Equation Solving

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 the first step in solving the equation -3a + 8 = 14?

Back

Subtract 8 from both sides to isolate the term with the variable.

Front

What is the solution to the equation -5t + 9 = 24?

Back

t = -3.

Front

What is the first step in solving the equation 5x + 7 = 12?

Back

Subtract 7 from both sides.

Front

What is the solution to the equation 7(2x - 4) = 42?

Back

x = 5.

Front

What is the first step to solve the equation -3x + 11 = 44?

Back

Subtract 11 from both sides.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the purpose of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation.