Solving 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

What is the first step in solving the equation 2x - 3 + 4x = 27?

Back

Combine like terms: 2x + 4x = 6x, so the equation becomes 6x - 3 = 27.

Front

How do you isolate the variable in the equation x/3 + 10 = 15?

Back

Subtract 10 from both sides to get x/3 = 5, then multiply both sides by 3 to find x = 15.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parentheses.

Front

Solve the equation 38 + 7k = 8(k + 4). What is k?

Back

First, distribute: 38 + 7k = 8k + 32. Then, subtract 7k from both sides: 38 = k + 32. Finally, subtract 32 from both sides: k = 6.

Front

What is the solution to the equation 4x - 9x + 3 = -32?

Back

Combine like terms: -5x + 3 = -32. Subtract 3 from both sides: -5x = -35. Divide by -5: x = 7.

Front

How do you solve the equation 5(x - 3) + 2x = 27?

Back

Distribute: 5x - 15 + 2x = 27. Combine like terms: 7x - 15 = 27. Add 15 to both sides: 7x = 42. Divide by 7: x = 6.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming that it is correct.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the goal when solving an equation?

Back

The goal is to isolate the variable on one side of the equation to find its value.