Write an algebraic expression to translate:

three times a number decreased by four

A number raised to the fourth power

twelve decreased by the cube of a number

Three times the sum of a number and its cube

The sum of 6 and four times a number

6 to the n th power

Simplify.

6 x ^{ 2 } + 14 x – x ^{ 2 } – 50 x

11( n – 2) + 3( n – 12)

5 x – 3 y + y – 8 x

Solve for y .

x ( y + 3) = z

Solve for b .

3 a – 4 b = 7

Solve for x .

3 x – 7 y = 12

Solve for t .

I = prt

Solve for m .

y = mx + c

Solve for l .

P = 2 l + 2 w

a ( x – b ) = c + ab

Solve for c .

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What is the value of the expression n ^{ 2 } when n = 14?

What is the value of the expression (4 x ) ^{ 2 } + 6 when x = 2?

What is the value of the expression 9( x + y ) ^{ 2 } when x = 8 and y = 2?

Given the values of x and y , evaluate the expression.

Huong buys a DVD player for $255 and rents movies every month. The cost of each rental is $2.75. Write an expression that gives the total amount he spent during the first year on the movies including the cost of DVD player. Find the money spent if he rents 4 movies each month.

A quadrilateral has perimeter 70 cm, and the lengths of its sides are consecutive even integers and the smallest dimension is x cm. Write an equation to describe the given situation.