Problem 86
Question
What is an algebraic expression? Give an example with your explanation.
Step-by-Step Solution
Verified Answer
An algebraic expression is a mathematical phrase composed of variables, coefficients, and operators. For example, in the expression 4a - 3b + 2, 'a' and 'b' are variables, 4, -3, 2 are coefficients, and the operations used are addition and subtraction.
1Step 1: Definition
An algebraic expression is a combination of variables, numbers, and at least one algebraic operation like addition, subtraction, multiplication, or division.
2Step 2: Explanation
Objects in an expression are called 'terms', which can be numbers, variables, or a combination of both. The terms are separated by '+' or '-' operations. For example, in the expression 3x + 2, the terms are 3x and 2.
3Step 3: Example
Take the expression 4a - 3b + 2. Here, 4a, -3b, 2 are the terms, 'a' and 'b' are the variables, 4, -3, 2 are the coefficients, and the operations are subtraction and addition.
Other exercises in this chapter
Problem 86
In Exercises 85-94, factor and simplify each algebraic expression. $$x^{3 / 4}-x^{1 / 4}$$
View solution Problem 86
Perform the indicated operation and express the answer in decimal notation. $$ \frac{20 \times 10^{26}}{10 \times 10^{15}} $$
View solution Problem 87
The number of people who catch a cold t weeks after January 1 is \(5 t-3 t^{2}+t^{3} .\) The number of people who recover \(t\) weeks after January 1 is \(t-t^{
View solution Problem 87
In Exercises \(85-94,\) simplify using properties of exponents. $$\frac{20 x^{1 / 2}}{5 x^{1 / 4}}$$
View solution