SHSAT Level 2.8 Flashcard

Front

What is the formula to find the distance between two points on a number line?

Back

Distance = |x2 - x1|, where x1 and x2 are the coordinates of the two points.

Front

If the distance from W to X is 70% of the distance from W to Y, how do you express this relationship mathematically?

Back

Distance WX = 0.7 * Distance WY.

Front

What is the sum of four consecutive integers?

Back

The sum can be expressed as 4n, where n is the first integer.

Front

What is the relationship between the ratios of x, y, and z if x:y = 1:2 and y:z = 2:5?

Back

You can express x, y, and z in terms of a common variable, such as x = k, y = 2k, z = 5k/2.

Front

How do you calculate the percentage of a part compared to a whole?

Back

Percentage = (Part/Whole) * 100.

Front

If 2 inches on a map represents 3 miles, how do you find the actual distance represented by 5.4 inches?

Back

Actual distance = (5.4 inches / 2 inches) * 3 miles = 8.1 miles.

Front

What is the sum of the numbers x, y, and z if their total is 40 and the ratios are given?

Back

You can set up the equation x + y + z = 40 and substitute the ratios to find the values.

Front

What is a consecutive integer?

Back

Consecutive integers are numbers that follow each other in order, such as 1, 2, 3, or -2, -1, 0.

Front

How do you determine if a number can be the sum of four consecutive integers?

Back

The sum of four consecutive integers is always divisible by 4.

Front

What is the definition of a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.