ACT Math Bootcamp Practice Day 1

Front

What is the midpoint of a line segment defined by points B(x1, y1) and C(x2, y2)?

Back

The midpoint M of a line segment BC is given by the formula M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you calculate the total cost including a tip?

Back

To calculate the total cost including a tip, first find the tip amount by multiplying the total cost by the tip percentage (as a decimal), then add the tip amount to the total cost.

Front

If Jill can paint 6 dressers in 3 days, how do you find the number of dressers she can paint in a different number of days?

Back

To find the number of dressers Jill can paint in a different number of days, use the rate of dressers per day: Rate = 6 dressers / 3 days = 2 dressers per day. Then multiply the rate by the number of days.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Front

How do you add two vectors a = (x1, y1) and b = (x2, y2)?

Back

To add two vectors, add their corresponding components: a + b = (x1 + x2, y1 + y2).

Front

What is the formula for calculating percentage?

Back

Percentage = (Part / Whole) * 100.

Front

How do you find the total amount paid by each person when splitting a bill?

Back

To find the total amount paid by each person when splitting a bill, divide the total bill amount by the number of people.

Front

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Back

The distance D between two points is given by the formula D = √((x2 - x1)² + (y2 - y1)²).

Front

What does it mean for two numbers to be equal?

Back

Two numbers are equal if they have the same value.

Front

How do you calculate the average of a set of numbers?

Back

To calculate the average, sum all the numbers and then divide by the count of numbers.