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 4x - 7 = 21?

Back

Add 7 to both sides to isolate the term with the variable.

Front

What is the solution to the equation 4x - 7 = 21?

Back

x = 7.

Front

What is the purpose of adding or subtracting the same number from both sides of an equation?

Back

It maintains the equality of the equation while isolating the variable.

Front

What is the next step after solving 5b - 6 = 24 by adding 6 to both sides?

Back

Divide both sides by 5 to solve for b.

Front

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

Back

Subtract 11 from both sides.

Front

What is the solution to the equation 0 = 8z + 8?

Back

z = -1.

Front

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

Back

c = 6.

Front

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

Back

To isolate a variable means to manipulate the equation so that the variable is on one side by itself.