Questions and Answers
What is the 8 in the expression $8y + 3$?
What is the y in the expression $8y + 3$?
What is the 3 in the expression $8y + 3$?
Define a variable.
Signup and view all the answers
Define a constant.
Signup and view all the answers
Define a coefficient.
Signup and view all the answers
Define an algebraic expression.
Signup and view all the answers
What are numbers and variables separated by operations called?
Signup and view all the answers
How many terms are in the expression $4x - 12$?
Signup and view all the answers
Which are like terms in the expression $6m - 2n + 7 - m$?
Signup and view all the answers
How many terms are in the expression $6y$?
Signup and view all the answers
How many terms are in the expression $3 + 7x + 3x + x$?
Signup and view all the answers
How many terms are in the expression $6m - 2n + 7$?
Signup and view all the answers
List the coefficients in the expression $6m - 2n + 7$.
Signup and view all the answers
List the coefficients in the expression $3 + 7x + 3x + x$.
Signup and view all the answers
List the constant in the expression $7x - 3 + x$.
Signup and view all the answers
List the constant in the expression $6m - 2n + 7$.
Signup and view all the answers
List the variables in the expression $6m - 2n + 7$.
Signup and view all the answers
List the variables in the expression $3 + 7x + 3x + x$.
Signup and view all the answers
What are 2x and -5x in the expression $2x + 4 - 5x - 8$?
Signup and view all the answers
Study Notes
Algebraic Expression Components
- Coefficient: A numerical factor of a term; e.g., in 8y + 3, 8 is the coefficient of y.
- Variable: A symbol representing an unknown value, commonly a letter like y in expressions such as 8y + 3.
- Constant: A fixed value without a variable; e.g., 3 in the expression 8y + 3.
Characteristics of Terms
- Algebraic Expression: A combination of variables, numbers, and operations (like addition or subtraction) without an equal sign.
- Term: Components of an algebraic expression, which include numbers and variables separated by operations. For example, in 4x - 12, both 4x and -12 are distinct terms.
Terms Count in Expressions
- An expression such as 4x - 12 contains two terms.
- The expression 6y consists of one term.
- The expression 3 + 7x + 3x + x contains four terms.
- The expression 6m - 2n + 7 has three terms.
Identifying Like Terms
- Like terms share the same variable part; in the expression 6m - 2n + 7 - m, the like terms are 6m and -m.
- In the expression 2x + 4 - 5x - 8, the like terms are 2x and -5x.
Coefficients and Constants Lists
- For 6m - 2n + 7, the coefficients are 6 and -2.
- In the expression 3 + 7x + 3x + x, the coefficients are 7, 3, and 1.
- The constant in the expression 7x - 3 + x is -3, while in 6m - 2n + 7, it is 7.
Variables Identification
- In the expression 6m - 2n + 7, the variables are m and n.
- In 3 + 7x + 3x + x, the variable present is x.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge on the components of algebraic expressions, including coefficients, variables, and constants. Explore the characteristics of terms and identify like terms in various algebraic expressions. This quiz is designed to reinforce your understanding of fundamental algebra concepts.
