Linear equations 2 — Heart of Algebra

Questions in this quiz (6)

1. On the first day of a summer program, there are $$75$$ campers. Each day after the first day, $$12$$ new campers join the program. If no campers leave the program, how many total campers will there be $$6$$ days after the first day of the program?

   • $$75$$
   • $$132$$
   • $$147$$
   • $$195$$

2. Sean rents kayaks for a weekend trip. The rental shop charges $$14$$ dollars per day for each kayak plus a one-time equipment fee of $$6$$ dollars. If Sean rents a kayak for $$d$$ days, which equation represents the total cost $$C$$, in dollars?

   • $$C = 14(d + 6)$$
   • $$C = 6d + 14$$
   • $$C=14d+6$$
   • $$C = 20d$$

3. If $$3x-4=11$$, what is the value of $$9x+2$$?

   • $$5$$
   • $$45$$
   • $$11$$
   • $$47$$

4. A smoothie shop charges a total cost $$S$$, in dollars, using the equation$$S = 3.25m + 6.50f$$In this equation, $$m$$ represents the number of medium smoothies purchased and $$f$$ represents the number of fruit bowls purchased. The price, in dollars, of each medium smoothie is the same, and the price, in dollars, of each fruit bowl is the same. Which of the following is the best interpretation of the number $$6.50$$ in this context?

   • The price, in dollars, of one medium smoothie.
   • The number of fruit bowls purchased.
   • The price, in dollars, of one fruit bowl.
   • The total number of items purchased

5. A triangle has a total perimeter of $$95$$ centimeters. It is isosceles, and each of the two congruent sides measures $$31$$ centimeters. What is the length, in centimeters, of the third side?

   • $$12$$
   • $$15$$
   • $$33$$
   • $$48$$

6. A food stand buys napkins for $$0.03$$ each and cups for $$0.55$$ each. The total cost of $$x$$ napkins and $$y$$ cups is $$412.70$$. Which equation represents this situation?

   • $$0.55x+0.03y=412.70$$
   • $$0.03x+0.55y=412.70$$
   • $$0.03x-0.55y=412.70$$
   • $$0.55x-0.03y=412.70$$