1.
what is the value of x in the equation –6 + x = –3? (5 points)
–9
–3
3
9
2.
how many solutions does the equation –2a + 2a + 7 = 8 have? (5 points)
one
two
none
infinitely many
3.
what is the value of y in the equation 2(2y – 16) = 0? (5 points)
4
6
8
9
4.
how many solutions does the equation 5p – 4p – 8 = –2 + 3 have? (5 points)
one
two
none
infinitely many
5.
the steps below show the incomplete solution to find the value of n for the equation 4n – 2n + 4 = –1 + 17:
step 1: 4n – 2n + 4 = –1 + 17
step 2: 4n – 2n + 4 = 16
step 3: 2n + 4 = 16
which of these is most likely the next step? (5 points)
2n = 12
2n = 4
2n = 8
2n = 20
6.
what is the value of z in the equation 2(4z – 3 – 1) = 166 – 46? (5 points)
14
15
16
17
7.
what is the value of x in the equation –x = 3 – 4x + 6? (5 points)
–9
–3
3
9
8.
how many solutions does the equation 4n + 6 = 4 + 2 + 4n have? (5 points)
two
many
none
one
9.
which of these is a simplified form of the equation 6y + 4 = 8 + 2y + 2y? (5 points)
6y = 8
10y = 12
2y = 4
4y = 12
10.
the work of a student to solve the equation 3(2x – 4) = 8 + 2x + 6 is shown below:
step 1: 3(2x – 4) = 8 + 2x + 6
step 2: 5x – 7 = 14 + 2x
step 3: 5x – 2x = 14 + 7
step 4: 3x = 21
step 5: x = 7
in which step did the student first make an error and what is the correct step? (5 points)
step 2; 6x – 12 = 14 + 2x
step 2; 6x – 7 = 2(6 + x + 4)
step 3; 5x – 2x = 14 – 7
step 3; 5x + 2x = 14 + 7
11.
which statement is true about the equation z – z + 1 = z + 1? (5 points)
it has no solution.
it has one solution.
it has two solutions.
it has infinitely many solutions.
12.
what is the solution to the equation 3.6m – 2.7 = –1.8m? (5 points)
m = 0.25
m = 0.5
m = 1.25
m = 1.5