Multi-step Equation Flashcard

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 isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable by itself on one side of the equation. This may involve adding, subtracting, multiplying, or dividing both sides of the equation.

Front

What is the first step to solve the equation 5x - 14 = 8x + 4?

Back

The first step is to get all terms involving x on one side and constant terms on the other side. You can do this by subtracting 5x from both sides.

Front

Solve the equation: 5x - 14 = 8x + 4

Back

x = -6

Front

What is the solution to the equation 13 = 5m - 2?

Back

m = 3

Front

How do you solve the equation x/3 = 4?

Back

Multiply both sides by 3 to isolate x. Thus, x = 12.

Front

What is the solution to the equation 4p = 16?

Back

p = 4

Front

How do you solve the equation 10x + 9 = 4x - 9?

Back

First, combine like terms by subtracting 4x from both sides and then subtracting 9 from both sides. The solution is x = -3.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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.