1. Equations & Inequalities

Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set. -0.6(x-5)+0.8(x-6) = 0.2x - 1.8

Solve each problem. Which one or more of the following cannot be a correct equation to solve a geometry problem, if x represents the length of a rectangle? (Hint: Solve each equation and consider the solution.) A. 2x+2(x- 1) = 14 B. -2x+7(5-x) = 52 C. 5(x+2)+5x = 10 D. 2x+2(x-3) = 22

Solve each equation or inequality. |x+4| = 7

Solve each equation. 2x+8 = 3x+2

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. $\(\frac{x}{4}\)+\(\frac\)16=\(\frac{x}{3}\)$

Solve each equation. ∛(4x+3)=∛(2x-1)

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 

$5x+17=8x+12-3\(\left\)(x+4\(\right\))$

An electronic pass for a toll road costs \$30. The toll is normally \$5.00 but is reduced by 30% for people who have purchased the electronic pass. Determine the number of times the road must be used so that the total cost without the pass is the same as the total cost with the pass.

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? D = RT for R