Understanding Expressions and Properties Flashcard

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x

Answer explanation

In the expression 3x + 5, 'x' is the variable that represents an unknown value. The numbers 3 and 5 are constants, and '+' is an operator, making 'x' the only variable in the expression.

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Constant

Answer explanation

The term for a number that stands alone in an expression, like the 7 in 2y + 7, is called a constant. It does not change and is not multiplied by a variable, unlike coefficients which are attached to variables.

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3

Answer explanation

The expression 4a + 2b - 6 consists of three distinct parts: 4a, 2b, and -6. Each part is a term, so there are a total of 3 terms in the expression. Therefore, the correct answer is 3.

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Which of the following best describes a coefficient? Options: The number added to a variable, The number multiplied by a variable, The variable itself, The answer to an equation

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The number multiplied by a variable

Answer explanation

A coefficient is the number that is multiplied by a variable in an expression. Therefore, the correct choice is 'The number multiplied by a variable', as it accurately defines what a coefficient is.

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What is the distributive property?

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Answer explanation

The distributive property states that multiplying a number by a sum is the same as doing each multiplication separately. Thus, a(b + c) = ab + ac is the correct representation of this property.

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Answer explanation

An equation is a mathematical statement that asserts the equality of two expressions. The correct choice, 2a + 4 = 10, is an equation because it includes an equals sign, indicating a relationship between the two sides.

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Answer explanation

To combine like terms, group the 'y' terms: 4y - 2y = 2y. Then, combine the constant terms: 7 + 3 = 10. Thus, the simplified expression is 2y + 10, which matches the correct answer.

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Answer explanation

The distributive property states that a(b + c) = ab + ac. Applying this to 3(x + 4) gives 3*x + 3*4 = 3x + 12. Thus, the correct expression is 3x + 12.

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Answer explanation

The coefficient in the term -7m is the numerical factor that multiplies the variable m. Here, -7 is the number in front of m, making the correct answer -7.