DCP #2 Review 8th Grade

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant. For example, if y is proportional to x, then y = kx for some constant k.

Front

How do you calculate simple interest?

Back

Simple interest can be calculated using the formula: Interest = Principal × Rate × Time. For example, if you invest $1000 at a 5% interest rate for 2 years, the interest earned would be $1000 × 0.05 × 2 = $100.

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number between 1 and 10 and a power of 10. For example, 12,000,000 can be written as 1.2 x 10^7.

Front

What is compound interest?

Back

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It can be calculated using the formula: A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the time in years.

Front

What is the formula for calculating simple interest?

Back

The formula for calculating simple interest is: Interest = Principal × Rate × Time.

Front

Convert 12,000,000 to scientific notation.

Back

12,000,000 in scientific notation is 1.2 x 10^7.

Front

If the principal is $1500, the interest rate is 7%, and the time is 2 years, what is the simple interest?

Back

The simple interest is $210.

Front

What is the difference between simple interest and compound interest?

Back

Simple interest is calculated only on the principal amount, while compound interest is calculated on the principal plus any interest that has already been added.

Front

How do you determine if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant slope.

Front

Calculate the simple interest for a principal of $6,000 at an interest rate of 5% for 6 months.

Back

The simple interest is $150.