Hotmath
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Title:
Hotmath
Author:
Hotmath
Chapter: Equations and Inequalities Section: Algebraic Expressions
 

Problem: 1

Write an algebraic expression to translate:

three times a number decreased by four

 

Problem: 3

Write an algebraic expression to translate:

A number raised to the fourth power

 

Problem: 5

Write an algebraic expression to translate:

twelve decreased by the cube of a number

 

Problem: 7

Write an algebraic expression to translate:

Three times the sum of a number and its cube

 

Problem: 9

Write an algebraic expression to translate:

The sum of 6 and four times a number

 

Problem: 11

Write an algebraic expression to translate:

6 to the n th power

 

Problem: 13

Simplify.

6 x 2 + 14 x x 2 – 50 x

 

Problem: 15

Simplify.

11( n – 2) + 3( n – 12)

 

Problem: 17

Simplify.

5 x – 3 y + y – 8 x

 

Problem: 19

Solve for y .

x ( y + 3) = z

 

Problem: 21

Solve for b .

3 a – 4 b = 7

 

Problem: 23

Solve for x .

 

Problem: 25

Solve for x .

3 x – 7 y = 12

 

Problem: 27

Solve for t .

I = prt

 

Problem: 29

Solve for m .

y = mx + c

 

Problem: 31

Solve for l .

P = 2 l + 2 w

 

Problem: 33

Solve for b .

a ( x b ) = c + ab

 

Problem: 35

Solve for c .

 

Problem: 37

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

 

Problem: 39

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

 

Problem: 41

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

 

Problem: 43

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

 

Problem: 45

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

 

Problem: 47

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

 

Problem: 49

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.

 

Problem: 51

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.