Equations+and+Inequalities-Target+B-Solving+for+What?-Practice+Problems

=Target B: Solve Literal Equations=


 * Solve the equations below for y.**

math \textbf{1)} \ \ 2x+5y=10\\ math

math \textbf{2)} \ \ \text{-}3x+9y=12\\ math

math \textbf{3)} \ \ \dfrac{1}{2}x-y=5\\ math

math \textbf{4)} \ \ 3x+4y-7=0\\ math


 * Given the students work below, identify the mistake and correct the work.**

math \begin{align*} \textbf{5)} \ \ 2x+3y&=12\\ 3y&=2x+12\\ y&=\dfrac{2}{3}x+4\\ \end{align*} math

math \begin{align*} \textbf{6)} \ \ 4x+2y&=5\\ 2y&=\text{-}4x+5\\ y&=\text{-}2x+5\\ \end{align*} math

math P=2l+2w math
 * 7) Below is the perimeter equation of a rectangle where P is the perimeter, l is the length and w is the width.**
 * Solve the following equation for the width.**

math \rho = \dfrac{m}{V} math
 * 8) The density, or more precisely, the volumetric mass density, of a substance is its mass per unit volume. The symbol most often used for density is ρ (the lower case Greek letter rho). Mathematically, density is defined as mass divided by volume:**
 * Solve the equation for V.**

math F=m \cdot a math
 * 9) The vector sum of the forces F on an object is equal to the mass m of that object multiplied by the acceleration vector a of the object.**
 * Solve the equation for a.**

math Ax+By=C math
 * 10) Below is the standard form of a linear equation.**
 * Solve the equation for A.**

math y-y_1=m(x-x_1) math
 * 11) Below is the point-slope form for a linear equation.**
 * Solve the equation for x.**

math y=mx+b math
 * 12) Below is the slope-intercept form for a linear equation.**
 * Solve the equation for x.**

math A=\dfrac{1}{2}(b_1+b_2)h math
 * 13) Below is the area equation for a trapezoid. Where the area is A, the b's are the lengths of the bases and h is the height.**
 * Solve the equation for one of the bases.**

math \dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2} math
 * 14) Below is the following chemistry gas law where //P// is pressure, //T// is temperature and //V// is volume.**
 * Solve for //V//** 2 **.**

math M_AV_A=M_BV_B math
 * 15) Below is the following acid where //M// is the molarity and //V// is volume.**
 * Solve for //V//** B **.**

math PV=nRT math
 * 16) Below is an equation for the Ideal Gas Law where //P// is the pressure, //V// is the volume, n is the number of moles, //R// is a constant and //T// is the temperature.**
 * Solve for //R//****.**

media type="custom" key="26336554"
 * 17) Below is the area equation for a kite and the work to solve for one of the d values. Drag the red circles onto the blue circles and see if you can identify the correct justifications for each step.**


 * 18) Below is a formula that links the two measures of temperature Fahrenheit (//F//) and Celsius(//C//):**

math \dfrac{9}{5}C=F-32 math


 * Why would you need to solve the equation for either //C// or //F//? Use solving techniques and a real world example to defend your answer.**