Mini Exam 1 — Timed Mini Exams

Questions in this quiz (10)

1. At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won $$G$$ green tokens and $$R$$ red tokens worth a total of $$380$$ points. The equation $$5G+45R=380$$ represents this situation. How many more points is a red token worth than a green token?

   • 40

2. The graph of the function $$f$$, where $$y=f(x)$$, gives the total cost $$y$$, in dollars, for a certain video game system and $$x$$ games. What is the best interpretation of the slope of the graph in this context?

   • Each game costs $$\$25$$.
   • The video game system costs $$\$100$$.
   • The video game system costs $$\$25$$.
   • Each game costs $$\$100$$.

3. $$24x+y=48$$ $$6x+y=72$$The solution to the system of equations is $$(x,y)$$. What is the value of $$y$$?

   • 80

4. The graph of $$7x+2y=-31$$ in the $$xy$$-plane has an $$x$$-intercept at $$(a,0)$$ and a $$y$$-intercept at $$(0,b)$$, where $$a$$ and $$b$$ are constants. What is the value of $$\frac ba$$?

   • $$-\frac72$$
   • $$-\frac27$$
   • $$\frac27$$
   • $$\frac72$$

5. The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. If a triangle has side lengths of $$6$$ and $$12$$, which inequality represents the possible lengths, $$x$$, of the third side of the triangle?

   • $$x$$ < $$18$$
   • $$x$$ > $$18$$
   • $$6$$ < $$x$$ < $$18$$
   • $$x$$ < $$6$$ or $$x$$ > $$18$$

6. Hana deposited a fixed amount into her bank account each month. The function $$f(t)=100+25t$$ gives the amount, in dollars, in Hana's bank account after $$t$$ monthly deposits. What is the best interpretation of $$25$$ in this context?

   • With each monthly deposit, the amount in Hana's bank account increased by $$\$25$$.
   • Before Hana made any monthly deposits, the amount in her bank account was $$\$25$$.
   • After $$1$$ monthly deposit, the amount in Hana's bank account was $$\$25$$.
   • Hana made a total of $$25$$ monthly deposits.

7. For line $$h$$, the table shows three values of $$x$$ and their corresponding values of $$y$$. Line $$k$$ is the result of translating line $$h$$ down $$5$$ units in the $$xy$$-plane. What is the $$x$$-intercept of line $$k$$?

   • $$\left(-\frac{26}{3},0\right)$$
   • $$\left(-\frac92,0\right)$$
   • $$\left(-\frac{11}{3},0\right)$$
   • $$\left(-\frac{17}{6},0\right)$$

8. What value of $$x$$ is the solution to the equation $$\frac14(x+5)-\frac13(x+5)=-7$$?

   • $$-12$$
   • $$-5$$
   • $$79$$
   • $$204$$

9. A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than $$4,600$$ pounds. What is the maximum number of boxes this truck can tow in a trailer with a weight of $$500$$ pounds if each box weighs $$120$$ pounds?

   • $$34$$
   • $$35$$
   • $$38$$
   • $$39$$

10. A small business owner budgets $$\$2,200$$ to purchase candles. The owner must purchase a minimum of $$200$$ candles to maintain the discounted pricing. If the owner pays $$\$4.90$$ per candle to purchase small candles and $$\$11.60$$ per candle to purchase large candles, what is the maximum number of large candles the owner can purchase to stay within the budget and maintain the discounted pricing?

    • 182