Mini Exam 23 — Timed Mini Exams

Questions in this quiz (10)

1. The system$$2x+ky=10$$$$4x-2y=12$$has exactly one solution. Which value of $$k$$ could make this true?

   • $$k\neq -1$$
   • $$k\ge 1$$
   • $$k$$>$$1$$
   • $$k\le -1$$

2. A blueprint uses a scale of $$1$$ inch : $$6$$ feet. If a wall on the blueprint measures $$3.5$$ inches, what is the actual length of the wall?

   • $$\frac{7}{20}$$
   • $$7$$
   • $$21$$
   • $$27$$

3. A job pays $$15$$ dollars per hour for the first $$8$$ hours and $$22$$ dollars per hour for each hour above $$8$$. If Sam earned more than $$200$$ dollars in one day, which inequality represents the possible hours he worked?(Let $$h$$ be the number of hours worked.)

   • $$15h$$>$$200$$
   • $$(15)·(8)+22(h-8)$$>$$200$$
   • $$15h+22$$>$$200$$
   • $$22h+15$$>$$200$$

4. $$\frac{6}{x-2}=\frac{x}{3}$$Which of the following is a valid solution?

   • $$-6$$ or $$3$$
   • $$-2$$ or $$2$$
   • $$6$$ or $$-3$$
   • $$-3$$ or $$3$$

5. A function $$f(x)$$ is defined as:$$f(x) = 2x + 1$$ if $$x$$ < $$3$$$$f(x) =x^2 − 5$$ if $$x$$ ≥ $$3$$ What is the value of $$f(f(2))$$?

   • $$-1$$
   • $$2$$
   • $$5$$
   • $$20$$

6. A price is increased by $$20%$$ and then decreased by $$25%$$. What is the net percent change?

   • $$-10\%$$
   • $$-5\%$$
   • $$+5\%$$
   • $$+10\%$$

7. $$g(x)=2x+180$$The function $$g$$ represents the perimeter, in centimeters, of a rectangle with length $$x$$ centimeters and a fixed width. What is the width, in centimeters, of the rectangle?

   • $$90$$
   • $$2$$
   • $$180$$
   • $$x$$

8. In the $$xy$$-plane, line $$m$$ is defined by $$x-y=0.$$ Line $$n$$ is perpendicular to line $$m$$, and the $$y$$-intercept of line $$n$$ is $$(0,-4)$$. Which of the following is an equation of line $$n$$?

   • $$x+y=-4$$
   • $$x+y=4$$
   • $$x-y=-4$$
   • $$x-y=4$$

9. A two-digit number has a tens digit $$t$$ and a units digit $$u$$. The digits satisfy the conditions $$t-u=3$$ and $$2t+u=21$$. What is the two-digit number?

   • $$58$$
   • $$12$$
   • $$21$$
   • $$85$$

10. A scatterplot shows the number of hours students studied for a math test versus their test scores. The points show an overall upward trend, but there is noticeable variability, and several students who studied fewer hours scored higher than some students who studied more hours. A line of best fit slopes upward. Which conclusion is most reasonable based on the data?

    • Studying more hours causes all students to earn higher test scores.
    • There is a positive association between hours studied and test scores, though individual results may vary.
    • Students who study fewer hours tend to outperform those who study more hours.
    • The relationship between hours studied and test scores is perfectly linear.