ACT Math Prep

Front

How many ways can a person order a sandwich, chips, and a drink if there are 3 types of sandwiches, 4 types of chips, and 5 types of drinks?

Back

60 ways (3 sandwiches * 4 chips * 5 drinks = 60).

Front

What is the total cost of a consultation if a consultant charges $45 per hour plus a flat fee of $30, and the total bill is $210?

Back

4 hours of work (Total cost = flat fee + hourly rate * hours; 210 = 30 + 45h; h = 4).

Front

If q = -1, r = 4, and s = 7, what does (q + r - s)(r - q) equal?

Back

18 (Calculate: (-1 + 4 - 7)(4 - (-1)) = (-4)(5) = -20).

Front

What is the sum of (5x² - 3x + 4) and (6x - 3x² - 3)?

Back

2x² + 3x + 1.

Front

What is the diameter of a circle?

Back

The distance from an edge of a circle to another edge through the center.

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the quadratic formula used to solve ax² + bx + c = 0?

Back

x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the definition of a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.