two step inequalities and equations

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 does it mean to graph an inequality?

Back

Graphing an inequality involves representing the solutions of the inequality on a number line or coordinate plane.

Front

What symbols indicate a closed dot when graphing inequalities?

Back

The symbols ≤ (less than or equal to) and ≥ (greater than or equal to) indicate a closed dot.

Front

What is the solution to the equation 8 + 3h = 26?

Back

The solution is h = 6.

Front

How do you solve the inequality 2 - 3x ≤ 20?

Back

First, subtract 2 from both sides to get -3x ≤ 18, then divide by -3 (remember to flip the inequality) to get x ≥ -6.

Front

What does the graph of 5 + x > 29 look like?

Back

The graph shows an open dot at 24 and a line extending to the right, indicating all values greater than 24.

Front

What is the solution to the equation ⅙x + 7 = 15?

Back

The solution is x = 48.

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

What is the first step in solving a two-step equation?

Back

The first step is usually to eliminate any constant added to the variable by performing the inverse operation.