Solving Multi-Step Linear Equations

Front

What is a multi-step linear equation?

Back

A multi-step linear equation is an equation that requires more than one step to solve, involving operations such as addition, subtraction, multiplication, and division to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

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

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: -5(x + 3) = 2(x - 5)

Back

x = -\frac{5}{7}

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 8v - 4(v + 8) = 8?

Back

Distribute -4 to both terms inside the parentheses: 8v - 4v - 32 = 8.

Front

Solve: 4(2x - 1) + 10 = 3(x - 3)

Back

x = -3

Front

What is the solution to the equation 3x - 5 = -26?

Back

x = -7

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 variable in an equation?

Back

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