substitute \(-9\) for \(x\) in the expression: \[ 4 - 6(-9) = 4 + 54 = 58 \]

Step 3: Evaluate \(\frac{1}{2}bh\) for \(b = 7\) and \(h = 9.5\)

To evaluate the expression \(\frac{1}{2}bh\) for \(b = 7\) and \(h = 9.5\), substitute \(7\) for \(b\) and \(9.5\) for \(h\) in the expression: \[ \frac{1}{2} \times 7 \times 9.5 = \frac{1}{2} \times 66.5 = 33.25 \]

Final Answer

  • For \(7x - 3\) when \(x = -5\), the answer is \(\boxed{-38}\).
  • For \(4 - 6x\) when \(x = -9\), the answer is \(\boxed{58}\).
  • For \(\frac{1}{2}bh\) when \(b = 7\) and \(h = 9.5\), the answer is \(\boxed{33.25}\).
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