Practice Test 35 - ACT Math

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

Solve the system: $\begin{cases} 2x + y = 11\\ x - y = 1 \end{cases}$ What is the solution $(x, y)$ ?
What is 75% of 200?
The two-way table shows the results of a survey of 200 high school students who were asked whether they play a sport and whether they play a musical instrument. Given that a randomly selected student plays a musical instrument, what is the probability that the student also plays a sport?
What is the range of the data set [50, 45, 55, 40, 60]?
What is $9^{-2}$ ?
If $\frac{5}{x} = \frac{15}{18}$ , what is the value of $x$ ?
Which of the following inequalities represents the statement '5 less than 3 times a number $n$ is at least 10'?
If $x$ is increased by $20\%$ and the result is $96$ , what is the original value of $x$ ?
A cube-shaped box has side length 7 units. Each face is a square with side 7 units. What is the surface area of the cube in square units?
Let $x$ be a real number. In the product $(x + 2i)(3 - i)$ , what is the real part after multiplying using FOIL and applying $i^2 = -1$ ?
Which number is greatest?
A store records profit using the equation $5x - 7 = 18$ , where $x$ is the number of items sold in a small batch. Solve for $x$ . Give your answer in simplest form.
A function is defined by $f(x)=x^2-4x+1$ . What is $f(-2)$ ? Show the substitution: $f(x)=x^2-4x+1$ , so $f(-2)=(-2)^2-4(-2)+1$ .
A restaurant offers 3 appetizers, 4 main courses, and 2 desserts. How many different meals can be ordered, consisting of one appetizer, one main course, and one dessert?
Simplify: $6(m - 2) + 4(m + 1)$
What is the probability of flipping a coin and getting tails, then rolling a die and getting a 6?
A quantity increases from $150$ to $180$ . What is the percent increase based on the original value?
A cone has radius 3 units and height 12 units. What is the volume of the cone?
Solve: $x^2 + 4x - 21 = 0$
Find the area of a circle with radius 7.

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