Writing and Solving Equations and Inequalities

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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you represent 'triple a number' mathematically?

Back

'Triple a number' can be represented as 3x, where x is the number.

Front

What does the phrase 'at most' indicate in an inequality?

Back

The phrase 'at most' indicates that the value can be less than or equal to a certain number.

Front

How do you express 'half a number' in mathematical terms?

Back

'Half a number' can be expressed as \( \frac{x}{2} \), where x is the number.

Front

What does 'greater than or equal to' mean in an inequality?

Back

'Greater than or equal to' means that the value on the left is either greater than or equal to the value on the right, represented by the symbol '≥'.

Front

How do you write an equation for two figures having the same perimeter?

Back

To write an equation for two figures having the same perimeter, set their perimeter expressions equal to each other.

Front

What is the initial fee in Joe’s Canoes pricing model?

Back

The initial fee in Joe’s Canoes pricing model is $20.

Front

How do you calculate the total cost for Joe’s Canoes after x hours?

Back

The total cost for Joe’s Canoes after x hours is given by the equation: Total Cost = 20 + 4x.

Front

How do you calculate the total cost for Callie’s Canoes after x hours?

Back

The total cost for Callie’s Canoes after x hours is given by the equation: Total Cost = 14x.