Exercise 7f ALGERAIC EXPERSSIONS

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 2 is an algebraic expression.

Front

What does it mean to subtract one algebraic expression from another?

Back

Subtracting one algebraic expression from another involves taking the second expression and changing the signs of its terms before combining like terms.

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 2x = 5x.

Front

What is the process of finding the sum of algebraic expressions?

Back

To find the sum, add the corresponding coefficients of like terms from each expression.

Front

What is the result of subtracting 8a - 3b + 5c - 2d from 10a - b - 4c - 6d?

Back

2a + 2b - 9c - 4d.

Front

What is the result of finding the sum of 5x - 4y, 6y - 7z, and 3z - 4x?

Back

x + 2y - 4z.

Front

What is the result of finding the sum of 4a + 6b + 5c, -3a - 9b, and a + 3b - 4c?

Back

2a + c.

Front

What is the result of subtracting 2q - 3r - s from p - 4q - 6r?

Back

p - 6q - 3r + s.

Front

What is the result of finding the sum of 3x²y + xy - xy², 5x²y + 2xy - 7xy², and 2x²y + 7xy + 9xy²?

Back

10x²y + 10xy + xy².