Solve for X and Equivalent Equations

Front

What is the process of simplifying an expression?

Back

The process of simplifying an expression involves combining like terms, applying the distributive property, and reducing fractions to their simplest form.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you simplify the expression 6 + 2(7x - 3)?

Back

To simplify, apply the distributive property: 6 + 14x - 6 = 14x.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

How do you find an equivalent expression for (2ab)³?

Back

Use the power of a product rule: (2ab)³ = 2³ * a³ * b³ = 8a³b³.

Front

What is the result of simplifying -4(3x - 6) + 15x?

Back

Distributing gives -12x + 24 + 15x, which simplifies to 3x + 24.

Front

What is the power of a power rule in exponents?

Back

The power of a power rule states that (a^m)^n = a^(m*n).

Front

What is the equivalent expression for 5(a + 6)?

Back

Using the distributive property, 5(a + 6) = 5a + 30.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

What is the first step in solving an equation for x?

Back

The first step is to isolate the variable on one side of the equation, often by using inverse operations.