5 Thus, when
- 2. the expression is equal to 3/5.
Illustrative Example 2:
Evaluate the expression
Sx246x-11
when x= 2.
Solution:
Step 1: Replace the variable x with the given value.
5x24 6x-11 5(2)2 +6(2)-11
(by substituting x=2)
Step 2: Simplify the numerator and the denominator.
5(2)2 + 6(2) - 11
5(4) + 6(2) - 11
1
1
20 + 12-11
1
21
T
21
Thus, when x = 2, the expression
5x+63-11
is equal to 21.
Try applying rational algebraic expression in real-life situation. Consider these illustrative examples
Illustrative Example 1:
Vannessa can finish writing a module in x hours, while his brother Ryan can finish writing the
same module in y hours. Write an expression that will illustrate their rate of work to finish writing the
module.
This can be illustrated using a table:
Time (in hours)
part of work
hour
1
Vannessa
X
1
Ryan
у
y

Step-by-step explanation:

Algebra is an interesting and enjoyable branch of mathematics in which numbers, shapes and letters are used to express problems. Whether you are learning algebra in school or you are examining a certain test, you will notice that almost all mathematical problems are represented in words.

Therefore, the need of translating written word problems into algebraic expressions arises when we need to solve them.

Most of the algebraic word problems consist of real-life short stories or cases. Others are simple phrases such as the description of a math problem. Well, in this article we will learn how to write algebraic expressions from simple word problems, then advance to lightly complex word problems.

What is an Algebraic Expression?

Many people interchangeably use algebraic expression and algebraic equations unaware that these terms are totally different.

An algebraic is a mathematical phrase where two side of the phrase are connected by an equal sign (=). For example, 3x + 5 = 20 is an algebraic equation where 20 represents the right-hand side (RHS) and 3x +5 represents the left-hand side (LHS) of the equation.

On the other hand, an algebraic expression is a mathematical phrase where variables and constants are combined using the operational (+, -, × & ÷) symbols.  An algebraic symbol lacks the equal (=) sign. For example, 10x + 63 and 5x – 3 are examples of algebraic expressions.

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60: 45 =12: 9 =4: 3 so the answer is 4: 3