Multi-step Equations Review

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 + 4x = 27?

Back

Combine like terms: 6x - 3 = 27. Then add 3 to both sides: 6x = 30. Finally, divide by 6: x = 5.

Front

What is the first step to solve the equation 10(h+1)-4=76?

Back

Distribute 10: 10h + 10 - 4 = 76, which simplifies to 10h + 6 = 76.

Front

How do you isolate the variable in the equation -11 + 3(b + 5) = 7?

Back

First, distribute 3: -11 + 3b + 15 = 7. Then combine like terms: 3b + 4 = 7. Subtract 4 from both sides: 3b = 3, and finally divide by 3: b = 1.

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

What is the solution to the equation -(n - 8) = -2?

Back

Distribute the negative: -n + 8 = -2. Then subtract 8 from both sides: -n = -10. Finally, multiply by -1: n = 10.

Front

How do you solve the equation 4x + 10 = -26?

Back

Subtract 10 from both sides: 4x = -36. Then divide by 4: x = -9.

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

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.