Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing 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 a variable in an equation?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value in an equation.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other side.

Front

What is the first step in solving the equation 2x + 3 = 7?

Back

The first step is to subtract 3 from both sides of the equation.

Front

What is the solution to the equation 3x = -0.6?

Back

The solution is x = -0.2.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal over 1, multiply the numerator and denominator by 10 for each digit after the decimal, and simplify.

Front

What is the solution to the equation 4x = 3?

Back

The solution is x = 3/4.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with their respective values.