Inequalities — Quiz 1

Questions in this quiz (6)

1. Solve the inequality: $$3x - 4$$ > $$11$$

   • $$(5,\infty]$$
   • $$(5,\infty)$$
   • $$[5,\infty)$$
   • $$[5,\infty]$$

2. The solution to the inequality $$6-\frac{x}{3}\leq4$$ is:

   • $$x\geq6$$
   • $$x\leq6$$
   • $$x$$ < $$6$$
   • $$x$$ > $$6$$

3. Tom and Jerry want to ride a go-kart that has a maximum weight limit of 120 pounds. If Tom weighs more than 50 pounds, what is the greatest possible weight Jerry can have to safely ride with Tom?

   • 65
   • 69.95
   • 67
   • 70.1

4. Tickets to a concert cost 4 dollars for children and 8 dollars for adults. If 300 tickets were sold and total ticket sales were 1,680 dollars, how many adult tickets were sold?

   • 120
   • 1680
   • 180
   • 300

5. A phone battery starts with enough charge to last 50 minutes. For every hour it is charged, it gains an extra 30 minutes of usage, up to a maximum of no more than 200 minutes total. Which inequality would model the potential battery life of the phone, given that it is charged for $$x$$ hours?

   • $$200 + 50x \leq 30$$
   • $$50 + 30x$$ > $$200$$
   • $$50 + 30x \leq 200$$
   • $$200 + 30x$$ < $$50$$

6. Maya has a total of $$40$$ to spend at the fair. Each ticket for a ride costs $$4$$, and each snack costs $$3$$. If Maya buys $$r$$ ride tickets and $$s$$ snacks, which inequality represents the number of total ride tickets and snacks she can buy, assuming no tax and nothing else to buy?

   • $$4r + 3s$$ > $$40$$
   • $$4r + 3s\ge 40$$
   • $$4r + 3s \le 40$$
   • $$4r + 3s$$ < $$40$$