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What is the coefficient in the term `5p`?
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5
How would you explain the term 'terms' in an algebraic expression?
Parts of an expression that are separated by operations such as addition or subtraction.
Define an algebraic expression.
An expression that contains numbers, operations, and one or more variables.
Why is `3 + 7` not considered an algebraic expression?
Because it does not contain any variables.
Evaluate the expression `3x - 14` when `x = 5`.
1
Simplify the expression `1.5 × h × h × h`.
`1.5h³`
Convert `1.5h^3` back to its unsimplified form.
`1.5 × h × h × h`
What is a constant in the context of an algebraic expression?
A term with no variable that does not change.
Give an example of an algebraic expression.
`3x + 4`
What is a variable in the context of algebraic expressions?
A symbol, usually a letter like `x`, `y`, or `p`, that represents one or more numbers and can vary or change.
Provide an example of a term with a variable and a coefficient.
`5x` (where 5 is the coefficient and `x` is the variable)
Why is `3x + 4 = 10` not an algebraic expression?
Because it contains an equal sign, which makes it an equation.
Identify the terms in the expression `5x + 13`.
`5x` and `13`
What differentiates a numerical expression from an algebraic expression?
A numerical expression contains only numbers and operations, whereas an algebraic expression also includes variables.
Identify the constant in the expression `5x + 13`.
13
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