Chapter 5

Find \(\frac{3}{8} \times \frac{5}{7}\) without using a calculator.

In each case, simplify the given expression, if possible. \( a b+a b c\)

Rewrite \(\sqrt{a^{5}}\) using a single index.

Simplify (a) \(5(3 x)\), (b) \(4(2 x)\), (c) \(8(-7 x)\)

In each case, simplify the given expression, if possible. \( \quad 0.01 x+0.35 x\)

Transpose the formula $$ Q=\lambda A\left(\frac{T_{2}-T_{1}}{\ell}\right) $$ to make \(\ell\) the subject.

Remove the brackets from the given expression: \((x+1)(x-3)\)

Express the numbers 4320 and \(0.0065\) in scientific notation.

Find \(\frac{8}{5}\) of 120

Find \(\frac{5}{7 y}+\frac{2 x}{3}\)