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 6x - 3 = 27?

Back

Add 3 to both sides to get 6x = 30, then divide by 6 to find x = 5.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true, often resulting in a contradiction.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value for the variable satisfies the equation, often resulting in a true statement for all values.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Solve the equation: 2x + 3(5x - 7) = 47

Back

x = 4.

Front

What is the solution to the equation 3x - x + 4 = 4(2x + 1)?

Back

x = 0.

Front

How do you check if your solution to an equation is correct?

Back

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

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.