ACT Math Strategic Guessing Practice

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

How do you find the nth term of an arithmetic sequence?

Back

The nth term 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

If the 3rd term of an arithmetic sequence is 13 and the 4th term is 18, what is the common difference?

Back

The common difference d = 18 - 13 = 5.

Front

What is the formula to find the sum of the first n terms of an arithmetic sequence?

Back

The sum S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

Front

What does 200% of a number mean?

Back

200% of a number is double that number.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide by 100.

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer.

Front

How do you determine if a number is a perfect square?

Back

A number is a perfect square if its square root is an integer.

Front

What is the relationship between pairs of numbers that sum to a perfect square?

Back

If two numbers sum to a perfect square, their total can be expressed as k^2, where k is an integer.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.