Multi Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

How do you solve the equation: 2x + 3 = 11?

Back

Step 1: Subtract 3 from both sides: 2x = 8. Step 2: Divide both sides by 2: x = 4.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve for x: 3(x - 2) = 12.

Back

Step 1: Distribute 3: 3x - 6 = 12. Step 2: Add 6 to both sides: 3x = 18. Step 3: Divide by 3: x = 6.

Front

What does it mean to isolate a variable?

Back

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

Front

Solve the equation: 5x + 2 = 3x + 10.

Back

Step 1: Subtract 3x from both sides: 2x + 2 = 10. Step 2: Subtract 2 from both sides: 2x = 8. Step 3: Divide by 2: x = 4.

Front

What is combining like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for y: 4y - 5 = 3y + 10.

Back

Step 1: Subtract 3y from both sides: y - 5 = 10. Step 2: Add 5 to both sides: y = 15.

Front

What is the first step in solving a multi-step equation?

Back

The first step is often to simplify both sides of the equation by combining like terms or using the distributive property.

Front

Solve the equation: 2(x + 4) = 16.

Back

Step 1: Distribute 2: 2x + 8 = 16. Step 2: Subtract 8 from both sides: 2x = 8. Step 3: Divide by 2: x = 4.