Multi-step Equation Review

Front

What is a multi-step equation?

Back

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

Front

What is the first step in solving the equation 3y - 5 - 5y = 3?

Back

Combine like terms: 3y - 5y = -2y, so the equation becomes -2y - 5 = 3.

Front

How do you isolate the variable in the equation -2y - 5 = 3?

Back

Add 5 to both sides: -2y = 3 + 5, which simplifies to -2y = 8.

Front

What is the next step after -2y = 8 to solve for y?

Back

Divide both sides by -2: y = 8 / -2, which simplifies to y = -4.

Front

What is the solution to the equation 7k - 1 - 6k = -6?

Back

Combine like terms: (7k - 6k) - 1 = -6, which simplifies to k - 1 = -6. Then add 1 to both sides to find k = -5.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you solve the equation 3(x - 6) + 2x = 22?

Back

First, distribute: 3x - 18 + 2x = 22. Then combine like terms: 5x - 18 = 22.

Front

What is the next step after 5x - 18 = 22?

Back

Add 18 to both sides: 5x = 22 + 18, which simplifies to 5x = 40.

Front

How do you find x in the equation 5x = 40?

Back

Divide both sides by 5: x = 40 / 5, which simplifies to x = 8.

Front

What is the solution to the equation 11 = 3x + 8x?

Back

Combine like terms: 11 = 11x. Then divide both sides by 11 to find x = 1.