Algebra-I Flashcards

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

An algebraic expression always contains a variable.

True

Only ___________ terms can be added or subtracted in an algebraic expression.

A number multiplied with a variable is called a ____________.

co-efficient

6x and 6y are like terms.

False Signup and view all the answers

5y + 3 is a numerical expression.

False Signup and view all the answers

-10 - 2 = _________

-12 Signup and view all the answers

4 + (2 + 1) = _________

7 Signup and view all the answers

29y and -3y are like terms.

True Signup and view all the answers

What are the two conditions for algebraic terms to be like terms?

They should have the same variable and the same exponent. Signup and view all the answers

In PEMDAS, E stands for explanation.

False Signup and view all the answers

Define constant in an algebraic expression.

A constant is an integer that stands by itself without a variable. It can also be a fraction or a decimal. Signup and view all the answers

Using the multiplication table, give the perfect square of 7.

49 Signup and view all the answers

Using the multiplication table, give the square root of 256.

16 Signup and view all the answers

Can you add 3y and 13x? Why not?

No, because they are unlike terms. Signup and view all the answers

What is the distributive property of multiplication?

Distributive property of multiplication means that the term outside the parenthesis is multiplied with every term inside the parenthesis. Signup and view all the answers

Define algebraic expression.

A mathematical expression that contains one or more variables and at least one operation is called an algebraic expression. Signup and view all the answers

Define numerical expression.

A mathematical expression that contains only numbers and at least one operation is called a numerical expression. Signup and view all the answers

Identify the operation in 5/2.

Division Signup and view all the answers

Identify the terms in 3x + 5 - 3y.

There are 3 terms: 3x, 5, -3y Signup and view all the answers

Identify the coefficient in z + 12.

The coefficient is 1 because when there is no number with a variable, there is always an invisible 1. Signup and view all the answers

Study Notes

Algebraic Expressions

An algebraic expression must contain at least one variable.
Terms can only be added or subtracted if they are like terms, meaning they share the same variable and exponent.

Terms and Coefficients

A term multiplied by a variable is referred to as a coefficient.
Unlike terms cannot be combined; for example, 6x and 6y are unlike due to different variables.

Numerical vs. Algebraic Expressions

An expression like 5y + 3 is algebraic, not numerical, because it contains a variable.
A numerical expression consists solely of numbers, such as 5/2, which is identified as a division operation.

Operations and Properties

Parentheses indicate that operations within them should be solved first, e.g., 4 + (2 + 1) equals 7.
The distributive property allows the multiplication of a single term with all terms inside parentheses.

Constants and Perfect Squares

A constant is a standalone integer, fraction, or decimal without a variable.
The perfect square of 7, derived from multiplication, is 49, while the square root of 256 is 16.

Identifying Terms and Coefficients

In the expression 3x + 5 - 3y, there are three terms: 3x, 5, and -3y.
Coefficients can be identified even when not explicitly stated; for instance, in z + 12, the coefficient of z is 1.

PEMDAS and Operations

In PEMDAS, "E" refers to exponents, not explanation, maintaining the order of operations in calculations.

Combining Like Terms

Terms must be like terms to be combined; for instance, 3y and 13x cannot be added together as they do not share the same variable.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Test your knowledge of Algebra-I concepts with these flashcards. Each card provides a definition or statement related to algebraic expressions and terms. It's a great way to reinforce your understanding of algebraic fundamentals.