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

What is the solution to the equation 3x + 5 = 20?

Back

x = 5.

Front

What does it mean to solve an inequality?

Back

Solving an inequality means finding the range of values that satisfy the inequality condition.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (< or >) does not include the boundary value, while a non-strict inequality (≤ or ≥) includes the boundary value.

Front

How do you graph the inequality x > 3?

Back

Draw a number line, place an open circle at 3, and shade to the right to indicate all numbers greater than 3.

Front

What does a closed circle on a graph indicate?

Back

A closed circle indicates that the number is included in the solution set, used for inequalities with ≤ or ≥.

Front

What is the first step to solve the equation (x + 4)/2 = 6?

Back

Multiply both sides by 2 to eliminate the fraction.

Front

How do you check your solution for an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the inequality 5x - 2 < 3?

Back

x < 1.