Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes numbers, variables, and operations (such as addition, subtraction, multiplication, and division).

Front

What is a variable in algebra?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an algebraic expression or equation.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 5x, 5 is the coefficient.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What are unlike terms?

Back

Unlike terms are terms that have different variables or different powers of the same variable. For example, 3x and 4y are unlike terms.

Front

How do you simplify the expression 11z - 12z?

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To simplify, combine like terms: 11z - 12z = -1z or -z.

Front

What is the literal coefficient of the term 567817xy?

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The literal coefficient is the variable part of the term, which is xy.

Front

Evaluate the expression 11m when m = 10.

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11m = 11 * 10 = 110.

Front

What is the result of the expression 30 - z when z = 31?

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30 - z = 30 - 31 = -1.

Front

What is the difference between an expression and an equation?

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An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal.