Heart of Algebra: Linear Equations — Quiz 5

Questions in this quiz (5)

1. If $$\frac{x-3}{5}=\frac{x-3}{10}$$, the value of $$x-3$$ is between which of the following pairs of values?

   • $$−6$$ and $$−2$$
   • $$−2$$ and $$2$$
   • $$2$$ and $$6$$
   • $$6$$ and $$10$$

2. A container has $$25$$ liters of liquid. The amount decreases by $$2$$ liters every $$3$$ hours. If $$13$$ liters remain, for how many hours has the container been losing liquid?

   • $$12$$
   • $$15$$
   • $$18$$
   • $$21$$

3. Maria drives an average of $$120$$ miles each week. Her car travels $$30$$ miles per gallon of gasoline. She wants to reduce her weekly gasoline cost by $$6$$. If gasoline costs $$3$$ per gallon, which equation can Maria use to determine how many fewer miles, $$m$$, she should drive each week?

   • $$\frac{30}{3}m=6$$
   • $$\frac{3}{30}m=6$$
   • $$\frac{30}{3}m=120$$
   • $$\frac{3}{30}m=120$$

4. A plant grew at an average rate of $$2.5$$ centimeters per day for $$8$$ days. If the height of the plant at the end of the $$8$$ days was $$45$$ centimeters, what was its height, in centimeters, at the beginning?

   • 25

5. The cost to rent a bike is $$40$$ dollars for the first $$3$$ hours and $$10$$ dollars per hour for each additional hour after that. If the total cost to rent the bike for $$t$$ hours, where $$t$$>$$3$$, is $$100$$, which equation represents this situation?

   • $$40(t-3)+10t=100$$
   • $$40+10(t-3)=100$$
   • $$40+10t=100$$
   • $$10(t-3)=100$$