Mini Exam 4 — Timed Mini Exams

Questions in this quiz (10)

1. Which of the following is an equivalent form of the expression $$12y+18ay$$?

   • $$30ay^2$$
   • $$6(2+3a)y$$
   • $$(12+18a)y$$
   • $$6y(a+2)$$

2. The formula $$V=IR$$ is used to calculate the voltage across a resistor, where $$I$$ represents the current and $$R$$ represents the resistance. Based on this formula, what is the resistance $$R$$ in terms of $$V$$ and $$I$$?

   • $$R=\frac{V}{I}$$
   • $$R=VI$$
   • $$R=\frac{I}{V}$$
   • $$R=V-I$$

3. Which of the following ordered pairs $$(x,y)$$ satisfies both equations $$y=x^2+3x-3$$ and $$x=y-5$$?

   • $$(0,-3)$$
   • $$(1,-2)$$
   • $$(2,7)$$
   • $$(3,11)$$

4. Samantha wants to buy notebooks that cost $$4.25$$ dollars each and binders that cost $$6.75$$ dollars each. A $$10\%$$ sales tax will be applied to the entire purchase. If Samantha buys $$3$$ notebooks, which equation relates the total cost in dollars, $$y$$?

   • $$0.90(12.75+6.75b)=y$$
   • $$1.10(12.75+6.75b)=y$$
   • $$12.75+6.75b=1.10y$$
   • $$12.75+6.75b=0.90y$$

5. The equation $$y=50+12x$$ models the relationship between the height $$y$$, in centimeters, of a sunflower plant and the number of weeks $$x$$ after it was planted. If the equation is graphed in the $$xy$$-plane, what is indicated by the $$y$$-intercept of the graph?

   • The age, in weeks, of a typical sunflower when it is planted
   • The height, in centimeters, of a typical sunflower when it is planted
   • The number of weeks it takes a typical sunflower to start growing
   • The number of centimeters a typical sunflower grows each week

6. In the figure above, angle $$ADC$$ and angle $$CAB$$ each measure $$30^{\circ}$$. Which of the following has the same ratio as $$\frac{AD}{AB}$$?

   • $$\frac{AC}{BC}$$
   • $$\frac{AB}{BD}$$
   • $$\frac{CD}{AC}$$
   • $$\frac{BC}{AB}$$

7. A tent design uses $$15$$ separate metal poles. Each pole must be at least $$120$$ centimeters and no more than $$135$$ centimeters long. What inequality represents all possible values of the total length of poles, $$x$$, in centimeters, needed for the tent?

   • $$120\le x\le135$$
   • $$1800\le x\le2025$$
   • $$1850\le x\le2000$$
   • $$1800\le x\le1950$$

8. $$(x^3y^2)^{\frac{1}{4}}(x^3y^2)^{\frac{1}{2}}=(x^b)(y^a)$$If the equation above, where $$a$$ and $$b$$ are constants, is true for all positive values of $$x$$ and $$y$$, what is the value of $$a+b$$?

   • $$\frac{3}{2}$$
   • $$\frac{15}{4}$$
   • $$12$$
   • $$\frac{9}{4}$$

9. If the equation $$y=(x-4)(x+8)$$ is graphed in the $$xy$$-plane, what is the $$x$$-coordinate of the parabola's vertex?

   • $$-8$$
   • $$-2$$
   • $$2$$
   • $$4$$

10. The scatterplot above shows the number of hours studied and the test scores of 20 students. The line of best fit for the data is also shown. Which of the following statements about the relationship between the number of hours studied and the test score is true?

    • As the number of hours studied increases, the test score decreases.
    • As the number of hours studied increases, the test score increases.
    • As the number of hours studied increases, the test score remains constant.
    • As the number of hours studied decreases, the test score increases.