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 2(x-7)=22?

Back

First, distribute the 2: 2x - 14 = 22. Then, add 14 to both sides: 2x = 36. Finally, divide by 2: x = 18.

Front

What is the first step in solving the equation 8x + 19 = 75?

Back

Subtract 19 from both sides to isolate the term with the variable: 8x = 56.

Front

What is the solution to the equation 2x + 8 + 3x = 38?

Back

Combine like terms: 5x + 8 = 38. Then, subtract 8 from both sides: 5x = 30. Finally, divide by 5: x = 6.

Front

How do you combine like terms in the equation 4x + 22 + 3x = 57?

Back

Combine 4x and 3x to get 7x: 7x + 22 = 57.

Front

What is the solution to the equation 6x + 36 = 84?

Back

Subtract 36 from both sides: 6x = 48. Then, divide by 6: x = 8.

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve.

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 each term inside a parenthesis.

Front

How do you check your solution for an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable, such as the 8 in 8x.