TEKS 7.11.A-C (Solving Equations and Inequalities)

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is an inequality?

Back

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

Front

How do you solve the equation 2x + 10 = 28?

Back

Subtract 10 from both sides to get 2x = 18, then divide by 2 to find x = 9.

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

How do you graph the solution of an inequality?

Back

To graph the solution of an inequality, use a number line and shade the region that represents all possible solutions, using open or closed circles to indicate whether endpoints are included.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) means the value is strictly larger, while 'greater than or equal to' (≥) includes the value itself.

Front

What is the solution to the inequality -8x + 40 > -16?

Back

The solution is x < 7.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

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.