Claire says the expression 8x has three terms: 8, x, and 3. Is she correct? Explain.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Vou have evaluated expressions with known numbers and operation signs. An example
of this would be 6-7×4. Now you will evaluate expressions that include variables.
Remember, a variable is a letter that stands for an unknown number.
Look at this expression.
coefficient
variable
constant
2x+5
term
term
Every expression is made up of terms. A term is a known number, a variable, or the
product of a known number and variable(s). The expression 2x + 5 has two terms:
2x and 5.
A term that is a known number without variables is called a constant. The expression
2x + 5 has one constant: 5.
A term that includes variables is called a variable term. The expression 2x + 5 has one
variable term: 2x.
If one factor of a variable term is a known number, that number is called the coefficient.
The coefficient of the term 2x is 2.
Look again at the term 2x. It means "multiply a number by 2." You have used the
symbol x for multiplication. However, now that you are using the variable x, you will
need other ways to show multiplication. The expression 2 X x would look confusing.
Instead, you can write 2 x or 2x.
Reflect
1 Claire says the expression 8x³ has three terms: 8, x, and 3. Is she correct? Explain.
Transcribed Image Text:Find Out More Vou have evaluated expressions with known numbers and operation signs. An example of this would be 6-7×4. Now you will evaluate expressions that include variables. Remember, a variable is a letter that stands for an unknown number. Look at this expression. coefficient variable constant 2x+5 term term Every expression is made up of terms. A term is a known number, a variable, or the product of a known number and variable(s). The expression 2x + 5 has two terms: 2x and 5. A term that is a known number without variables is called a constant. The expression 2x + 5 has one constant: 5. A term that includes variables is called a variable term. The expression 2x + 5 has one variable term: 2x. If one factor of a variable term is a known number, that number is called the coefficient. The coefficient of the term 2x is 2. Look again at the term 2x. It means "multiply a number by 2." You have used the symbol x for multiplication. However, now that you are using the variable x, you will need other ways to show multiplication. The expression 2 X x would look confusing. Instead, you can write 2 x or 2x. Reflect 1 Claire says the expression 8x³ has three terms: 8, x, and 3. Is she correct? Explain.
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