Math need done in 45 mins

1. Solve the linear equation.

7(x−4)−(x−4)=x+9−3(7−x)

3. For the following problem, assign a variable to represent the unknown or one of the unknowns and make an expression in x if there is more than one unknown. Then form an equation to model the problem using your statements for the unknown(s), solve it, and answer the question.

In a rectangular room, a rectangular rug measures 20 feet by 36 feet and is centered exactly in the room and then is surrounded on all four sides by a "rim" of the wooden floor of a uniform width. The perimeter of the rectangle formed by the rug and the surrounding wood floor is 118 feet. Determine the width of the wood floor rim that surrounds the rug, which is the width from the edge of the rug to the wall of the room on any side.

4. Simplify the expression using proper steps and notation.

−10+√-50

_________

5

6. Choose the statement that is TRUE (Write the letter on your paper).

A. The word imaginary, as in imaginary numbers, implies that these numbers are undefined.

B. The Least Common Denominator represents the same value as the Greatest Common Factor.

C. The Least Common Denominator for a set of denominators 3, 12, and 18 is 36.

D. This statement has no solution: - 8x = x.

E. The Least Common Denominator for a set of denominators 3, 8, and 10 is 240.