Big Ideas 1.3 Exercises: Variables on Both Sides

Is the equation -2(4 - x) = 2x + 8 an identity?

• No, because it is not true for all values of x.

• Yes, because it is true for all values of x.

• No, because it has no solution.

• Yes, because it has only one solution.

Which of the following is the correct first step in solving the linear equation 3(3x - 8) = 4x + 6?

• Expand the left side to get 9x - 24 = 4x + 6

• Add 8 to both sides

• Divide both sides by 3

• Subtract 6 from both sides

Solve the equation and check your solution: 15 - 2x = 3x

• x = 3

• x = -3

• x = 5

• x = 0

Solve the equation and check your solution: 26 - 4s = 9s

• s = 2

• s = -2

• s = 5

• s = 4

Solve the equation and check your solution: 5p - 9 = 2p + 12

• p = 7

• p = -7

• p = 3

• p = 21

Solve the equation and check your solution: 8g + 10 = 35 + 3g

• g = 5

• g = 3

• g = 9

• g = -5

Solve the equation and check your solution: 5t + 16 = 6 - 5t

• t = -1

• t = 1

• t = 0

• t = 2

Solve the equation and check your solution: -3r + 10 = 15r - 8

• r = 1

• r = -1

• r = 2

• r = 0

Solve the equation and check your solution: 7 + 3x - 12x = 3x + 1

• x = 1

• x = 0

• x = -1

• x = 2

Solve the equation and check your solution: w - 2 + 2w = 6 + 5w

• w = -2

• w = 2

• w = 1

• w = -1