Exam 2: Solving Equations and Inequalities

Solve the problem. -The normal gasoline mileage of a car is 20 mpg. On a smooth road, its mileage is 12% higher. What is its mileage on a smooth road? Round your answer to the nearest tenth.

Solve using the multiplication principle. - $- \frac { 2 } { 7 } x = 17.48$

Provide an appropriate response. -One number is twice another. If the larger number is m, how do you express the other number in terms of m?

Solve. - $2 ( 2 z - 2 ) = 3 ( z + 5 )$

Graph the inequality. - $x > 0$

Solve. Clear fractions first. - $\frac { 1 } { 3 } r + 2 = \frac { 1 } { 6 } r + \frac { 4 } { 3 }$

Solve the problem. -A 9 -pound puppy is gaining weight at a rate of $\frac { 2 } { 3 }$ lb per week. How much more time will it take for the puppy's weight to exceed $31 \frac { 2 } { 3 } \mathrm { lb }$ ?

Solve. - $5 y - 7 = 9 + y$

Solve the problem. -In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least $166.17 ^ { \circ } \mathrm { F }$ . Find the Celsius temperatures at which the reaction may occur. $\left( \mathrm { F } = \frac { 9 } { 5 } \mathrm { C } + 32 \right)$

Solve the problem. -Sales of frozen pizza for a club fund-raiser increased from 500 one year to 645 the next year. What was the percent of increase?

Solve. - $3 ( 3 x - 1 ) = 12$

Solve the problem. -Midtown Antiques has found that sales have decreased 2% from last year. Sales this year are $198,181. Find the amount of last year's sales. Round your answer to the nearest dollar.

Solve. -Elaine was cooking dinner for some friends. She went out to do the shopping and spent $120. She spent twice as much on food as on drinks. How much did she spend on each?

Solve using the multiplication principle. - $0.6 x + 18 + x > 2 x + 23 - 0.5 x$

Answer the question. -In a school survey, students showed these preferences for instructional materials. Answer the question. About how many students would you expect to prefer computers in a school of 500 students?

Solve. Clear decimals first. -8.64x + 69.12 = 5.76x + 46.08

Solve the problem. -On a biology test, a student got 25 questions correct but did not pass. On a second attempt, the student got 34 questions correct. What was the percent of increase?

Provide an appropriate response. -The solution of the equation 7y - 6 = 7y + 3 is zero.

Solve. - $8 x - ( 4 x - 1 ) = 2$

Solve. -5r + 10 = 60