91Ó°ÊÓ

Classify each equation as a conditional equation, an identity, or a contradiction and then state the solution. $$22(3 m-4)=8(2 m+9)$$

Rhonda has $$\$ 1.90$$ in nickels and dimes. The number of dimes is one less than twice the number of nickels. Find the number of nickels, \(n\), by solving the equation \(0.05 n+0.10(2 n-1)=1.90\).

Explain why you should simplify both sides of an equation as much as possible before collecting the variable terms to one side and the constant terms to the other side.

Solve each equation with fraction coefficients. $$\frac{1}{2}(x+4)=\frac{3}{4}$$

Solve each equation with fraction coefficients. $$\frac{4 m+2}{6}=\frac{m}{3}$$

Solve each equation with decimal coefficients. $$0.4 x+0.6=0.5 x-1.2$$

Solve each equation with decimal coefficients. $$0.05(q-8)+0.25 q=4.10$$

If an equation has fractions only on one side, why do you have to multiply both sides of the equation by the LCD?

Solve. Socorro drove for \(4 \frac{5}{6}\) hours at 60 miles per hour. How much distance did she travel?

Use the formula \(d=r t\). Solve for \(r\) (a) when \(d=204\) and \(t=3\) (b) in general