Equations with Like Terms

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 2x + 3x = 5x.

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

Front

Simplify the expression: 4x + 2x - x.

Back

The simplified expression is 5x.

Front

Combine the like terms: 8y - 3y + 2y.

Back

The result is 7y.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

The first step is to isolate the variable by subtracting 3 from both sides, resulting in 2x = 8.

Front

Solve for x: 5x + 10 = 35.

Back

x = 5.

Front

What does it mean to simplify an equation?

Back

Simplifying an equation means to combine like terms and reduce it to its simplest form.

Front

Combine the like terms: 6a + 4b - 2a + 3b.

Back

The result is 4a + 7b.

Front

What is the solution to the equation 3x - 4 = 5?

Back

x = 3.