Mini Exam 56 — Timed Mini Exams

Questions in this quiz (10)

1. Which of the following represents the equation of the line with an $$x$$-intercept of $$-5$$ and a $$y$$-intercept of $$3$$?

   • $$y-3=2(x+5)$$
   • $$y=-5x+3$$
   • $$2(y+3)=2x+10$$
   • $$5(y+2)=3x+25$$

2. A math professor presented a scatterplot that correlates the number of minutes a student spent studying and the results of that student on the exam. What is the meaning of the slope?

   • The rate of change of time spent studying based on a student's exam results
   • The average grade on the exam
   • The rate of change of student's exam results based on time spent studying
   • The slope has no meaning

3. $$kx+3y=8$$ $$(k-2)x+(k-2)y=2$$In the system of equations above, $$k$$ is a constant. If the system has no solution, what is the value of $$k$$?

   • $$-3$$
   • $$1$$
   • $$3$$
   • $$5$$

4. Amanda's diet plan restricts her from consuming more than $$30$$ grams of sugar per day. She eats chocolates, each of which contains $$3$$ grams of sugar, and drinks cups of juice, each of which has $$5$$ grams of sugar. Which inequality expresses all possible numbers of chocolates $$c$$ and cups of juice $$j$$ Amanda can have in one day without breaking her diet plan?

   • $$\frac3c+\frac5j$$ > $$30$$
   • $$3c+5j\le30$$
   • $$3c+5j$$ > $$30$$
   • $$3c+5j$$ < $$30$$

5. The quadratic equation is given by $$y=x^2-9x+8.$$ Which of the following is an equivalent form of this equation that displays the $$x$$-intercepts as constants or coefficients?

   • $$y=(x-8)(x-1)$$
   • $$y=x(x-9)+8$$
   • $$y=(x-3)^2+5$$
   • $$y-8=x^2-9x$$

6. The function $$f$$ is defined by $$f(x)=x^2+2x-3$$. The graph of $$y=f(x-h)$$ is shown in the $$xy$$-plane. What is the value of $$h$$?

   • 3

7. If the graph of $$4x+5y=10$$ is reflected across the $$y$$-axis, which equation represents the reflected graph?

   • $$4x+5y=10$$
   • $$-4x-5y=-10$$
   • $$4x-5y=10$$
   • $$-4x+5y=10$$

8. Alex is paid time and a half for all hours worked in excess of $$45$$ hours a week. This week he averaged $$9.5$$ hours a day for a $$6$$-day week. By approximately what percent are his regular wages for the week increased?

   • $$9\%$$
   • $$11\%$$
   • $$15\%$$
   • $$19\%$$

9. In which building is the standard deviation of the number of bedrooms greater?

   • Building 1
   • Building 2
   • They are the same
   • Cannot be determined

10. The amount of penicillin, in milligrams, in blood $$t$$ minutes after injection is given by $$A(t)=100(0.98)^t.$$ Which expression represents the amount of penicillin in blood $$x$$ hours after the injection?

    • $$100(0.98)^{60x}$$
    • $$100(0.98)^{\frac{x}{60}}$$
    • $$100(0.98)^{12x}$$
    • $$100(0.98)^{\frac{x}{12}}$$