Creating Linear Equations One Variable

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation.

• y = - 2,000x + 30,000

• y = - 2,000x - 30,000

• y = 30,000x + 2,000

• y = -30,000x + 2,000

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.  After how many months will the total cost be $58?

• 7 months

• 6 months

• 5 months 

• 4 months

Solve the linear equation.

-12y = 108

• y = -9

• y = 120

• y = 9

• y = -120

Solve the linear equation.

x / 7 = -8

• x = -56

• x = -15

• x = 15

• x = 56

Solve the linear equation.

5z + 2 = 6

• z = 8

• z = -8

• z = 4 / 5

• z = 5 / 4

Solve the linear equation.

8 ( 3x - 5 ) = 9x + 5

• x = 3

• x = -3

• x = 9 / 7

• x = 2 / 3

Solve the linear equation.

12 - 5 ( x - 7 ) = 2x + 12

• x = 5

• x = -5

• x = 61 / 5

• x = 35 / 3

Solve the linear equation.

2x - 3 ( x + 4 ) = -5

• x = -17

• x = -7

• x = 7

• x = 17

Solve the linear equation.

x - 15 = -19

• x = 34

• x = -34

• x = 4

• x = -4

Solve the linear equation.

¾ x = 27

• x = 20 ¼

• x = 36

• x = -20 ¼

• x = -36