Exam 1: Review of Algebra

-3(x - y)=

Perform the operation and simplify your answer:

Factoring (x + 1)(x - 3)+ (x + 7)(x - 3)gives

Solve the equation: 0.4(x + 1.3)= 1.9

Multiply and simplify: (3x + 1)(2x - 4)

Completely factor: - 10x + 16

Simplify the following; express your answer with no radical in the denominator:

A boat with a speed of 12 mph travels 8 miles downstream in a current of c miles an hour in the same time a boat going the same speed travels 4 miles upstream.Write an equation describing this situation and find the speed of the current.

What property of real numbers allows us to write a(b + c)= a(c + b)?

Simplify; express the answer without radicals:

Solve: + = x

Simplify the following; express your answer with no radical in the denominator:

Solve: = -

Completely factor: - -

If A = p + prt,then r =

Solve: = 5x

Solve: - 7x - 8 = 0

Simplify:

Simplify the following; express your answer with no radical in the denominator:

Multiply and simplify: (x + 2)(x - 2)( + 4)