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 nth power
Simplify.
6x2 + 14x – x2 – 50x
11(n – 2) + 3(n – 12)
5x – 3y + y – 8x
Solve for y.
x(y + 3) = z
Solve for b.
3a – 4b = 7
Solve for x.
3x – 7y = 12
Solve for t.
I = prt
Solve for m.
y = mx + c
Solve for l.
P = 2l + 2w
a(x – b) = c + ab
Solve for c.
What is the value of the expression n2 when n = 14?
What is the value of the expression (4x)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.
What is the value of the expression (4 x)2 + 6 when x = 2?
