solving equations

Front

What is the first step to solve the equation 97 = -3(6n - 5) - 8?

Back

Distribute -3 to both terms inside the parentheses.

Front

How do you isolate the variable in the equation k/4 + 3 = 14?

Back

Subtract 3 from both sides and then multiply by 4.

Front

What does it mean to distribute in an equation?

Back

To multiply each term inside the parentheses by the factor outside.

Front

What is the solution to the equation -4x + 3(5x + 10) = -36?

Back

x = -6.

Front

How do you combine like terms in the equation -5x + 5 = 35?

Back

Move the constant to the other side and simplify.

Front

What is the purpose of solving equations?

Back

To find the value of the variable that makes the equation true.

Front

What is the result of distributing -3 in the equation -3(6n - 5)?

Back

-18n + 15.

Front

What is the next step after distributing in an equation?

Back

Combine like terms and isolate the variable.

Front

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

Back

Substitute the solution back into the original equation.

Front

What is the importance of understanding like terms in algebra?

Back

It allows for simplification of expressions and easier solving of equations.