Week 18~Wednesday

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a single unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate the percent of a number?

Back

To find what percent a number (A) is of another number (B), use the formula: (A/B) * 100. For example, to find what percent 49.5 is of 33, calculate (49.5/33) * 100 = 150%.

Front

What is the formula for finding the percent increase?

Back

The formula for percent increase is: ((New Value - Original Value) / Original Value) * 100. This shows how much a value has increased relative to its original amount.

Front

What does the inequality x > 3 represent?

Back

The inequality x > 3 means that x can be any number greater than 3, but not equal to 3.

Front

How do you solve the equation k/3 - 2k + 4 = 10?

Back

To solve for k, first isolate k: k/3 - 2k = 10 - 4, which simplifies to k/3 - 2k = 6. Multiply through by 3 to eliminate the fraction: k - 6k = 18, leading to -5k = 18, so k = -3.6 or -3 3/5.

Front

What is the meaning of the term 'inequality' in mathematics?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100. For example, to convert 1/4 to a percent: (1 ÷ 4) * 100 = 25%.

Front

What is the relationship between ratios and rates?

Back

A ratio is a comparison of two quantities, while a rate is a specific type of ratio that compares quantities with different units, such as speed (miles per hour).

Front

What does it mean for a number to be a 'percent of' another number?

Back

When we say that a number A is a percent of another number B, we are expressing A as a fraction of B and multiplying by 100 to find the percentage.

Front

How do you interpret the graph of an inequality?

Back

The graph of an inequality shows all the possible solutions that satisfy the inequality. For example, the graph of x > 3 includes all numbers to the right of 3 on a number line.