Two Step Equations and Two Step Inequalities Practice

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 -2(z - 10) = -70?

Back

The solution is z = 45.

Front

What does it mean when an inequality is represented with a closed circle on a number line?

Back

A closed circle indicates that the endpoint is included in the solution set.

Front

What does the inequality -5x ≤ -25 represent?

Back

It represents all values of x that are less than or equal to 5.

Front

How do you graph the inequality 6 > x?

Back

Graph a number line, place an open circle at 6, and shade to the left to indicate all numbers less than 6.

Front

What is the solution to the equation 3(x - 4) = -3?

Back

The solution is x = 3.

Front

What does the inequality -9a - 1 < 26 represent?

Back

It represents all values of a that are greater than -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, less than, or not equal to another.

Front

What is the first step to solve the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with the variable.