Solving Equations

Front

What is the first step in solving the equation 33 = 4a - 7?

Back

Add 7 to both sides to isolate the term with 'a': 33 + 7 = 4a.

Front

How do you isolate 'a' in the equation 4a = 40?

Back

Divide both sides by 4: a = 40 / 4.

Front

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

Back

v = 10.

Front

What does it mean if an equation has 'no solution'?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

b = 1.

Front

What is the process to solve the equation 3r - 5 = 2r?

Back

Subtract 2r from both sides: r - 5 = 0, then add 5 to both sides: r = 5.

Front

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

Back

a = -2.

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

Back

It means to simplify the equation by adding or subtracting terms that have the same variable and exponent.

Front

What is the importance of checking your solution in an equation?

Back

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