Problem 13
With two minutes left in a basketball game, your team is 12 points behind. What are two different numbers of 2 -point and 3-point shots your team could score to earn at least 12 points? Write a verbal model for the situation. Assign labels to each part of the verbal model and write an inequality.
Problem 16
Solve the inequality and graph its solution. \(-2 b \leq-8\)
Problem 17
Solve the inequality. $$|3 x+1| \leq 5$$
Problem 23
Graph the inequality. \(x<16\)
Problem 24
Sketch the graph of the inequality. $$x \leq 5$$
Problem 27
Solve the equation. $$|x+3|=9$$
Problem 34
Solve the inequality and graph the solution. Then check graphically whether the given \(x\) -value is a solution by graphing the \(x\) -value on the same number line. $$ -2 x \geq 6 \text { or } 2 x+1>5 ; x=0 $$
Problem 35
Sketch the graph of the inequality. $$-3 x \geq 15$$
Problem 35
Solve the equation. $$|2 x-4|-8=10$$
Problem 37
An amusement park charges \(\$ 5\) for admission and \(\$ 1.25\) for each ride. You go to the park with \(\$ 25 .\) Write an inequality that represents the possible number of rides you can go on. What is the maximum number of rides you can go on?