ACT Math Practice Test 2

If log₅x = 2, what is √x?

On a standard xy-graph, what is the distance between (–2, 4) and (1, –2)?

What is the solution set for x for the inequality |2x + 7| > 11?

Anne and Katherine are both saving money from their summer jobs to buy bicycles. If Anne had $150 less, she would have exactly ¹⁄₃ as much as Katherine. And if Katherine had twice as much, she would have exactly 3 times as much as Anne. How much money have they saved together?

What is the x-intercept of a line that passes through the point (3, 4) and has a slope of 2?

Anderson has a phone plan that charges a monthly rate of $50 for the first 1,000 minutes plus $0.25 for each additional minute. Which of the following functions models Anderson’s plan for all m> 1,000, with mas the number of minutes per month and f(m) as the monthly charge?

Which of the following equals 12x²y³z⁴ – 30xy² + 24x²y⁵z?

Doug, who runs track for his high school, was challenged to a race by his younger brother, Matt. Matt started running first, and Doug didn’t start running until Matt had finished a quarter-mile lap on the school track. Doug passed Matt as they both finished their sixth lap. If both boys ran at a constant speed, with Doug running 2 miles an hour faster than Matt, what was Matt’s speed?

On an xy-graph, three corners of a parallelogram are located at (3, 3), (4, – 4), and (–2, –1). Which of the following points could be the remaining corner?

If a + 2b = 2, what is the value of $\left ( \frac{a}{b – 1} \right ) + \left ( \frac{a}{b – 1} \right )^{2} + \left ( \frac{a}{b – 1} \right )^{3}$ ?

If x² – x – 2 > 0, which of the following is the solution set for x?

If $\begin{vmatrix} 6 & x & y \end{vmatrix} + \begin{vmatrix} x & y & z \end{vmatrix} = \begin{vmatrix} 9 & 7 & 5 \end{vmatrix}$ , then x + y + z =