Exam 2: Linear Equations and Inequalities in One Variable

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. -A number subtracted from eighteen is four.

Solve the equation using both the addition and multiplication properties of equality. --13 = 7x + 1

Use a formula for perimeter or area to solve the problem. -The width of a room is 7 feet, and the area of the room is 105 square feet. Find the room's length.

Solve the equation. - $\frac { 1 } { 2 } + x = 3$

Solve the equation using the multiplication property of equality. - $- \frac { n } { 3 } = - 2$

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. -Two angles are complementary if their sum is 90°. If the measure of the first angle is x°, and the measure of the second angle is (3x - 2)°, find the measure of each angle.

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. - $\frac { x } { 2 } - 5 = \frac { x } { 2 }$

Use a formula for perimeter or area to solve the problem. - $\text { Find the perimeter of the figure. }$

Determine whether the equation in one variable is linear. -7x + 15 = 21

Solve the equation. - $5 x - 5 + 2 x = 7 x + 11 - 8 x$

Let x represent the number. Write the English phrase as an algebraic expression. -The quotient of 37 times a number and -3.

Solve the equation. - $6 ( 2 x - 1 ) = 24$

Solve the equation. -15x - 4 - 9x = 26

Solve the equation. - $\frac { 5 } { 4 } x + \frac { 1 } { 6 } = \frac { 7 } { 6 } x$

Solve the equation using the multiplication property of equality. - $\frac { 2 } { 9 } x = - \frac { 4 } { 9 }$

Solve the equation using the multiplication property of equality. - $56 = - \frac { 8 } { 9 } x$

Solve the equation. -7x - (5x + 4) = 10

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. - $12 ( x - 3 ) = 6 ( 2 x + 5 ) - 66$

Solve the equation. -3(2z - 4) = 5(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. - $8 ( x + 1 ) = 26 x + 26 - 18 x - 18$