8.EEI.C.7b 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 an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality -5x < 30?

Back

Divide both sides by -5, remembering to flip the inequality sign: x > -6.

Front

What is the solution to the equation -5 = 3m - 14?

Back

The solution is m = 3.

Front

How do you solve the equation 7w - 3(4w + 8) = 11?

Back

Distribute and combine like terms to find w = -7.

Front

What is the first step in solving the inequality 6 < 3(y - 1)?

Back

Divide both sides by 3 to simplify: 2 < y - 1.

Front

What is the final solution to the inequality 6 < 3(y - 1)?

Back

The final solution is y > 3.