Study Guide 2-4 (RC)

Front

What is the error in the expression: 2x + 3x?

Back

The error is in adding 2x to 3x, which should be combined to 5x.

Front

What is the first mistake in the equation when distributing a number?

Back

The first mistake is dividing by -50 instead of correctly distributing the number.

Front

What is the result of combining like terms: 4x + 5x?

Back

The result is 9x.

Front

What does it mean to distribute in algebra?

Back

To distribute means to multiply a term by each term inside a parenthesis.

Front

What is the correct way to solve the equation: 5(x + 2) = 25?

Back

First, distribute the 5 to get 5x + 10 = 25, then subtract 10 from both sides.

Front

What is the principle of isolating a variable?

Back

Isolating a variable means to get the variable alone on one side of the equation.

Front

What is the error in subtracting 5 from both sides of an equation?

Back

Subtracting 5 from both sides is not an error unless it is done incorrectly in context.

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

What is the result of dividing both sides of an equation by zero?

Back

Dividing by zero is undefined and cannot be done.

Front

What is the correct order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).