Mini Exam 1 — Timed Mini Exams

Questions in this quiz (10)

1. Solve for $$x$$:$$\frac{3(x-4)}{2}-\frac{5x+1}{4}=7$$

   • $$24$$
   • $$46$$
   • $$48$$
   • $$53$$

2. A store sells notebooks at a constant rate. The store charges $$18.00$$ for $$6$$ notebooks, including a one-time coupon discount of $$3.00$$ applied to the total purchase. At the same notebook price and with the same type of coupon discount, how much would $$10$$ notebooks cost if the coupon discount is still $$3.00$$?

   • $$27$$
   • $$30$$
   • $$32$$
   • $$36$$

3. The circumference of a circle is $$30\pi$$. What is the radius of the circle?

   • $$5\pi$$
   • $$15$$
   • $$6\pi$$
   • $$15\pi$$

4. $$x^2-11x+24=0$$What is the greatest solution of the equation above?

   • $$-6$$
   • $$-4$$
   • $$-2$$
   • $$8$$

5. The mean of five numbers is $$14$$. The numbers are $$6,10,14,18,x$$. If the median of the five numbers is also $$14$$, what is the value of $$x$$?

   • $$20$$
   • $$22$$
   • $$30$$
   • $$36$$

6. A bacteria culture triples every $$4$$ hours. If the current population is $$300$$, what will the population be in $$8$$ hours?

   • $$900$$
   • $$1800$$
   • $$2700$$
   • $$3000$$

7. Find the slope of the line through $$(-2,5)$$ and $$(4,-7)$$.

   • $$-3$$
   • $$-2$$
   • $$2$$
   • $$3$$

8. Solve the system:$$3x-y=5$$$$x+y=7$$

   • $$(1,6)$$
   • $$(2,5)$$
   • $$(3,4)$$
   • $$(4,3)$$

9. A gym charges a one-time enrollment fee of $$60$$ and $$25$$ per month. After $$6$$ months, the gym increases the monthly fee by $$5$$ for all future months, but the enrollment fee stays the same. Which function gives the total cost $$C(m)$$, in dollars, after $$m$$ months?

   • $$C(m)=60+25m+5(6-m)$$ for $$m\lt6$$, and $$C(m)=60+25m$$ for $$m\ge6$$
   • $$C(m)=60+25m+5(m-6)$$ for $$m\gt6$$, and $$C(m)=60+25m$$ for $$m\le6$$
   • $$C(m)=60+25m+5$$ for $$m\lt6$$, and $$C(m)=60+25m$$ for $$m\ge6$$
   • $$C(m)=60+25(m-6)+30m$$

10. Solve the inequality:$$\frac{3(2x-5)}{4}-\frac{x+1}{2}\ge1$$

    • $$x\le\frac{8}{3}$$
    • $$x\ge\frac{21}{4}$$
    • $$x\ge2$$
    • $$x\ge\frac{8}{3}$$