91Ó°ÊÓ

Factor the trinomials or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(5 x^{2}-13 x+6\)

A new car worth \(\$ 24,000\) is depreciating in value by \(\$ 3000\) per year. After how many years will the car's value be \(\$ 9000 ?\)

In Exercises 33-36, solve each equation using the zero-product principle. \((x-8)(x+3)=0\)

Evaluate the algebraic expression for the given value or values of the variables. \(\frac{2 x+3 y}{x+1} ; \quad x=-2, y=4\)

Solve each inequality and graph the solution set on a number line. \(-7 x \leq-21\)

After a \(20 \%\) reduction, you purchase a television for \(\$ 336\). What was the television's price before the reduction?

Solve the quadratic equations in Exercises 37-52 by factoring. \(x^{2}-2 x-15=0\)

In Exercises 39-40, name the property used to go from step to step each time that "(why?)" occurs. $$ \begin{aligned} 7 &+2(x+9) \\ =& 7+(2 x+18)(\text { why?) }\\\ =&+(18+2 x)(\text { why? }) \\ =&(7+18)+2 x(\text { why? }) \\ =& 25+2 x \\ =& 2 x+25(\text { why?) } \end{aligned} $$

Simplify each algebraic expression. \(7(3 y-5)+2(4 y+3)\)

In your own words, describe a step-by-step approach for solving algebraic word problems.