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, often involving operations such as addition, subtraction, multiplication, and division.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value for the variable satisfies the equation, indicating that the two sides of the equation are equivalent for all values.

Front

What does it mean if an equation has no solution?

Back

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

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

Solve for b: -11 + 3(b + 5) = 7

Back

b = 1

Front

Solve for x: x + 7g = 9

Back

x = 9 - 7g

Front

What is the first step in solving the equation 4x + 10 = -26?

Back

Subtract 10 from both sides to begin isolating the variable.

Front

What is the solution to the equation 4x + 10 = -26?

Back

x = -9

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

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.