ACT/SAT Math Practice Week 1

Front

What is the formula to calculate the average of a set of numbers?

Back

Average = (Sum of all numbers) / (Total count of numbers)

Front

If a price is discounted by a percentage, how do you calculate the final price after applying the discount?

Back

Final Price = Original Price - (Original Price * Discount Percentage)

Front

What is the effect of applying sales tax to a final price?

Back

Sales Tax = Final Price * Sales Tax Rate; New Final Price = Final Price + Sales Tax

Front

In a sequence where each term is generated by adding a constant and multiplying, how do you find a specific term?

Back

Use the recursive formula: Term(n) = (Term(n-1) + Constant) * Multiplier.

Front

What is an even integer?

Back

An even integer is any integer that is divisible by 2 without a remainder.

Front

How do you determine if an expression will yield an even integer for all integer inputs?

Back

Check if all terms in the expression can be expressed as even integers or if they combine to form an even integer.

Front

What does it mean for a set of integers to have an average of 0?

Back

The sum of the integers must equal 0.

Front

How do you solve for a variable in an equation involving averages?

Back

Rearrange the equation to isolate the variable, using algebraic operations.

Front

What is the process for solving a percentage discount problem?

Back

1. Calculate the discount amount. 2. Subtract the discount from the original price.

Front

What is the significance of the 4% coupon in the context of a discount?

Back

It further reduces the already discounted price, affecting the final amount paid.