Two step Equations and Inequalities

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

What is an inequality?

Back

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

Front

Solve the inequality: 5x - 2 < 8

Back

x < 2

Front

What does it mean when an inequality has no solution?

Back

An inequality has no solution when the two sides cannot be made equal, such as x + 3 < x.

Front

Solve for n: 4n + 8 = 24

Back

n = 4

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than the other.

Front

Solve for c: 3c + 5 = 23

Back

c = 6

Front

What is the first step to solve the equation 6n + 4 = -26?

Back

Subtract 4 from both sides to get 6n = -30.