Solving 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 the equation: 3f - 12 = -3

Back

f = 3

Front

Solve the equation: 2x - 3 = 1

Back

x = 2

Front

Solve the equation: -4x + 1 = 21

Back

x = -5

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find the range of values for the variable that makes the inequality true.

Front

Solve the inequality: -3x - 4 < 5

Back

x > -3

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 than or less than another.

Front

Solve and graph the inequality: 7n - 1 > 76

Back

n > 11.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.