1. Which statement about x in the equation a - x = 2a is true?
A. x is equal to twice a
B. x must be greater than a
C. x must be equal to the opposite of a
D. x does not have any real number values

2. A student concluded that 8x - 12 = 4( 1/2x - 6 ) has infinity many solutions. Which statement best describes the students conclusion?
A. The conclusion is incorrect because the equation has no solutions
B. The conclusion is incorrect because there is exactly one solution to the equation
C. The conclusion is correct because there are exactly two solutions to the equation
D. The conclusion is correct because when simplified, both sides of the equation are equivalent

3. A student conducted that 0.5( 6x + 4 ) = 3x + 4 has no solution. Which statement best describes the student conclusion?

A. The conclusion is incorrect because there are two solutions to the equation
B. The conclusion is incorrect because there is exactly one solution to the equation
C. The conclusion is correct because the coefficient before the variable is equivalent
D. The conclusion is correct because, when simplified, both sides of the equation are equivalent

4. Three times the difference of a number x and seven is twenty-three minus the sum of three times a number x and two. What is the value of x?

A. 5
B. 7
C. No solution
D. Infinitely many solutions

5. A piece of wood that measures 175 in. long was cut into three pieces. The second piece of wood is 3 in. more than 3 times the length of the first piece of wood. The third piece of wood is 8 in. less than 4 times the length of the first piece of wood. What is the length of the longest piece of wood?

A. 70 in.
B. 77 in.
C. 82 in.
D. 85 in.