Solve for x

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms, while 2x and 2y are not.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of the terms that have the same variable. For example, 2x + 3x = 5x.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parentheses.

Front

How do you solve the equation x - 7 = 20?

Back

To solve for x, add 7 to both sides of the equation: x - 7 + 7 = 20 + 7, which simplifies to x = 27.

Front

What is the solution to the equation 12 = x + 3?

Back

To solve for x, subtract 3 from both sides: 12 - 3 = x + 3 - 3, which simplifies to x = 9.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and perform any operations to reduce it to its simplest form.

Front

What is the result of combining the like terms 2x + 3 + x - 1?

Back

The result is 3x + 2.

Front

How do you apply the distributive property to the expression 3(2x + 1 + 4x)?

Back

First, distribute 3 to each term inside the parentheses: 3 * 2x + 3 * 1 + 3 * 4x = 6x + 3 + 12x, which simplifies to 18x + 3.

Front

What is the first step in solving the equation x + 5 = 12?

Back

The first step is to subtract 5 from both sides of the equation: x + 5 - 5 = 12 - 5, which simplifies to x = 7.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.