Question: Lily begins solving the equation 4(x - 1) - x = 3(x + 5) - 11. Her work is shown below.

4(x - 1) - x = 3(x + 5) - 11

4x - 4 - x = 3x + 15 - 11

3x - 4 = 3x + 4

How can her partial solution be interpreted?

Answer: The equation has no solution.

Question: Karissa begins to solve the equation 1/2 (x - 14) + 11 =1/2 x - (x - 4). Her work is correct and is shown below.

1/2(x - 14) + 11 =1/2 x - (x - 4)

1/2 x - 7 + 11 =1/2 x - x + 4

1/2 x + 4 = -1/2 x + 4

When she subtracts 4 from both sides,1/2 x = -1/2 x results. What is the value of ?

Answer: 0

Question: Solve for n.

11(n - 1) + 35 = 3n

Answer: n=-3

Question: What is the value of n in the equation 1/2 (n - 4) - 3 = 3 - (2n + 3)?

n =

Answer: 2

Question: Which equation can be used to represent “three minus the difference of a number and one equals one-half of the difference of three times the same number and four”?

Answer: 3 - (n - 1) = 1/2 (3n - 4)

Question: How many solutions exist for the given equation?

3(x - 2) = 22 - x

Answer: one

Question: Solve for n.

n + 1 = 4(n - 8)

Answer: n=11

Question: What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?

Answer: 4

Question: How many solutions exist for the given equation?

1/2(x + 12) = 4x - 1

Answer: one

Question: How many solutions exist for the given equation?

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

Answer: one