Twice the difference of a number and 7 is equal to three times the sum of the number and 4. Find the number.

1. Twice the difference of a number and 7 is equal to three times the sum of the number and 4. Find the number.

2. Use the commutative property or associative property to simplify the expression.
1
___ (8y)=
8

3. Solve the equation:
11-2(a-1) = 4 + a

(A). a= ____ (Simplify your answer. Type an integer or a fraction)
(B). The solution is all real numbers.
(C). There is no solution.

4. Solve the equation:
-3y-7=5y+17
(A). y= _____
(B). The solution is all real numbers.
(C). There is no solution.

5. Use an associative property to complete the statement.
(nm) * k= ______

6. Use the associative property to simplify the following expression.

8 ( 6 )
______( ____s )=
6 ( 8 )

7. Substitute the given values into the formula, and solve for the unknown variable.

1
A= ___ h (B + b); A=30, B=2, b=1
2

h= _____

8. Solve the equation for x.
-2 (4x - 5) = 4x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(A). x= ______ (Simplify your answer. Type an integer or a fraction)
(B). The solution is all real numbers.
(C). There is no solution.