Algebraic Expressions - Practice

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What is a constant in an algebraic expression?

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A constant is a fixed value that does not change. In the expression 7h + 3 + 15d - 2, the constants are 3 and -2.

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable. In the expression 5c + 7d, the coefficients are 5 and 7.

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How do you express a product of variables using exponents?

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You can express repeated multiplication of the same variable using exponents. For example, 2.1 • x • z • z • z • z • z can be written as 2.1xz^5.

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What are the terms in an algebraic expression?

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Terms are the individual parts of an expression separated by plus or minus signs. In the expression g + 12 + 9g, the terms are g, 12, and 9g.

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How do you evaluate an expression with given values for variables?

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To evaluate an expression, substitute the values of the variables into the expression and perform the arithmetic operations. For example, for a + b • 2 with a = 3 and b = 2, the evaluation is 3 + 2 • 2 = 7.

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

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What is the difference between a term and a factor in algebra?

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A term is a single part of an expression, while a factor is a number or variable that is multiplied in a term. For example, in the term 5x, 5 is a coefficient and x is a variable.

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What does it mean to simplify an algebraic expression?

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Simplifying an algebraic expression means to combine like terms and reduce it to its simplest form.

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What are like terms in algebra?

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

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How do you combine like terms?

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To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.