91Ó°ÊÓ

In Exercises 1-34, evaluate the algebraic expression for the given value or values of the variables. \(5 x+7 ; \quad x=4\)

Use FOIL to find the products in Exercises 1-8. \((x-5)(x+3)\)

Factor the trinomials in Exercises 9-32, or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}+5 x+6\)

Write each English phrase as an algebraic expression. Then simplify the expression. Let \(x\) represent the number. A number decreased by the difference between eight and the number

Solve and check each equation. \(5 x-8=72\)

Write each English phrase as an algebraic expression. Then simplify the expression. Let \(x\) represent the number. Eight decreased by three times the sum of a number and six

Solve each inequality and graph the solution set on a number line. \(4 x<20\)

The bar graph shows average yearly earnings in the United States for four selected occupations. Exercises 21-22 are based on the data displayed by the graph. The average yearly salary of a lawyer is \(\$ 24\) thousand less than twice that of an architect. Combined, an architect and a lawyer earn \(\$ 210\) thousand. Find the average yearly salary of an architect and a lawyer.

Factor the trinomials or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(3 x^{2}+7 x+2\)

Despite booming new car sales with their cha-ching sounds, the average age of vehicles on U.S. roads is not going down. The bar graph shows the average price of new cars in the United States and the average age of cars on U.S. roads for two selected years. Exercises 23-24 are based on the information displayed by the graph. In 2014 , the average price of a new car was \(\$ 37,600\). For the period shown, new-car prices increased by approximately \(\$ 1250\) per year. If this trend continues, how many years after 2014 will the price of a new car average \(\$ 46,350\) ? In which year will this occur?