College Prep Midterm Exam

Front

What is percent increase?

Back

Percent increase is calculated by taking the difference between the new value and the old value, dividing by the old value, and then multiplying by 100. Formula: ((New Value - Old Value) / Old Value) * 100.

Front

How do you find the median of a set of numbers?

Back

To find the median, arrange the numbers in ascending order and identify the middle number. If there is an even number of observations, the median is the average of the two middle numbers.

Front

What is the process of factoring by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor it into simpler binomials.

Front

What is the relationship between similar triangles?

Back

In similar triangles, corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

How do you calculate the shadow length using similar triangles?

Back

To find the shadow length, set up a proportion between the heights and shadow lengths of two objects. For example, if height1/shadow1 = height2/shadow2, you can solve for the unknown shadow length.

Front

What is the formula for calculating percent change?

Back

Percent change = ((New Value - Old Value) / Old Value) * 100.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means breaking it down into simpler polynomials that, when multiplied together, give the original polynomial.

Front

What is the significance of the median in a data set?

Back

The median represents the middle value of a data set, providing a measure of central tendency that is less affected by outliers than the mean.

Front

How do you determine the side length of a triangle using the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Formula: a² + b² = c².

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, multiplication, and non-negative integer exponents.