ACT Math Practice Test

Front

If 15% of n is 300, what is 22% of n?

Back

To find n, set up the equation: 0.15n = 300. Solving for n gives n = 2000. Then, 22% of n is 0.22 * 2000 = 440.

Front

What is the equation of a line that is perpendicular to y = 1/3 x + 9 and includes the point (3, 4)?

Back

The slope of the given line is 1/3. The slope of the perpendicular line is -3 (negative reciprocal). Using point-slope form: y - 4 = -3(x - 3) simplifies to y = -3x + 13.

Front

In the figure, what is the value of x in terms of y?

Back

If x is related to y by a specific relationship, the answer is x = y\sqrt{10}.

Front

A bag contains 7 black socks, 12 white socks, and 17 red socks. What is the probability that a randomly picked sock will NOT be white?

Back

Total socks = 7 + 12 + 17 = 36. Non-white socks = 7 + 17 = 24. Probability = 24/36 = 2/3.

Front

What is the midpoint of the line segment connecting points A(-2, 1) and B(0, 2)?

Back

Midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2). Here, M = ((-2 + 0)/2, (1 + 2)/2) = (-1, 1.5) or (-1, 3/2).

Front

What is the formula for the area of a triangle?

Back

Area = (1/2) * base * height.

Front

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

Back

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

Front

What is the quadratic formula used to solve ax^2 + bx + c = 0?

Back

x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the Pythagorean theorem?

Back

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

Front

What is the probability of rolling a sum of 7 with two six-sided dice?

Back

There are 6 combinations to get 7 out of 36 total combinations. Probability = 6/36 = 1/6.