Exam 2: Solving Equations and Inequalities

Solve the problem. -After spending $3650 for tables and $2050 for chairs a convention center manager finds that the furniture cost 9% more than last year. Find the amount that he spent last year on tables and chairs. Round your answer to the Nearest dollar.

Solve the problem. Round to the nearest hundredth, if necessary. -What number is 7000% of 431?

Solve using the multiplication principle. - $3 x = 30$

Provide an appropriate response. -Find all values of s that make this statement true: $4 ( 8 s - 6 ) = 32 s - 24$

Solve. -Bill needs an average of 80 on four tests in science to make the honor roll. What is the lowest score he can receive on the fourth test if his first three scores are 75, 67, and 79?

Solve the problem. -The equation y = 0.005x - 0.20 can be used to determine the approximate profit, y in dollars, of producing x items. How many items must be produced so the profit will be at least $2487?

Solve the problem. -During one year, the Cheung's real estate bill included $200 for county services. Of this amount, $112 went to the highway department. What percent did the county highway department receive? (Round answer to two Decimal places.)

Solve. -37 = 5x - 8

Decide if the given number is a solution to the given equation. -3p + 6p - 8 = 10; 2

Solve the equation using the addition principle. --1 + a = 16

Solve the problem. -Brand X copier advertises that its copiers run 22% longer between service calls than its competitor. If Brand X copiers run 39,000 copies between service calls, how many copies would the competitor run (to the nearest Copy)?

Solve the equation using the addition principle. -a - 8.46 = 0

Solve using the multiplication principle. - $\frac { 1 } { 8 } = \frac { 4 } { 9 } x$

Solve. Clear fractions first. - $\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 2$

Evaluate the formula for the given values of the variables. -When all n teams in a league play every other team twice, a total of N games are played, where N = n2 - n. A basketball league has 8 teams and all teams play each other twice. How many games are played?

Solve. -7n - 8 = 48

Solve. - $14.1 - 7.1 ( x + 0.9 ) = 12 - 5 ( x + 3 )$

Solve the problem. -A high school graduating class is made up of 547 students. There are 111 more girls than boys. How many boys are in the class?

Evaluate the formula for the given values of the variables. - $P = 2 L + 2 W ; L = 3 \text { in., W= } 8 \text { in. }$

Solve the problem. -The sum of two consecutive integers is -343. Find the larger integer.