L5.1-5.2 Review Big Ideas Math-6th grade

Front

What are coefficients in an algebraic expression?

Back

Coefficients are the numerical factors in terms of an algebraic expression. For example, in the expression 4x + y + 8, the coefficients are 4 (for x) and 1 (for y).

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What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 3x^2 + 5y + 11, the constant is 11.

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How do you write an expression for the total cost of renting a paddleboard?

Back

The expression is C = 15 + 12h, where C is the total cost and h is the number of hours rented.

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How do you evaluate an expression when given a value for the variable?

Back

To evaluate an expression, substitute the given value for the variable and perform the arithmetic operations. For example, to evaluate y^2 + 9 when y = 4, substitute 4 for y: 4^2 + 9 = 16 + 9 = 25.

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What does it mean to write an expression using exponents?

Back

Writing an expression using exponents means to express repeated multiplication in a compact form. For example, 7 * 7 * t * t * t * t can be written as 7^2 * t^4.

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What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value and can change, while a constant is a fixed value that does not change.

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What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 2 is an algebraic expression.

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How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power. For example, in 3x + 4x, combine to get 7x.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both multiplied together. For example, in the expression 4x + 5, there are two terms: 4x and 5.