One step equations and inequalities

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 to isolate the variable.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation or inequality so that the variable is on one side of the equation or inequality by itself.

Front

What is the solution to the inequality x ≤ 8?

Back

The solution means that x can be any number that is less than or equal to 8.

Front

How do you solve the equation 17 - x = 9?

Back

To solve, add x to both sides and subtract 9 from both sides: x = 8.

Front

What does the expression x > 7 represent?

Back

It represents that x is greater than 7.

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, often containing variables.

Front

What operation should you perform to isolate k in the equation k/11 = 5?

Back

Multiply both sides by 11 to isolate k.

Front

What does the expression s ≤ 17 mean in a real-world context?

Back

It means that the time Shari can spend on science homework is 17 minutes or less.

Front

What is the first step to solve the equation x + 5 = 12?

Back

Subtract 5 from both sides to isolate x.

Front

What does it mean if an inequality is written as x ≥ 8?

Back

It means that x can be any number that is greater than or equal to 8.