Solving equations, inequalities and systems

Front

What is the inverse operation of Subtraction?

Back

Addition

Front

Find the error in the problem below: 19 - 2k = 3k - 1; +3k; 19 + 1k = -1; -19; k = -20

Back

Instead of adding 3k they should subtract 3k.

Front

When do you have to flip the inequality symbol?

Back

When you multiply or divide by a negative number.

Front

What is the solution to the system of equations: 2x + 3y = 5 and x - y = 2?

Back

(1, -1)

Front

How do you know when you need to distribute?

Back

There are parenthesis.

Front

What is the solution to the equation: 3x - 7 = 2?

Back

x = 3.

Front

What is the definition of an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side and all other terms are on the other side.

Front

What is the solution to the equation: 5x + 3 = 18?

Back

x = 3.

Front

What is the definition of a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.