Exam 4: Basic Algebra: Solving Simple Equations

Solve. -A fence was installed surrounding a plot of land which had the following side measurements. Write an expression, in simplified form, for the sum of the lengths of the sides of the plot of land.

Evaluate the expression. - $r-\frac{5}{4}$ , if $r=\frac{3}{2}$

Solve the problem. -Write a word problem that corresponds to the following equation. $5 x=52$ .

Translate the word phrase to an algebraic expression. -4 less than $y$

Solve the problem. -It is your goal to have $\$ 4577$ in savings, and your opening balance is $\$ 1083$ . Write an equation describing how much more money you need to reach your goal.

Evaluate the expression. - $\frac{x}{7}$ , if $x=28$

Write an equation. Then, solve and check. -In a certain company, 900 employees, $\frac{1}{3}$ of all employees of the company, lost their jobs last week. How many employees were there before the employees lost their jobs?

Translate the word phrase into an algebraic expression. -The quotient of 2 and $x$

Solve. -An alcohol-and-water solution contains 27 liters of alcohol. That is $\frac{3}{4}$ of the total volume of the solution. Write and solve an equation to determine the total volume, $\mathrm{V}$ , of the solution.

Translate the sentence to an equation then solve. -The quotient of $n$ and 8 is 2 .

Solve the equation. - $10 x=30$

Solve the problem. -Is $\frac{x}{10}=8$ equivalent to $\frac{10}{x}=8$ ? Why?

Identify the operation to perform on each side of the equation to isolate the variable. - $19=w-2$

Solve. - $2.2 \mathrm{a}=55$

Identify the operation to perform to the equation to isolate the variable. - $6 x=24$

Solve the problem. -The starting pitcher pitched $2 \frac{2}{3}$ innings in last night's baseball game which had 10 innings. Write an equation to represent the number of innings the reliever pitched.

Translate the sentence to an equation then solve. -The product of 7 and a number $x$ equals 42 .

Translate the sentence to an equation. - $\frac{1}{4}$ of q equals 3 .

Solve. - $y+9=9$

Solve the problem. -The local movie theater reported that this week's attendance was 5011, up 574 from last week. What was last week's attendance?