Simplifying Algebraic Expressions

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, in the expression 5b + 3b, both terms are like terms because they both contain the variable 'b'.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that are alike. For example, in 5b + 3b, you add the coefficients (5 + 3) to get 8b.

Front

Simplify the expression: 5b + 9 + 3b

Back

8b + 9

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Combine the like terms: 3x + 2x + 3y - 7y

Back

5x - 4y

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

Simplify the expression using the distributive property: 2(4X - 7)

Back

8x - 14

Front

What is the solution to the equation: 4x + 10 = -26?

Back

-9

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

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Back

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 + 5 is an algebraic expression.