Solving Equations Flashcard 2

Front

What is the first step to solve the equation - (n - 8) = -2?

Back

Distribute the negative sign: n - 8 = 2.

Front

How do you isolate the variable in the equation 5x + 12 = -13?

Back

Subtract 12 from both sides: 5x = -25, then divide by 5: x = -5.

Front

What is the solution to the equation 13y - 18 = -5y + 36?

Back

Combine like terms: 18y = 54, then divide by 18: y = 3.

Front

What does it mean to check your answer after solving an equation?

Back

Substitute the solution back into the original equation to verify it holds true.

Front

What is the definition of a variable in an equation?

Back

A symbol (like x or y) that represents an unknown value.

Front

What is the purpose of balancing an equation?

Back

To maintain equality by performing the same operation on both sides.

Front

What does it mean to distribute in algebra?

Back

To multiply each term inside a parenthesis by the term outside.

Front

What is the solution to the equation 2(x + 3) = 14?

Back

First distribute: 2x + 6 = 14, then isolate x: x = 4.

Front

What is the definition of an equation?

Back

A mathematical statement that asserts the equality of two expressions.

Front

How do you solve the equation 4x - 7 = 9?

Back

Add 7 to both sides: 4x = 16, then divide by 4: x = 4.