Exam 9: Equations, Inequalities, and Problem Solving

Solve the problem. -In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won by each team are three consecutive integers whose sum is 84 and the U.S. won More than China who won more than Romania, how many medals did each team win?

Solve the equation. -9x - 8 + 9x - 8 = 9x + 9x - 19

Solve. Round to the nearest hundredth, if necessary. -919 is what percent of 779?

Substitute the given values into the formula and solve for the unknown variable. -d = rt; t = 2, d = 8

Write the algebraic expression described. -If x represents the first of four consecutive odd integers, express the sum of the first integer and the fourth integer in terms of x.

Solve. -Eight less than three times a number is less than ten. Find all such numbers.

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -7x - 6x + 5 = 5

Write the following as an equation, using x for the unknown number. Then solve. -If 4 times a number is added to -6, the result is equal to 10 times the number. Find the number.

Solve the inequality. - $12 x + 24 \leq 3 ( 3 x + 5 )$

Solve the equation for the indicated variable. -I = Prt for P

Solve the inequality. - $- 4 ( 2 y - 8 ) < - 12 y + 36$

Solve the equation. - $x + \frac { 1 } { 6 } = - \frac { 1 } { 18 }$

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -6x = 8(3x + 8)

The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to answer the question. -What percent of college students consume more than 7 pizzas in a typical month?

Solve the equation for the indicated variable. -I = Prt for r

Solve the equation. -9p = 7(2p + 3)

Solve the inequality. - $- 5 \geq \frac { y } { 6 }$

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -8(y - 9)= 9y - 72

Solve. -The manager of a candy shop sells chocolate covered peanuts for $6 per pound and chocolate covered cashews for $14 per pound. The manager wishes to mix 60 pounds of the cashews to get a cashew-peanut mixture that Will sell for $9 per pound. How many pounds of peanuts should be used?

Write the algebraic expression described. Simplify if possible. -A 24-centimeter piece of rope is cut into two pieces. If one piece is z centimeters long, express the other length as an algebraic expression in z.