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 the first step in solving the equation 3x - 5 = 20?

Back

Add 5 to both sides to isolate the term with the variable.

Front

What is the solution to the equation 3c + 5 = 23?

Back

c = 6.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows us to find its value by getting it alone on one side of the equation.

Front

What operation would you use to eliminate -5 in the equation 3x - 5 = 20?

Back

You would add 5 to both sides.

Front

What is the solution to the equation 7k - 14 = 42?

Back

k = 8.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation 2x + 4 = 10?

Back

x = 3.

Front

What is the first step in solving the equation 4a - 8 = 0?

Back

Add 8 to both sides.