Solving One and Two step 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 a one-step equation?

Back

A one-step equation is an equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

What is a two-step equation?

Back

A two-step equation is an equation that requires two operations to isolate the variable.

Front

How do you solve the equation 3(x-4) = -3?

Back

First, distribute 3 to get 3x - 12 = -3. Then, add 12 to both sides to get 3x = 9. Finally, divide by 3 to find x = 3.

Front

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

Back

Subtract 5 from both sides to isolate y, resulting in y = 7.

Front

How do you solve the equation x - 2 = -8?

Back

Add 2 to both sides to isolate x, resulting in x = -6.

Front

What is the solution to the equation 8n = 16?

Back

Divide both sides by 8 to find n = 2.

Front

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

Back

Subtract 7 from both sides to isolate the term with x, resulting in 5x = 5.

Front

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

Back

Isolating the variable allows us to find its value, which satisfies the equation.