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the product of 8 and the sum of 10 and -7

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Q: Write a variable expression the product of thirteen and the sum of a number and ten?
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Write the phrase as a variable expression the product of 9 and a number?

The expression is 9*x.

What is an expression that is a number and a variable or a product of a number and one or more variables?

In Algebra a term is either a single number or variable, or numbers and variables multiplied together.

What is the expression for the sum of thirteen and a number added to the product of seven and the number?

It is: 13+x+7x or as 13+8x

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What is an expression that contains a variable a number and at least one operation?

That looks like the description of an EXPRESSION. However, an expression need not have "at least one operation"; a single number, or variable, is a perfectly valid expression.

What is a number that is multiplied by a variable in an expression?

The number is called the coefficient of the variable

What do you call replacing a variable in an expression by a number?

A variable is a letter that represents a number. An expression that contains at least one variable is called variable expression, also called algebraic expression. A variable expression has one or more terms. A term is a number, a variable, or a product of numbers and variables. For example,3(x^2)y + 2xy + x - 7 is a variable expression, where you have 4 terms.When working with variable expression, you often use the substitution principle:If a = b, then a may be replaced by b in any expression.The set of numbers that a variable may be represent is called replacement set, or domain, of the variable. To evaluate a variable expression, you replace each variable with one of its values and simplify the numerical expression that results.Example: Evaluate the expression 2x - 4y for x = 5 and y = -9.Solution:2x - 4y= 2(5) - 4(-9)= 10 + 36=46

What is the number that is multiplied by the variable in an algebraic expression?

It is the coefficient of the variable