Advanced Math - Equivalent Expressions(10Hard)

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value for all values of the variable(s) involved.

Front

How do you simplify the expression 3(x + 4)?

Back

3(x + 4) = 3x + 12.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you combine like terms in the expression 2x + 3x + 4?

Back

2x + 3x + 4 = 5x + 4.

Front

What is the result of the expression 5(x - 2) + 3x?

Back

5(x - 2) + 3x = 5x - 10 + 3x = 8x - 10.

Front

What is the purpose of using parentheses in expressions?

Back

Parentheses indicate which operations to perform first in an expression.

Front

How do you identify like terms in the expression 4a + 5b + 2a?

Back

Like terms are terms that have the same variable raised to the same power. Here, 4a and 2a are like terms.

Front

What is the result of the expression 2(x + 3) - 4?

Back

2(x + 3) - 4 = 2x + 6 - 4 = 2x + 2.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they yield the same value for all values of the variable(s).