Write an algebraic expression to model the unknown number problem.

the product of a number and fifteen

A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.

Which statements are true? Select that all apply.
You can replace ‘a number’ with a variable to represent an unknown value.
The product means the result of adding two numbers.
Product means the result of multiplying two numbers.
The coefficient is 15.
In algebraic notation, you can represent the product of a number and a variable by writing the number and variable next to each other.

Answer:

A. You can replace ‘a number’ with a variable to represent an unknown value.

C. Product means the result of multiplying two numbers.

D. The coefficient is 15.

E. In algebraic notation, you can represent the product of a number and a variable by writing the number and variable next to each other.

Step-by-step explanation:

EDGE 2020

The algebraic expression to model that "the product of a number and fifteen" is 15x, where x represents the unknown number. The statements A, C, and D are true.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The algebraic expression to model the unknown number problem "the product of a number and fifteen" is 15x, where x represents the unknown number.

From the given options, the following statements are true:

A. You can replace ‘a number’ with a variable to represent an unknown value.

C. Product means the result of multiplying two numbers.

D. The coefficient is 15.

B. is false because the product means the result of multiplying two numbers, not adding them.

E. is not necessarily true for all cases. The product of a number and a variable can be represented in different ways depending on the context and convention, such as using a dot or parentheses.

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