Solving Equations & Inequalities

Front

What is an equation?

Back

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

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 equation m - 37 = 124?

Back

Add 37 to both sides: m = 124 + 37 = 161.

Front

What is the first step to solve y + 13 = 24?

Back

Subtract 13 from both sides: y = 24 - 13 = 11.

Front

Solve for x: x + 12.2 = 28.

Back

Subtract 12.2 from both sides: x = 28 - 12.2 = 15.8.

Front

What does the inequality 15 + f ≥ 35 mean?

Back

It means that the value of f must be at least 20 for the inequality to hold true.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable by itself.

Front

What is the solution to the equation r - 8 = 15?

Back

Add 8 to both sides: r = 15 + 8 = 23.

Front

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

Back

To verify that the solution satisfies the original equation.

Front

What does it mean to solve an inequality?

Back

To find all values of the variable that make the inequality true.