Solving Equations & Proportions

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 proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then isolate the variable.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4

Front

What does it mean if an equation has 'no solution'?

Back

An equation has 'no solution' if there are no values for the variable that can satisfy the equation.

Front

What is the solution to the equation 3x - 5 = 2x + 4?

Back

x = 9

Front

What is the first step in solving the equation 5a - 2 = 3a + 6?

Back

The first step is to isolate the variable by moving all terms involving 'a' to one side.

Front

What is the value of b in the equation 2b + 4 = 20?

Back

b = 8

Front

What does it mean if an equation has 'all real numbers' as a solution?

Back

It means that any real number can satisfy the equation.