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 -11 + 3(b + 5) = 7?

Back

The first step is to simplify the left side by distributing the 3: -11 + 3b + 15 = 7.

Front

What is the solution to the equation 2y + 7 = 11?

Back

y = 2.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 2g - 3 + 4g = 27?

Back

g = 5.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation f + 12 = 3f - 20?

Back

f = 16.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the solution to the equation 2 + 14a = -8 + 9a?

Back

a = -2.