Multistep Equations

Front

What is a multistep equation?

Back

A multistep 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 -19 = -8 (-4+a) - (2a+1)?

Back

Distribute -8 to both terms inside the parentheses: -19 = 32 - 8a - 2a - 1.

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 the equation: 3(3x - 6) = 18.

Back

x = 4.

Front

What is the solution to the equation 2x - 3 = -2x + 9?

Back

x = 3.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 4(a + 3) = -32?

Back

a = -11.

Front

What is the process of solving the equation -15 = 5a + 12 - 2a + 6?

Back

Combine like terms to get -15 = 3a + 18, then isolate a to find a = -11.

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.