Patterns & Functions 3 — Basic Algebra

Questions in this quiz (8)

1. Maria earns a base salary of $$\$500$$ per month plus a $$12\%$$ commission on her monthly sales. If she wants to earn at least $$\$2,900$$ in one month, which of the following represents the total sales $$s$$ she must make?

   • $$s\ge\$20,000$$
   • $$s\le\$20,000$$
   • $$s\ge\$24,000$$
   • $$s\le\$24,000$$

2. Find the domain of: $$f(t)=|4t-9|$$

   • $$\text{All real numbers}$$
   • $$t\ge0$$
   • $$t\ne9$$
   • $$t$$ > $$4$$

3. Find the domain of: $$f(x)=\frac{x+5}{x^2-4x+4}$$

   • $$\text{All real numbers}$$
   • $$x\ne2$$
   • $$x\ne-2$$
   • $$x$$ > $$2$$

4. Jordan reads 3 chapters each week for a book club. Which function represents the total number of chapters read after $$w$$ weeks?

   • $$f(w)=3w$$
   • $$f(w)=w+3$$
   • $$f(w)=3+w^2$$
   • $$3f(w)=w$$

5. A delivery driver travels 80 miles before lunch. After lunch, the driver travels 55 miles per hour for each hour driven. The driver never drives more than 7 hours after lunch. If $$h$$ is the number of hours driven after lunch, which of the following gives the correct domain and range of the function describing the total distance traveled?

   • $$\text{Domain: }0\le h\le7$$$$\text{Range: }80\le f(h)\le465$$
   • $$\text{Domain: }80\le h\le465$$$$\text{Range: }0\le f(h)\le7$$
   • $$\text{Domain: }h\ge0$$$$\text{Range: }f(h)\le80$$
   • $$\text{Domain: }0\le h\le7$$$$\text{Range: }55\le f(h)\le80$$

6. A gym charges a $$\$15$$ monthly membership fee plus $$\$2$$ for each fitness class attended after the first 5 classes. The total monthly cost is modeled by: $$C=15+2(n-5),$$ where $$n$$ is the total number of classes attended. If Taylor attends 14 classes this month, how much will the monthly fee be?

   • $$\$31$$
   • $$\$33$$
   • $$\$43$$
   • $$\$28$$

7. Lena has only $$\$20$$ bills and $$\$50$$ bills in her cash box. She has 18 bills worth a total of $$\$660$$. Let $$x$$ represent the number of $$\$20$$ bills. Which equation can be used to find the number of $$\$20$$ bills?

   • $$20x+50x=660$$
   • $$20x+50(18-x)=660$$
   • $$20(18-x)+50x=660$$
   • $$20x+50x+18=660$$

8. A runner's average speed $$S$$, in miles per hour, is modeled by: $$S=\frac{d}{t},$$ where $$d$$ is the distance traveled in miles and $$t$$ is the time in hours. What is the runner's average speed if the runner travels 15 miles in 2.5 hours?

   • $$5\text{ mph}$$
   • $$6\text{ mph}$$
   • $$7.5\text{ mph}$$
   • $$8\text{ mph}$$