Question

for problems 24–27, evaluate each expression when ( a = 4 ) and ( b = 5 ). show your work.

1. ( \frac{ab}{2} )
2. ( \frac{a^2}{8} )

Explanation:

Problem 24:

Step1: Substitute \(a = 4\) and \(b = 5\) into \(\frac{ab}{2}\)

\(\frac{4\times5}{2}\)

Step2: Calculate numerator first

\(4\times5 = 20\), so we have \(\frac{20}{2}\)

Step3: Divide 20 by 2

\(\frac{20}{2}=10\)

Step1: Substitute \(a = 4\) into \(\frac{a^{2}}{8}\)

\(\frac{4^{2}}{8}\)

Step2: Calculate \(4^{2}\)

\(4^{2}=16\), so we have \(\frac{16}{8}\)

Step3: Divide 16 by 8

\(\frac{16}{8} = 2\)

Answer:

10

Problem 25: