Week 18~Monday

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, often represented as 'per' something.

Front

How do you calculate the unit rate from a table of costs?

Back

To calculate the unit rate, divide the total cost by the number of items. For example, if 11 tickets cost $30, the unit rate is $30 ÷ 11 = $2.73 per ticket.

Front

If a kicker misses 2 out of every 11 field goals, how do you find the total attempts if he missed 8?

Back

Set up a proportion: 2 misses / 11 attempts = 8 misses / x attempts. Cross-multiply and solve for x to find the total attempts.

Front

What is the ratio of pilots to aircrafts in First Class Airlines?

Back

The ratio is 40 pilots for every 15 aircrafts, which can be simplified to 8 pilots for every 3 aircrafts.

Front

How do you solve the inequality 33 < m - 91?

Back

Add 91 to both sides to isolate m: 33 + 91 < m, which simplifies to 124 < m or m > 124.

Front

What does the phrase 'no more than' indicate in an inequality?

Back

The phrase 'no more than' indicates a less than or equal to relationship, represented as ≤ in an inequality.

Front

How do you represent the phrase 'The sum of a number and 7 is no more than 53' as an inequality?

Back

The inequality is represented as 7 + n ≤ 53.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality by performing the same operation on both sides.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values for the variable that can satisfy the inequality, often resulting in a contradiction.

Front

How can you check if your solution to an inequality is correct?

Back

Substitute the solution back into the original inequality to see if it holds true.