Equations — Quiz 3

Questions in this quiz (10)

1. For what range of $$b$$-values does $$|3y-7|=b$$ have no solution?

   • $$b$$ > $$0$$
   • $$b$$ < $$0$$
   • $$b\neq0$$
   • $$b=\frac{7}{3}$$

2. What is the solution set of $$|x|=x-12$$?

   • 12
   • 0
   • -12
   • No solution

3. If $$\sqrt{9+\sqrt{y}}=6$$, then what does $$y$$ equal?

   • -9
   • 9
   • 27
   • 729

4. If you multiply a number by 5 and then subtract 10, the result is the same as if you first subtract 2 and then multiply by 4. What is the result if you add 8 to the number and then divide by 3?

   • $$\frac{4}{3}$$
   • $$\frac{5}{3}$$
   • $$\frac{7}{3}$$
   • $$\frac{10}{3}$$

5. The larger of two numbers is $$7$$ more than twice the smaller number. The sum of $$3$$ times the larger and $$4$$ times the smaller number is $$76$$. If $$x$$ is the smaller number, which equation below determines the correct value of $$x$$?

   • $$3(2x + 7) + 4x = 76$$
   • $$2(2x + 7) - 4x = 76$$
   • $$2(3x + 7) + 4x = 76$$
   • $$2(2x + 7) + 4x = 76$$

6. If $$\frac{3x^4}{(3^2)^3}=\frac{1}{9}$$ then $$x=?$$

   • $$4^{3/4}$$
   • $$3^{3/4}$$
   • $$3^{4/3}$$
   • $$4^{4/3}$$

7. Jordan works as a cashier at Market Town. On a regular day, he earns $$70$$ dollars plus $$15%$$ of his daily sales, $$S$$. On a holiday, he is offered a $$50%$$ bonus on his total pay for the day. In terms of $$S$$, which of the following expressions gives Jordan’s pay, in dollars, for working on that holiday?

   • $$105+0.225S$$
   • $$70+0.3S$$
   • $$35+0.075S$$
   • $$140+0.2S$$

8. A group of 10 coworkers decides to share the total cost of a team retreat equally. At the last minute, 3 coworkers drop out. The remaining coworkers must each pay $75 more. What is the total cost of the retreat?

   • $1200
   • $1500
   • $1050
   • $1750

9. A city charges a fine of $$100$$ dollars for a driver's first parking violation and a fine of $$150$$ dollars for each parking violation thereafter. Which of the following equations represents the total amount in fines, $$d$$ dollars, a driver must pay for $$n$$ parking violations?

   • $$d = 100n - 50$$
   • $$d = 150n - 50$$
   • $$d = 100 + 150(n-1)$$
   • $$d = 50 + 100(n-1)$$

10. If $$y$$ is a real number such that $$y^3=512$$, then what is the value of $$y^2+\sqrt{y}$$?

    • $$2\sqrt{2}$$
    • $$64+2\sqrt{2}$$
    • $$8+\sqrt{2}$$
    • $$8+2\sqrt{2}$$