Translate the following into algebraic expressions. Clearly identify the variables, coefficients, and constants:
a) One fourth of one half of the product of two numbers
b) Two-thirds of the quotient of two numbers
c) The product of 7 and twice n

Solution Preview

a) Variables = 2 numbers ( lets say a& b)
Constants = ...

1. Simplify the following algebraicexpressions:
2. Perform the indicated operations (Multiply/Divide) on the given algebraicexpressions:
3. Factor the algebraicexpressions completely:
4. Simplify the rational expressions:
5. Classify the given numbers as real and rational, real and irrational, or complex:
[

Write algebraicexpressions for the following unknown integers. See Example 4.
1) Three consecutive even integers
Translating Verbal Expressions into AlgebraicExpressions
2) The rate, given that the distance is 200 feet and the time is x + 3 seconds
3) The perimeter of a rectangle, given that the length is x yards

1. Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the third prize is fourth-fifths that of the second prize.
a. Express the total value of the three prizes as an algebraic expression.
b. Comment on the ki

Equation is a statement asserting the equality of two expressions; they are constructed from algebraicexpressions. They are separated into left and right sides and joined by an equal sign.
Expression is a group of letters that are used for numbers.
Equation
820 + Y - 820 = 1820 - 820
Expression
A x 12

Provide a tutorial on the factorization of algebraicexpressions including:
* Highest common factor
* difference of two squares
* sum or difference of two cubes
* quadratic equations
* four term grouping

1.Classify each number below as an integer or not.
10/3
-68.44
-56/8
-956.29
-69
2. Classify each number below as a rational number or an irrational number.
12.34_
16
-5~
17.56
21
3. Evaluate the expressions below. Write each response as an integer or as a fraction
(-2)5
(4/3)3
Evaluate the following.
8/2+6+4x

1.) Write the following as an algebraic expression using x as the variable : the sum of a number and -8
2.) Write the following as an algebraic expression using x as the variable: Five more than the product of 7 and a number.
3.) Solve -3 ( -19+4 )/-5

1. Why is it necessary to study the order of operations and the laws of operations before you start solving equations?
2. Of the three laws, commutative, associative, and distributive, which one is most frequently used in algebra? Why?
3. How does a term differ from a factor?
4. When adding or subtracting expressions,

3. Lisa is coloring her creation. The blue color used is 50% of the green color used, yellow is 5% of the blue color used, and brown is 7% of the amount of green used. She wants to find the total amount of color used by her.
a. Find the total amount of color used by Lisa using an algebraic expression.
b. Comment on the kind of