ACT Prep 2

Front

What is the formula to calculate Joelle's earnings for hours worked over 40 hours?

Back

Earnings = (Regular Pay * 40) + (Overtime Pay * Hours Over 40), where Overtime Pay = 1.5 * Regular Pay.

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

What is function composition and how is it represented?

Back

Function composition is combining two functions where the output of one function becomes the input of another, represented as (f ∘ g)(x) = f(g(x)).

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a - b)(a + b).

Front

How do you find the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of outcomes).

Front

What is the formula for calculating the area of a rectangle?

Back

Area = length × width.

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the roots of a quadratic equation ax² + bx + c = 0, given by x = (-b ± √(b² - 4ac)) / (2a).

Front

How do you simplify the expression (3x - 4y²)(3x + 4y²)?

Back

Use the difference of squares: (3x)² - (4y²)² = 9x² - 16y⁴.

Front

What is the concept of time and a half in overtime pay?

Back

Time and a half means that for every hour worked over the standard hours, the employee is paid 1.5 times their regular hourly rate.

Front

How do you calculate the total number of marbles in a bag?

Back

Total marbles = Number of red marbles + Number of yellow marbles + Number of green marbles.