Exam 2: Solving Equations and Inequalities

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 written materials in a school of 500 students?

Evaluate the formula for the given values of the variables. -What percent of 110 is 55?

Solve. - $x = \frac { w + y + z } { 6 }$ for $y$

Translate the sentence to an inequality. -Five times a number less twenty-six must be more than sixty.

Solve the problem. Round to the nearest hundredth, if necessary. -33% of what number is 81?

Solve. --7x - 5 = -103

Solve using the multiplication principle. - $\frac { 1 } { 9 } x = 12$

Solve the problem. Round to the nearest hundredth, if necessary. -What number is 8.1% of 24?

Solve the problem. -A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 39 marbles in it. At least how many green marbles does it have?

Provide an appropriate response. -The solution for the equation $4 ( 9 \mathrm {~s} - 5 ) = 36 \mathrm {~s} - 20$ is given as 0 . Is this correct? Explain.

Solve the problem. -One half of a number is 3 more than one-sixth the same number. What is the number?

Provide an appropriate response. -What value of K makes this equation equivalent to x = 3? 3x - 9 = K

Solve. -9.9y - 7.1y = 47.6

Solve using the multiplication principle. - $32 = 4 x$

Solve using the multiplication principle. - $- 7 a + 9 \geq - 8 a + 12$

Solve using the multiplication principle. -21.7 = 3.1y

Solve the problem. -If the formula P = 0.5643Y - 1092.57 can be used to predict the average price of a theater ticket after 1945, for what years will the average theater ticket price be at least 42 dollars? (Y is the actual year.)

Solve the problem. -In order for a chemical reaction to remain stable, its Celsius temperature must be no more than $121.93 ^ { \circ } \mathrm { C }$ . Find the Fahrenheit temperatures at which the reaction will remain stable. $\left( F = \frac { 9 } { 5 } C + 32 \right)$

Translate the sentence to an inequality. -The score on a test was between 83 and 70.

Solve. --9 + x = x - 9