Patterns & Functions 2 — Basic Algebra

Questions in this quiz (10)

1. Each term in the second row is determined by the function: $$y=2x+7$$What number belongs in the shaded box?

   • 23

2. $$5,\ 9,\ 13,\ 17,\ldots$$What is the seventh term in the sequence above?

   • $$25$$
   • $$29$$
   • $$33$$
   • $$37$$

3. The price per notebook depends on the number purchased. The table shows the price per notebook.Which function was used to determine the prices shown in the table?

   • $$c=4.80-0.20n$$
   • $$c=4.80-0.20(n-1)$$
   • $$c=n(4.80-0.20)$$
   • $$c=4.80n-0.20n$$

4. Which of the following sequences of values for $$y$$ could be created using the function $$y=5x+2?$$

   • $$2,\ 7,\ 12,\ 17,\ 22,\ldots$$
   • $$3,\ 8,\ 13,\ 18,\ 23,\ldots$$
   • $$2,\ 6,\ 11,\ 17,\ 24,\ldots$$
   • $$2,\ -3,\ -8,\ -13,\ -18,\ldots$$

5. A landscaping company charges $$\$180$$ per day for the first 5 days and $$\$250$$ per day after that. The total cost for projects lasting more than 5 days is modeled by $$C=180d+70(d-5),$$ where $$C$$ is the total cost and $$d$$ is the number of days. If the project lasts 8 days, what is the total cost?

   • $$\$1,440$$
   • $$\$1,650$$
   • $$\$1,700$$
   • $$\$1,740$$

6. A company earns $$\$82,000$$ from a contract and spends $$\$4,800$$ per day on expenses. Profit is modeled by: $$P=82,000-4,800d,$$ where $$d$$ is the number of days. If the project takes 12 days to complete, what is the company's profit?

   • $$\$24,400$$
   • $$\$28,600$$
   • $$\$39,200$$
   • $$\$57,600$$

7. Marcus is comparing three part-time jobs. Weekly pay $$P$$ depends on the number of hours worked, $$h$$.Job 1: $$P=12h$$Job 2: $$P=60+10h$$Job 3: $$P=450\left(\frac{h}{45}\right)$$If Marcus works 25 hours in one week, how much more will he earn at Job 2 than at Job 1?

   • $$\$10$$
   • $$\$25$$
   • $$\$60$$
   • $$\$75$$

8. What is the domain of: $$f(x)=\frac{2}{x^2-9}?$$

   • $$\text{All real numbers}$$
   • $$x\ne-3,\ 3$$
   • $$x$$ > $$3$$
   • $$x\ge-3$$

9. What is the range of: $$f(x)=x^2+4?$$

   • $$y\ge4$$
   • $$y$$ > $$4$$
   • $$y\le4$$
   • $$\text{All real numbers}$$

10. A bakery makes 30 muffins for every bag of flour it uses. If the bakery made 270 muffins today, how many bags of flour were used?

    • 9