Exam 2: Linear Equations and Inequalities in One Variable

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. -A car rental agency advertised renting a luxury, full-size car for $24.95 per day and $0.29 per mile. If you rent this car for 5 days, how many whole miles can you drive if you only have $200 to spend?

Solve the equation using both the addition and multiplication properties of equality. -5n - 8 = 37

Solve the equation. - $0.40 x - 0.20 ( x + 20 ) = 0.40 ( 20 )$

Solve the equation. - $x + \frac { 1 } { 2 } = - \frac { 1 } { 4 }$

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

Solve the equation. - $9 y = 8 y - 2.6$

Solve the equation. --23.4 - x = 15.6

Solve the equation using the multiplication property of equality. - $\frac { 1 } { 16 } a = 0$

Determine whether the equation in one variable is linear. - $3 ( x - 4 ) = 0$

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. -A 10-ft. board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.

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 monthly cost of a certain long distance service is given by the formula C = 0.08t + 6.95 where C is in dollars and t is the amount of time in minutes called in a month. Find the cost of calling long distance for 160 minutes in A month.

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

Solve the equation. - $\frac { 2 x } { 5 } - \frac { x } { 3 } = 3$

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. -If thirty is divided by a number, the result is five.

Solve the equation using both the addition and multiplication properties of equality. -10y - 35 = 5y

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. -If 239 is subtracted from a number, the result is 715.

Solve the equation. --8.2 + 4x - 6.3 + 5x - 2.1 = 5.7 + 10x + 1.3

Solve the equation. - $5 - 8 ( y + 7 ) = 6 - 7 y$

Determine whether the equation in one variable is linear. -x - 2 = 12

Solve the equation. -10y = 4y + 4 + 5y