1.


What is the value of r in the equation 4r – 8 = 5r + 12? (4 points)


–20


–1


1


20






2.


Which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y? (4 points)


5y = 2


5y = 10


11y = 2


11y = 10






3.


What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? (4 points)


–4


–2


2


4






4.


How many solutions can be found for the equation –4x – 11 = 2(x – 3x) + 13? (4 points)


None


One


Two


Infinitely many






5.


The work of a student trying to solve the equation 2(2x – 3) = 6 + 2x + 4 is shown below:

Step 1: 2(2x – 3) = 6 + 2x + 4

Step 2: 4x – 3 = 10 + 2x

Step 3: 4x – 2x = 10 + 3

Step 4: 2x = 13

Step 5: x = 6.5

In which step did the student first make an error and what is the correct step? (4 points)


Step 2: 4x – 6 = 10 + 2x


Step 2: 4x – 3 = 2 + 2x


Step 3: 4x + 2x = 10 + 3


Step 3: 4x – 2x = 10 - 3