Solving Equations Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation -8 + 5x - 2 = 20?

Back

Combine like terms on the left side: -10 + 5x = 20.

Front

How do you isolate the variable in the equation 5x = 30?

Back

Divide both sides by 5 to get x = 6.

Front

What is the solution to the equation 3m - 4 - 5m = 10?

Back

m = -7.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

Solve for x: x + 2x + 5 + x = 25.

Back

x = 5.

Front

What is the solution to the equation 2y + 7 = 11?

Back

y = 2.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation.