Solving Equations Review

7x - 4x + 3 = 3(x - 1)

• One x = 0
• One x = -3
• None
• Infinitely Many

7x - 13x + 5 = -6x + 5

• One (x = 5)
• One (x = -5) 
• None
• Infinitely Many

3 (-3x - 10) = 4 (-3x + 3)

• One (x = -14)
• One (x = 14)
• None
• Infinitely Many

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

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

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

4a + 3 = 15

• 2
• 4
• 1
• 3

3(x+2) = 15

• 13

• 7

• 4.33333

• 3