Exam 2: Linear Equations and Inequalities

Two cars start at the same point and travel in the same direction at average speeds of 65 miles per hour and 40 miles per hour. How much time (in hours)must elapse before the two cars are 87.5 miles apart?

1645.6 is 88% of what number?

An item at a tourist shop sells for $127.6 . The cost of the item to the shop is $58 . What is the markup rate?

Solve the proportion $\frac { 5 x + 3 } { 9 } = \frac { 9 - 2 x } { 4 }$ to determine x .

Complete the table showing the equivalent forms of a percent. Reduce fractions to simplest form. Percent Parts out of 100 Decimal Fraction 65%

Rewrite $| y + 6 | < 5$ as a double inequality.

Solve $\left| \frac { 3 x - 2 } { 4 } \right| + 6 \geq 6$ , if possible. Write the answer in set notation.

Write an absolute value inequality that represents the interval shown in the following figure.

Solve the equation $x - 7 = 5$ .

The perimeter of a rectangle is $216$ inches. The length of the rectangle is $\text { three }$ times its width. Find the dimensions of the rectangle.

Solve $| 11 - 7 x | < - 10$ , if possible. Write the answer in set notation.

Write $" 36 \text { inches to } 54 \text { inches" }$ as a ratio and simplify.

Solve the linear equation $7 x + 77 = 0$ for x .

A shoe store sells a pair of shoes for $60.5 . The cost of the shoes to the store is $41.54 . What is the markup?

A shoe store sells a pair of athletic shoes for $74 . The shoes go on sale for $41 . What is the discount?

Determine if x=-3 is a solution to $x + 16 = - 3 x$ .

The sum of 5 consecutive odd integers is 305 . Find the 5 integers.

A time study was conducted to determine the length of time required to perform a task in a manufacturing process. The times required by approximately two-thirds of the workers in the study satisfied the inequality $\left| \frac { t - 15.6 } { 1.6 } \right| \leq 1$ where t is the time in minutes. What are the maximum and minimum times? Round your answer to one decimal place.

Solve $\left| \frac { y } { 8 } \right| < 8$ , if possible. Write the answer in set notation.

Use cross-multiplication to solve the equation $\frac { x - 3 } { 4 } = \frac { 19 } { 24 }$ for x .