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, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, 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 8v - 4(v + 8) = 8?

Back

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

Front

What does it mean to combine like terms?

Back

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

Front

Solve for v: 8v - 4(v + 8) = 8.

Back

v = 10.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming it is correct.

Front

How do you solve the equation 30 + 6t = 11t?

Back

Subtract 6t from both sides to get 30 = 5t, then divide by 5 to find t = 6.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

x = 5.

Front

What is the process to solve for x in the equation 2x + 18 - 1 = 33?

Back

Combine like terms to get 2x + 17 = 33, then isolate x to find x = 8.

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term by each term inside parentheses.