3/4-Solving One-Step Equations and Inequalities Practice

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step by performing the same operation on both sides of the equation.

Front

How do you solve the equation x + 5 = 12?

Back

Subtract 5 from both sides: x = 12 - 5, so x = 7.

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means to get the variable alone on one side of the equation to find its value.

Front

What is the solution to the equation 3x = 12?

Back

Divide both sides by 3: x = 12 / 3, so x = 4.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

How do you solve the inequality x - 3 < 5?

Back

Add 3 to both sides: x < 5 + 3, so x < 8.

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 or less than another.

Front

What is the solution to the equation 2w + 4 = 12?

Back

Subtract 4 from both sides: 2w = 12 - 4, then divide by 2: w = 4.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation m + 14 = 26?

Back

Subtract 14 from both sides: m = 26 - 14, so m = 12.