Equations — Quiz 1

Questions in this quiz (12)

1. The length $$L$$, in meters, of a metal rod is given by the equation $$L = \frac{3}{5} P + 0.10$$, where $$P$$ is the pulling force applied in newtons. Approximately what force, in newtons, must be applied for the rod's length to be $$0.40$$ meters?

   • $$2.5$$
   • $$0.30$$
   • $$0.20$$
   • $$0.10$$

2. If $$5^{x+2}=5^{-x+10}$$ what is the value of $$x$$?

   • $$8$$
   • $$0$$
   • $$4$$
   • $$-8$$

3. If $$2^{x+3}=z$$ what is the value of $$2^x$$ in terms of $$z$$?

   • $$\frac{z}{2}$$
   • $$\frac{z}{8}$$
   • $$\frac{z}{4}$$
   • $$-\frac{z}{4}$$

4. If $$3x-y=6$$, simplify the following expression: $$\frac{9^x}{3^y}$$?

   • $$3^{-x}$$
   • $$3^{2x+6}$$
   • $$3^{-2x+6}$$
   • $$3^{-x+6}$$

5. If $$5\sqrt{2}=\sqrt{2x}$$ what is the value of $$x$$?

   • 25
   • 5
   • 10
   • 15

6. If $$b^{\frac{1}{3}}=2$$ what is the value of $$b$$?

   • 6
   • 12
   • 4
   • 8

7. If $$9^{x+1}=27^{2x-1}$$ what is the value of $$x$$?

   • $$\frac{2}{5}$$
   • $$\frac{5}{4}$$
   • $$\frac{4}{5}$$
   • $$\frac{3}{5}$$

8. If $$3^{x+2}-3^x=m(3^x)$$ what is the value of $$m$$?

   • 4
   • 8
   • 6
   • 10

9. If $$4\sqrt{x}+1=5\sqrt{3}$$ and $$x$$ > $$0$$, what is the value of $$x$$?

   • $$\frac{76-10\sqrt{3}}{16}$$
   • $$\frac{\sqrt{3}}{16}$$
   • $$\frac{5\sqrt{3}}{8}$$
   • $$\frac{10\sqrt{76}}{16}$$

10. If the sum of three consecutive even integers is 198, what is the value of the smallest integer?

    • 64
    • 35
    • 22
    • 38

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

    • $$-\frac{2}{7}$$
    • $$-\frac{8}{7}$$
    • $$\frac{12}{5}$$
    • $$-\frac{24}{7}$$

12. Maria wants to buy a backpack that costs 36.40 dollars. If she saves 1.30 dollars per day, how many days will it take her to save enough money to buy the backpack?

    • 40
    • 30
    • 25
    • 28