Midterm Review

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To calculate the unit rate, divide the total cost by the quantity. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What does the inequality symbol '>' mean?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left side of the symbol is larger than the value on the right side.

Front

What does the inequality symbol '<' mean?

Back

The symbol '<' means 'less than'. It indicates that the value on the left side of the symbol is smaller than the value on the right side.

Front

What does the inequality symbol '≤' mean?

Back

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

Front

What does the inequality symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side is either greater than or equal to the value on the right side.

Front

How do you solve the inequality 5z - 2 - 2z < 13?

Back

First, combine like terms: 3z - 2 < 13. Then, add 2 to both sides: 3z < 15. Finally, divide by 3: z < 5.

Front

What is the solution to the inequality y / -2 > -1?

Back

To solve, multiply both sides by -2 (remember to flip the inequality): y < -2.

Front

What is the purpose of using a closed dot when graphing inequalities?

Back

A closed dot is used to indicate that the number is included in the solution set, which is the case for '≤' and '≥' symbols.

Front

What is the difference between an open dot and a closed dot in graphing?

Back

An open dot indicates that the number is not included in the solution set (used for '<' and '>'), while a closed dot indicates that the number is included (used for '≤' and '≥').