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 isolate the variable and solve for its value.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step in solving the equation 6x + 28 = 12 + 2x?

Back

The first step is to get all terms involving x on one side and constant terms on the other side.

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

The solution is x = 4.

Front

How do you simplify the expression 3(5x - 7)?

Back

You distribute 3 to both terms inside the parentheses: 3 * 5x - 3 * 7 = 15x - 21.

Front

What is the value of h in the equation 10(h+1)-4=76?

Back

The value of h is 7.

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

How do you solve the equation 5b + 3(b - 5) = 1?

Back

First, distribute 3 to both terms in the parentheses, then combine like terms and isolate b.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the process of solving for x in the equation 6x + 28 = 12 + 2x?

Back

Subtract 2x from both sides, then subtract 28 from both sides, and finally divide by 4.