Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 4x + 3 = -5?

Back

Subtract 3 from both sides to isolate the term with the variable: 4x = -5 - 3.

Front

What is the solution to the equation 4x + 3 = -5?

Back

x = -2.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

Front

What is the formula for the total cost of hiring a mechanic who charges a flat fee and an hourly rate?

Back

y = mx + b, where m is the hourly rate, x is the number of hours, and b is the flat fee.

Front

If a mechanic charges $15 flat fee and $65 per hour, what is the equation for total cost?

Back

y = 65x + 15.

Front

What does the variable 'y' represent in the equation y = 25x + 40?

Back

'y' represents the total cost of hiring the plumber.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable by itself.

Front

What is the solution to the equation 3x + 7 = -8?

Back

x = -5.