Multi-step Equation Practice

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 does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting 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 set of parentheses.

Front

Solve for x: 2x + 3 = 11.

Back

x = 4.

Front

Solve for n: 5n - 7 = 18.

Back

n = 5.

Front

What is the first step in solving the equation 3(x + 4) = 21?

Back

The first step is to use the distributive property to expand the equation: 3x + 12 = 21.

Front

If 4x = 20, what is the value of x?

Back

x = 5.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting your answer back into the original equation to verify that both sides are equal.

Front

Solve for q: 2q + 5 = -9.

Back

q = -7.