OPTIONAL Alg. Review for Lessons 1 - 7 Test on 12/6

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an exponential equation?

Back

An exponential equation is an equation in which a variable appears in the exponent. It has the form y = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

How do you determine if a function is linear or exponential based on its values?

Back

If the differences between consecutive values are constant, the function is linear. If the ratios of consecutive values are constant, the function is exponential.

Front

Write the function that represents the number of participants in the 5K run over three years: 120, 180, 270.

Back

y = 120(1.5)^(x-1)

Front

What does the equation y = 5(3)^x represent?

Back

It represents a situation where you start with $5 and triple your money every day.

Front

How do you write a formula for a payment structure that doubles for each additional bag filled?

Back

The formula is a_n = 0.02(2)^(n-1), where n is the number of bags.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

Find the total number of passengers in the 7th carriage if the first carriage has 125 passengers and each subsequent carriage has 25 more passengers.

Back

275

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be found using the formula a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the common difference in the sequence 125, 150, 175?

Back

The common difference is 25.