Equations with Variables on Both Sides & Special Solutions

Solve for x: 6x - 3 = 3x + 6

• x = 1

• x = 3

• x = -3

• x = 6

Solve for y: -5y - 7 = -10y + 8

• y = 5

• y = 1

• y = -1

• y = 3

Solve for b: 7b - 5 = 2(6b - 5)

• b = 1

• b = 2

• b = 5

• b = -5

Three times a number decreased by 4 is 1 more than half the number. What is the number?

• 5

• -3

• 2

• 3

Identify if the equation has one solution, no solution, or infinitely many solutions: 9z + 2 = 2 + 9z

• one solution

• no soution

• infinitely many solutions

Identify if the equation has one solution, no solution, or infinitely many solutions: 4a + 4a + 4 = 8a + 5

• one solution

• no soution

• infinitely many solutions

Identify if the equation has one solution, no solution, or infinitely many solutions: 2(6b + 3) = 12b + 7

• one solution

• no soution

• infinitely many solutions

Identify if the equation has one solution, no solution, or infinitely many solutions: 3x + 7 = 10

• one solution

• no soution

• infinitely many solutions

Identify if the equation has one solution, no solution, or infinitely many solutions: 4c - 2 = 2(2c - 1) 

• one solution

• no soution

• infinitely many solutions

Which statement best describes the equation?
-4(2x - 1) = 12 - 4(3 + 2x)

• The equation has one solution at x = 0. 

• The equation has one solution at x = 

• The equation has no solution. 

• The equation has infinitely many solutions.