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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone 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 (x/4) + 10 = 34?

Back

Subtract 10 from both sides to isolate the term with x: (x/4) = 24.

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

x = 1.

Front

How do you check if a number is a solution to an equation?

Back

To check if a number is a solution, substitute it back into the original equation and see if both sides are equal.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6.

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.

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 two or more terms inside a set of parentheses.

Front

How do you solve the equation (2x - 3) / 4 = 9?

Back

Multiply both sides by 4 to eliminate the fraction, then solve for x: 2x - 3 = 36, leading to x = 19.5.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.