Inequalities — Quiz 2

Questions in this quiz (6)

1. A movie theater wants to collect no more than $$600$$ in ticket sales for a matinee showing. If adult tickets cost $$12$$ and child tickets cost $$8$$, which inequality represents this situation when $$A$$ adult tickets and $$C$$ child tickets are sold?

   • $$8A + 12C$$ > $$600$$
   • $$12A + 8C \leq 600$$
   • $$12A + 8C$$ < $$600$$
   • $$8A + 12C \geq 600$$

2. In an indoor soccer game, 2 points are awarded for a goal and 1 point for an assist. If the number of points from $$g$$ goals is at least as great as the number of points from $$a$$ assists and $$p$$ penalty kicks (each worth 1 point), which expression would represent this relationship?

   • $$g \ge 2a + 2p$$
   • $$2g \ge a + p$$
   • $$g \ge a + p$$
   • $$2g \ge 2a + p$$

3. In the inequality below, which has only real solutions, what is the set of possible solutions for $$x$$?$$\sqrt{x - 2}$$ < $$5$$

   • $$0 \leq x$$ < $$27$$
   • $$0 $$ < $$x$$ < $$27$$
   • $$2 \leq x $$ < $$27$$
   • $$0 \leq x$$ < $$25$$

4. Which of the following expresses all values of $$x$$ that make the solution of $$x^2 - 3x - 10$$ positive and nonzero?

   • $$x$$ < $$-5$$
   • $$x$$ > $$-2$$
   • $$x \geq 1$$
   • $$x$$ > $$0$$

5. If $$5x - 3 \leq 7$$, what is the greatest possible value of $$5x + 4$$?

   • 2
   • 5
   • 10
   • 14

6. What is the least integer $$n$$ for which $$0$$ < $$\frac{3}{n}$$ < $$\frac{2}{5}$$?

   • 8
   • 7
   • 15
   • 5