Writing Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

Front

What does the variable 'm' represent in the expression 40 + 10m?

Back

In the expression 40 + 10m, 'm' represents the number of months.

Front

How do you write an algebraic expression for the total cost of a gym membership with a one-time fee and a monthly fee?

Back

The expression is written as: One-time fee + (Monthly fee × Number of months) = 40 + 10m.

Front

What is the coefficient in the expression 3s + 4s?

Back

The coefficient is the number that multiplies the variable. In this case, the coefficients are 3 and 4.

Front

How do you combine like terms in the expression 3s + 4s?

Back

You add the coefficients of the like terms: 3s + 4s = (3 + 4)s = 7s.

Front

What does the expression (g + 5) + g represent?

Back

It represents the total distance Sarah and Grant travel to school, where g is the distance Grant lives from school.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 10 + 2x, the constant is 10.

Front

How do you express the number of prizes in each bag if there are 92 prizes and b bags?

Back

The expression is written as: Total prizes ÷ Number of bags = 92 ÷ b.

Front

What is the difference between a variable and a constant?

Back

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

Front

What is the purpose of using algebraic expressions?

Back

Algebraic expressions are used to represent real-world situations mathematically, allowing for problem-solving and analysis.