Practice Test 50 - ACT Math

20 questions. Answer them in any order, then submit to see your score and every explanation.

Which of the following matrices is equal to $3 \begin{bmatrix} 2 & -1 \\ 4 & 0 \end{bmatrix}$ ?
Solve the compound inequality $-1\le 2x+3<7$ (write your answer as an inequality).
Which of the following matches the expansion of $-3(2x - 5)$ ?
A cylinder has radius 7 units and height 2 units. What is the surface area of the cylinder? (Use $\pi$ in your answer.)
Simplify: $ $(x^3)^4$ $
In right triangle JKL with right angle at J, if side JK = 9 and side JL = 12, what is the length of hypotenuse KL?
Solve: $|2x-4|<6$ (give your answer in interval notation).
How many sides does a polygon have if the sum of its interior angles is $1080^\circ$ ?
Which equation represents a circle with center (0, 0) and radius 10?
For what value of $k$ , if any, does the system of equations below have no solution? $2x + 3y = 6$ $6x + ky = 7$
A square is inscribed in a circle with radius 4 inches. What is the area of the square, in square inches?
A team has 9 players. The coach wants to select 4 players to travel, and the order does not matter. How many different groups of 4 players can be selected?
A candle burns down at a constant rate. It is 18 cm tall at time $x=0$ hours and 12 cm tall at time $x=3$ hours. If $x$ is time (hours) and $y$ is height (cm), which equation best models the candle's height over time?
A recipe uses $\tfrac{3}{4}$ cup of sugar per batch of muffins. If Lina makes $6$ batches, how much sugar does she need in total?
What is the measure of each interior angle in a regular pentagon?
A student evaluates a product involving a variable real part. What is the real part of $(x+3i)(2-i)$ ? (Assume $x$ is a real number and use $i^2=-1$ .)
Solve: $-4x + 5 \leq 1$
A polynomial function is $u(x) = -2x^2 + 8x - 6$ . What is the leading coefficient of $u(x)$ ?
The times (in minutes) it took a runner to complete a short route over 6 days were: 9, 12, 10, 11, 15, 13. What is the median of $\{9,12,10,11,15,13\}$ ?
Which polynomial is equivalent to $(2x - 3)^2$ ?

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