Exam 2: Linear Equations and Inequalities in One Variable

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. - $7 ( x + 5 ) = 7 x - 70$

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. -Twenty-nine increased by a number equals fifty-two.

Solve the equation. -1.6 - 9.5x = -48.2 - 1.2x

Solve the equation. - $2.1 + x = 17.6$

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. -Rooms in Dormitory A each have 132 square feet of floor space. These rooms have twice as much floor space as each room in Dormitory B. About how much floor space does a room in Dormitory B have?

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. -A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe's phone bill was $73 under this promotional deal, how many minutes of phone calls did he make? Round to The nearest integer, if necessary.

Solve the equation. - $14 x - 9 = 6 x + 15$

Solve the problem. -Power is the time rate of doing work and is commonly measured in watts. Power is given by the formula $\mathrm { P } = \frac { \mathrm { W } } { \mathrm { t } }$ where P is power, W is work (in joules), and t is time in seconds. If 800 watts of power are used in 27 seconds, how much work (in joules) was done?

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. - $9 x + 8 + 5 x + 5 = 5 x + 9 x + 10$

Solve the equation. - $x + \frac { 1 } { 6 } = \frac { 5 } { 6 }$

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. - $- 8 x + 6 + 6 x = - 2 x + 11$

Use a formula for perimeter or area to solve the problem. -The length of a rectangle is 121 in. and the width is 33 in. Find its perimeter.

Use a formula for perimeter or area to solve the problem. - Find the area of the triangle.

Solve the equation using both the addition and multiplication properties of equality. - $6 x - 3 x - 3 = - 2 x$

Solve the equation. -2(2z - 5) = 3(z + 5)

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. - $9 x + 1 = 1 - x$

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. -15% of students at a university attended a lecture. If 4000 students are enrolled at the university, about how many students attended the lecture?

Solve the equation using the multiplication property of equality. - $- 42 x = 36$

Let x represent the number. Write the English phrase as an algebraic expression. -Five times a number, decreased by 19.

Solve the equation. -3(y + 3) = 4(y - 5)