Front

What is the first step in solving the equation 8v - 4(v + 8) = 8?

Back

Distribute -4 to both terms inside the parentheses: 8v - 4v - 32 = 8.

Front

How do you isolate the variable in the equation 2(4x - 3) - 8 = 4 + 2x?

Back

Combine like terms and move all terms involving x to one side and constant terms to the other side.

Front

What is the solution to the equation -3a + 8 = 14?

Back

Subtract 8 from both sides to get -3a = 6, then divide by -3 to find a = -2.

Front

What does it mean to solve the equation 7(2x - 4) = 42?

Back

It means to find the value of x that makes the equation true.

Front

What is the process to solve 2(2x + 3) = -6(x + 9)?

Back

Distribute both sides, combine like terms, and isolate x.

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the importance of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation and is correct.

Front

What does it mean to combine like terms in an equation?

Back

To simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

v = 10.

Front

How do you solve for x in the equation 2(4x - 3) - 8 = 4 + 2x?

Back

x = 3.