Solution to Linear Equations

Taylor correctly solved an equation and got 3x = 3x as his answer. What type of solution does this equation have?

• One Solution

• No Solution

• Infinite Solutions

Brian correctly solved an equation and got 8 = -11 as his answer. What type of solution does this equation have?

• One Solution

• No Solution

• Infinite Solutions

Lisa correctly solved an equation and got 5 = 1 as her answer. What type of solution does this equation have?

• One Solution

• No Solution

• Infinite Solutions

Find the Error
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2

• The student found an incorrect common denominator

• The student did not multiply all terms by the common denominator

• The student did not use opposite operations appropriately

• The student did not correctly eliminate the variable from one side of the equation

• Step 1 and Step 2

• Step 2 and Step 3

• Step 3 and Step 4

• Step 1 and Step 2

• Step 2 and Step 3

• Step 3 and Step 4

• Step 4 and Step 5

Which justification would be used for STEP 2?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

• Simplify

Which justification would be used for STEP 3?

• Addition Property of Equality

• Subtraction Property of Equality

• Combine Like Terms

• Division Property of Equality

• Distributive Property

Which justification would be used for STEP 4?

• Addition Property of Equality

• Subtraction Property of Equality

• Combine Like Terms

• Division Property of Equality

• Distributive Property

Given the equation: 14x - 12 = 3x + 5 + px What value of p makes the equation have no solution?

• 11

• 14

• 12

• 1