I need help right now in a test.
Grace was given this problem on her math test.
Two teams of students were assigned to measure a hallway each using a stick of the same length. Team A measured the length of the hallway as 6 sticks plus 18 units. Team B measured the length of the hallway as 8 units less than 8 sticks.
Grace wrote the equation 6x + 18 = 8x − 8 to represent the problem situation where x represents the length of the stick in units. She then used algebra tiles to solve the equation.
Step 1: 6 x + 18 = 8 x minus 8. Step 2: 6 x + 18 + 8 = 8 x minus 8 + 8. Step 3: 6 x + 18 + 8 = 8 x. Step 4: 6 x + 26 = 8 x. Step 5: question mark.
Which model represents a possible step 5 in Grace’s solution process and the value of x?
A
6x + 26 + 8x = 8x + 8 ex. x = negative 1 and 6 over 7
B
6x + 26 minus 6x = 8x minus 6x. x = 13
C
6x + 26 minus 8x = 8x minus 8 ex. x = negative 13
D
6x + 26 minus 6x = 8x minus 6x. x = 1 and 6 over 7