91Ó°ÊÓ

In Exercises 51-54, determine whether each value of \(x\) is a solution of the equation. \(\frac{2}{x}-\frac{1}{x}=1\) (a) \(x=0\) (b) \(x=\frac{1}{3}\)

In Exercises \(47-66\), simplify the expression by removing symbols of grouping and combining like terms. $$ 8 l-(3 l-7) $$

In Exercises 51-54, determine whether each value of \(x\) is a solution of the equation. \(\frac{4}{x}+\frac{2}{x}=1\) (a) \(x=0\) (b) \(x=6\)

In Exercises \(45-54\), evaluate the algebraic expression for the given values of the variables. If it is not possible, state the reason. \(\frac{2 x-y}{y^{2}+1}\) (a) \(x=1, y=2\) (b) \(x=1, y=3\)

The dimensions of a rectangular lawn are 150 feet by 250 feet. The property owner buys a rectangular strip of land \(x\) feet wide along one 250 -foot side of the lawn. Draw diagrams representing the lawn before and after the purchase. Write an expression for the area of each.

A bubble rises through water at a rate of about \(1.15\) feet per second. How far will the bubble rise in 5 seconds?

In Exercises 51-54, determine whether each value of \(x\) is a solution of the equation. \(\frac{5}{x-1}+\frac{1}{x}=5\) (a) \(x=3\) (b) \(x=\frac{1}{6}\)

\((x+2 y)(-3 x-z)\) (a) \(x=2, y=-1, z=-1\) (b) \(x=-3, y=2, z=-2\)

In Exercises \(47-66\), simplify the expression by removing symbols of grouping and combining like terms. $$ -6(2-3 x)+10(5-x) $$

A train travels at an average speed of 50 miles per hour. How long will it take the train to travel 350 miles?