Exam 2: Linear Equations and Inequalities

Ticket sales for a play total $900 . There are three times as many adult tickets sold as children s tickets. The prices of the tickets for adults and children are $6 and $2 , respectively. Find the number of children s tickets sold.

Sketch the graph of $1 \leq x \leq 5$ .

Solve $| 30 - 5 t | = 55$ , if possible.

2.7 is what percent of 482? Round your answer to two decimal places.

Find an equation that has x=6 as a solution.

Which inequality has the graph that is shown?

If a product is discounted by $249.9 and is selling for $860.1 , what is the list price?

Solve: $2 x < 4$

Write $x < - 5$ or $x > 4$ using set notation and the union or intersection symbol.

Determine if $x = 9$ is a solution to $| x - 7 | \geq 3$ .

A surfboard manufacturing company has an annual operating cost C (in dollars)of $C = 130 x + 325,800$ where x is the number of surfboards produced in a year. What is the maximum number of surfboards that can be produced while maintaining annual operating costs of no more than $500,000 ?

A tractor uses 6 gallons of diesel fuel to plow for 105 minutes. Determine the number of gallons of fuel used in 7 hours. Round your answer to two decimal places.

Transform the absolute value equation $| x - 15 | = 16$ into two linear equations.

Match the inequality $\frac { 1 } { 2 } | x - 4 | > 3$ with its graph.

Determine whether the inequalities $7 x - 2 \leq 5 x + 4$ and $2 x \leq 6$ are equivalent.

Solve the linear equation $- 6 - 2 x = 6$ for x .

Translate the verbal statement into a linear inequality. x is greater than -14 and less than or equal to 4

Which of the following is a solution to the inequality $5 - \frac { 1 } { 3 } x > 0$ ?

Solve the inequality: $8 ( x + 1 ) \geq 5 ( x + 9 )$

Find an equation that has $x = - 3$ as a solution.