Multi Step Equations Flashcard

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve for the variable. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

How do you solve the equation 5x - 4 + 2x = 3?

Back

Combine like terms: 7x - 4 = 3. Then add 4 to both sides: 7x = 7. Finally, divide by 7: x = 1.

Front

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

Back

Checking your solution means substituting the value back into the original equation to ensure both sides are equal.

Front

What is the first step in solving the equation -(n - 8) = -2?

Back

Distribute the negative sign: -n + 8 = -2.

Front

How do you isolate the variable in the equation -n + 8 = -2?

Back

Subtract 8 from both sides: -n = -10, then multiply by -1: n = 10.

Front

In the problem about raking leaves, what is the fixed charge?

Back

The fixed charge is $12 for coming to rake the leaves.

Front

If you made $57 in total for raking leaves, how do you find the number of hours worked?

Back

Subtract the fixed charge from the total: $57 - $12 = $45. Then divide by the hourly rate: $45 / $9 = 5 hours.

Front

What is the solution to the equation -48 + 12 + x = -12?

Back

Combine like terms: -36 + x = -12. Then add 36 to both sides: x = 24.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you combine like terms in an equation?

Back

Identify terms that have the same variable and exponent, then add or subtract their coefficients.