LESSON 2-4 NUMBER OF SOLUTIONS FOR AN EQUATION

Determine which equation has no solution.

• 8x - 3 = 4x - 3
• 8x + 5 = 8x - 5
• 8x - 5 = 8x - 5
• 4x + 6 = -4x + 2

Determine which equation has an infinite number of solutions.

• 8x + 5 = 8x - 5
• 8x - 3 = 4x - 3
• 4x + 6 = -4x + 2
• 8x - 5 = 8x - 5

Determine which equation has no solution.

• 3(2x - 1) = 3(4x - 1)
• 6(x - 5) = 6(3x - 4)
• 2(3x + 4) = 3(2x + 3)
• 3(2x + 6) = 2(3x + 9)

Determine which equation has an infinite number of solutions.

• 3(2x + 6) = 2(3x + 9)
• 3(2x - 1) = 3(4x - 1)
• 2(3x + 4) = 3(2x + 3)
• 6(x - 5) = 6(3x - 4)

Determine which equation has no solution.

• 4(x + 3) = 2(4x + 3)
• 5(2x - 8) = 2(3x - 1)
• 2(9x + 3) = 3(6x + 3)
• 4(4x - 3) = 2(8x - 6)

What is the definition of infinite solutions?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true
• no matter what constant is substituted in for the variable, the equation will NEVER be true
• only this ONE solution will make the equation true

What is the definition of no solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true
• no matter what constant is substituted in for the variable, the equation will NEVER be true
• only this ONE solution will make the equation true

What is the definition of one solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true
• no matter what constant is substituted in for the variable, the equation will NEVER be true
• only this ONE solution will make the equation true