Translating expressions and equations

Front

What is the formula to calculate the total amount saved after a certain number of weeks if you start with an initial amount and save a fixed amount each week?

Back

Total Amount = Initial Amount + (Amount Saved per Week * Number of Weeks)

Front

How do you set up an equation to find the total cost of a service that charges a fixed fee plus a variable fee based on hours worked?

Back

Total Cost = Fixed Fee + (Hourly Rate * Number of Hours Worked)

Front

What is the equation to represent the relationship between hourly wage and total earnings?

Back

Total Earnings = Hourly Wage * Hours Worked

Front

How do you express the difference of a multiple of a variable and a constant in algebraic form?

Back

If 'x' is the variable and 'c' is the constant, it is expressed as: Multiple * x - c

Front

What is the process to find an unknown age when given a relationship between two people's ages?

Back

Set up an equation based on the relationship, substitute known values, and solve for the unknown.

Front

What does the term 'variable' mean in algebra?

Back

A variable is a symbol (often a letter) that represents an unknown value in mathematical expressions or equations.

Front

What is the significance of the constant in an equation?

Back

A constant is a fixed value that does not change, and it can represent initial amounts, fixed costs, or specific quantities in equations.

Front

How do you translate a word problem into a mathematical equation?

Back

Identify the quantities involved, determine the relationships between them, and express these relationships using mathematical symbols.

Front

What is the meaning of 'solving for x' in an equation?

Back

It means to find the value of the variable 'x' that makes the equation true.

Front

How can you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.