Solving Equations

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 (2x - 3) / 4 = 9?

Back

Multiply both sides by 4 to eliminate the fraction.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 33 = 4a - 7?

Back

a = 10.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides to isolate x, resulting in x ≤ 8.

Front

What does it mean when 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 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 is the solution to the equation -3a + 8 = 14?

Back

a = -2.