multistep equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve. It often involves combining like terms, using inverse operations, and isolating the variable.

Front

What is the first step to solve the equation 4 = 2(x + 3)?

Back

The first step is to distribute the 2 to both terms inside the parentheses: 4 = 2x + 6.

Front

How do you isolate the variable in the equation 2x - 3 + 4x = 27?

Back

Combine like terms (2x + 4x = 6x) to get 6x - 3 = 27, then add 3 to both sides to isolate the term with the variable.

Front

What is the solution to the equation 3w = 30?

Back

To solve for w, divide both sides by 3: w = 30 / 3 = 10.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the solution to the equation 3y + 6 + 4y - 7 = -8?

Back

Combine like terms (3y + 4y = 7y) to get 7y - 1 = -8, then add 1 to both sides and divide by 7 to find y = -1.

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

What is the solution to the equation 2x + 5 = 15?

Back

Subtract 5 from both sides to get 2x = 10, then divide by 2 to find x = 5.

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 5x - 2 = 3x + 6?

Back

Subtract 3x from both sides to get 2x - 2 = 6, then add 2 to both sides and divide by 2 to find x = 4.