Solving One-Step and Multi-Step Equations

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

Find the Error
What error did the student make when solving the equation:
5x + 6 =  66
5x - 6 = 66 -6
5x = 60
5*5x= 60*5
x = 300

• The student subtracted 6 from both sides instead of adding

• Student multiplied by 5 instead of dividing by 5

• Student got the wrong answer when subtracting 66-6

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

5x - 4 + 2x = 3

• 1

• 2

• 3

• 4

3(3x - 6) = 18

• x = 4

• x = -4

• no solution

• all real numbers (infinite)

• A
• B
• C
• D

• A
• B
• C
• D

Solve the equation:
3x - x + 4 = 4(2x +1)

• no solution

• infinite solutions

• x = 6

• x = 0

• 1
• 0
• 2
• 7

2x + 3(5x - 7) = 47

• x = 1

• x = 2

• x = 3

• x = 4

3x - x + 4 = 4(2x +1)

• no solution

• all real numbers (infinite)

• x = 6

• x = 0