Exam 2: Linear Equations and Inequalities in One Variable

Solve. -To trim the edges of a rectangular table cloth, 60 feet of lace are needed. The length of the table cloth is exactly one-half its width. What are the dimensions of the table cloth?

Solve the equation. - $0.45 ( x + 40 ) + 0.25 ( x + 20 ) = - 19$

Solve the equation. - $\frac { x } { 2 } + 4 = \frac { x } { 5 } + 7$

Determine whether the equation in one variable is linear. - $\sqrt { 2 } x + \pi = 0 . \overline { 6 }$

Solve the equation. - $\frac { 4 } { 5 } - \frac { x } { 3 } = \frac { 17 } { 15 }$

Determine whether the equation in one variable is linear. - $\frac { x } { 11 } + 26 = 15$

Solve. - The drawing shows the end of a building that is to be bricked. If the area of the side of a brick used is $\frac { 1 } { 6 }$ sq. $\mathrm { ft }$ , fin number of bricks needed to completely cover the side of the building. the

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. - $7 ( x + 4 ) + 5 = 7 x + 2$

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. -30 marbles are to be divided into three bags so that the second bag has three times as many marbles as the first bag and the third bag has twice as many as the first bag. If x is the number of marbles in the first bag, find the Number of marbles in each bag.

Solve the equation. - $\frac { \mathrm { a } } { 3 } - \frac { 1 } { 3 } = - 5$

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. -The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is $180,000, find each worker's salary.

Solve the equation. - $- 6 a + 5 + 7 a = 8 - 30$

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. -When 5 times a number is subtracted from 7 times the number, the result is 22. Find the number.

Determine whether the equation in one variable is linear. - $x ^ { 2 } - 2 = 9$

Solve the equation. - $4 - 6 x = 3 x - 2 x - 31$

Determine whether the equation in one variable is linear. - $6 \sqrt { x } - 3 = 0$

Solve the equation using the multiplication property of equality. - $- 11 x + x = - 80$

Use the given information to write an equation. Let x represent the number described in the exercise. Then solve the equation and find the number. -The altitude above sea level of an airplane just after taking off from an airport on a high plateau is given by the formula h = 700t + 3182, where h is in feet and t is the time in minutes since take-off. Find the altitude of the Airplane after 9 minutes.

Solve the problem. -The weekly production cost C of manufacturing x calendars is given by C = 21 + 2x, where the variable C is in dollars. What is the cost of producing 294 calendars?

Solve the equation. - $3 ( 3 x - 2 ) - 12 = 4 x - 3$