Solving Equations

What is the value of x in the equation  $\frac{x-2}{3}+\frac{1}{6}=\frac{5}{6}$ ? 

• 4

• 6

• 8

• 11

Which value of x satisfies the equation  $\frac{7}{3}\left(x+\frac{9}{28}\right)=20$  

• 8.89

• 8.25

• 44.92

• 19.25

An equation is given below: $4(x−7)=0.3(x+2)+2.11$  

The solution to the equation is

• 8.7

• 3

• -3

• 8.3

Which value of x satisfies the equation $\frac{5}{6}\left(\frac{3}{8}-x\right)=16$ 

• −19.575

• −18.825

• −16.3125

• −15.6875

The value of x which makes
 $\frac{2}{3}\left(\frac{1}{4}x-2\right)=\frac{1}{5}\left(\frac{4}{3}x-1\right)$  true?

• −10

• −2

•  $-9.\overline{09}$  

•  $-11.\overline{3}$  

The solution to  $−2(1−4x)=3x+8$   is

•  $\frac{6}{11}$  

•  $2$  

•  $-\frac{10}{7}$  

•  $-2$  

 What is the solution to the equation $\frac{3}{5}\left(x+\frac{4}{3}\right)=1.04$ 

•  $3.0\overline{6}$  

•  $0.4$  

•  $-0.4\overline{8}$  

•  $-0.709\overline{3}$  

 The value of x that satisfies the equation  $\frac{4}{3}=\frac{x+10}{15}$ is

•  $-$ 6

• 5

• 10

• 30

The formula of the volume of a cone is  $V\ =\ \frac{1}{3}\pi r^2h$ .  The radius, r, of the cone may be expressed as

•  $\sqrt{\frac{3V}{\pi h}}$  

•  $\sqrt{\frac{V}{3\pi h}}$  

•  $3\sqrt{\frac{V}{\pi h}}$  

•  $\frac{1}{3}\sqrt{\frac{V}{\pi h}}$  

Boyle's Law involves the pressure and volume of gas in a container. It can be represented by the formula  $P_1V_1=P_2V_2$   When the formula is solved for  $P_2$  , the result is

•  $P_1V_1V_2$  

•  $\frac{V_2}{P_1V_1}$  

•  $\frac{P_1V_1}{V_2}$  

•  $\frac{P_1V_2}{V_1}$