ACT Math Mini Test #1

Front

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

Back

The average (mean) is calculated by dividing the sum of all numbers by the count of numbers. Formula: Average = (Sum of all values) / (Number of values)

Front

How do you find the missing number in a sequence with a constant difference?

Back

To find the missing numbers in a sequence, determine the common difference by subtracting the first number from the second. Then, add this difference to the last known number to find the next number.

Front

What is the solution to the equation 5x + 2 = 7x - 7?

Back

Front

How do you calculate the daily salary of a teacher based on their annual salary?

Back

To find the daily salary, divide the annual salary by the number of working days in the year. For example, if a teacher earns $23,125 for 185 days, the daily salary is $23,125 / 185.

Front

What is the difference in payment between a full-time teacher and a substitute teacher for one day?

Back

To find the difference, subtract the substitute teacher's daily pay from the full-time teacher's daily pay. For example, if the full-time teacher earns $125 per day and the substitute earns $90, the difference is $125 - $90 = $35.

Front

What is the product of the terms 4x^2y, 2x^3y, and 3xy^2?

Back

Front

What is the definition of a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

How do you determine if a number is a solution to an equation?

Back

To determine if a number is a solution, substitute the number into the equation and check if both sides are equal. If they are equal, the number is a solution.

Front

What is the concept of a constant difference in a sequence?

Back

A constant difference in a sequence means that the difference between consecutive terms is the same. This is characteristic of arithmetic sequences.

Front

What is the significance of coefficients in algebraic expressions?

Back

Coefficients are the numerical factors in terms of an algebraic expression. They indicate how many times the variable is multiplied.