ACT Math Practice Test 4

A bag contains 7 black socks, 12 white socks, and 17 red socks. If you pick one sock at random from the bag, what is the probability that it will NOT be white?

The ratio of adults to girls to boys on a class field trip was 1 : 4 : 5. If the trip included 6 more boys than girls, how many adults were with the group?

Two variables, v and w,are inversely proportional such that when v = 7, w = 14. What is the value of w when v = 2?

If f(x) = x² + 9 and g(x) = 24 + 4x,what is the value of $\frac{f\left ( 4 \right )}{g\left ( -1 \right )}$ ?

Two values of m satisfy the equation |5m – 11| – 3m = 9. What is the result when you multiply these two values together?

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

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

What is the determinant of the matrix $\begin{vmatrix} 3 & 6\\ -1 & 2 \end{vmatrix}$ ?

Which of the following points on the xy-graph is the x-intercept of the equation y = 2x – 8?

Antoine bought a new electric guitar that cost $588.60 after 9% sales tax was added. What was the price of the guitar without tax?

Jane ran around the perimeter of a rectangular park at a constant rate of 10 feet per second. The park has an area of 67,500 square feet, and its length is exactly three times its width. For how many seconds did Jane run?

If pq = 3, then p³q⁴ + p⁴q⁵ =

If tanθ = ⁴⁄₃, then sinθ = ?