# Hotmath Practice Problems

Title:
Hotmath Algebra 2
Author:
Hotmath Team
Chapter:Equations and InequalitiesSection: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 nth power

Problem: 13

Simplify.

6x2 + 14xx2 – 50x

Problem: 15

Simplify.

11(n – 2) + 3(n – 12)

Problem: 17

Simplify.

5x – 3y + y – 8x

Problem: 19

Solve for y.

x(y + 3) = z

Problem: 21

Solve for b.

3a – 4b = 7

Problem: 23

Solve for x.

Problem: 25

Solve for x.

3x – 7y = 12

Problem: 27

Solve for t.

I = prt

Problem: 29

Solve for m.

y = mx + c

Problem: 31

Solve for l.

P = 2l + 2w

Problem: 33

Solve for b.

a(xb) = c + ab

Problem: 35

Solve for c.

Problem: 37

What is the value of the expression n2 when n = 14?

Problem: 39

What is the value of the expression (4x)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.