Practice Test 23 - ACT Math

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

Which represents a rational number? $\sqrt{7}$ , $0.625$ , $\pi$ , $\ln(2)$
A teacher recorded quiz scores for 9 students: 6, 8, 7, 10, 9, 6, 5, 8, 7. What is the range of the data?
Which equals $\tan\left(45^\circ\right)$ ?
A delivery time $x$ (in minutes) must be at least 4 minutes less than 10. Solve the inequality $x-10\ge -4$ and give the solution set in interval notation.
A teacher has 7 different students and wants to choose a president and a vice president. Since the two roles are different, order matters. In how many ways can the two officers be selected?
What is $4^3$ ?
A movie theater sells tickets for $11 each. A group buys $t$ tickets and pays an additional $3 total service fee for the whole purchase. Which equation models the total cost $C$ in dollars?
If the ratio of apples to oranges is 2:3 and there are 12 oranges, how many apples are there?
In a chemistry calculation using natural logarithms, evaluate $\ln(e^5)$ .
What is the value of $\ln(e^{7})$ ?
Two triangles are shown. In $\triangle ABC$ , $AB=6$ , $BC=9$ , $AC=12$ . In $\triangle DEF$ , $DE=4$ , $EF=6$ , $DF=8$ . Are the triangles similar? If so, why?
Which is the correct factorization of $x^2 - 5x + 6$ ?
A train travels 180 miles at a constant speed of 60 miles per hour. How long will it take the train to travel 180 miles?
Sarah is buying 3 notebooks, each costing $2.50, and a pack of pens costing $4. How much is her total cost?
What is the slope of the line through points $(-3, -2)$ and $(3, 4)$ ?
What is the circumference of a circle with radius 11?
What is the solution $(x, y)$ to the system $x + y = 10$ and $x - y = 2$ ?
A cube has side length 9 units. What is the volume of the cube?
In right triangle $ABC$ , $\angle C$ is a right angle. If $AC=15$ and $BC=8$ , what is the length of the hypotenuse $AB$ ? Give your answer in simplest form.
Which graph represents the solution to $x + 4 \leq 2$ ?

Practice tests