ACT Mathematics Practice Test 1
The equation y = ax2 + bx + c is graphed in the standard (x,y) coordinate plane below for real values of a, b, and c. When y = 0, which of the following best describes the solutions for x ?
Antwan drew the circle graph describing his time spent at school in 1 day. His teacher said that the numbers of hours listed were correct, but that the central angle measures for the sectors were not correct. What should be the central angle measure for the Core subjects sector?
What is the product of the complex numbers (−3i + 4) and (3i + 4) ?
Given f = cd3, f = 450, and d = 10, what is c ?
A computer chip 0.32 cm thick is made up of layers of silicon. If the top and bottom layers are each 0.03 cm thick and the inner layers are each 0.02 cm thick, how many inner layers are there?
What is the perimeter, in inches, of the isosceles right triangle shown below, whose hypotenuse is 8√•2 inches long?
To get a driver’s license, an applicant must pass a written test and a driving test. Past records show that 80% of the applicants pass the written test and 60% of those who have passed the written test pass the driving test. Based on these figures, how many applicants in a random group of 1,000 applicants would you expect to F. 1_ 44 get driver’s licenses?
If f (x) = (3x + 7)2, then f (1) = ?
The radius of the base of the right circular cone shown below is 5 inches, and the height of the cone is 7 inches. Solving which of the following equations C. 32% D. 34% E. 39% insurance $125 entertainment gives the measure, θ, of the angle formed by a slant height of the cone and a radius?
Students studying motion observed a cart rolling at a constant rate along a straight line. The table below gives the distance, d feet, the cart was from a reference point at 1-second intervals from t = 0 seconds to t = 5 seconds. Which of the following equations represents this relationship between d and t ?
The first term is 1 in the geometric sequence 1, −3, 9, −27, …. What is the SEVENTH term of the geometric sequence?
The table shows the number of cars Jing sold each month last year. What is the median of the data in the table?
The shipping rate for customers of Ship Quick consists of a fee per box and a price per pound for each box. The table below gives the fee and the price per pound for customers shipping boxes of various weights. Gregg wants Ship Quick to ship 1 box that weighs 15 pounds. What is the shipping rate for this box?
If a, b, and c are positive integers such that ab = x and cb = y, then xy = ?
For trapezoid ABCD shown below, AB i DC , the measures of the interior angles are distinct, and the measure of ∠D is x°. What is the degree measure of ∠A in terms of x ?
Last month, Lucie had total expenditures of $900. The pie chart below breaks down these expenditures by category. The category in which Lucie’s expenditures were greatest is what percent of her total expenditures, to the nearest 1%
Jorge’s current hourly wage for working at Denti Smiles is $12.00. Jorge was told that at the beginning of next month, his new hourly wage will be an increase of 6% of his current hourly wage. What will be Jorge’s new hourly wage?
On a particular road map, 1/2 inch represents 18 miles. 2 About how many miles apart are 2 towns that are 2 1/2 inches apart on this map?
The blood types of 150 people were determined for a study as shown in the figure below. If 1 person from this study is randomly selected, what is the probability that this person has either Type A or Type AB blood?
In scientific notation, 670,000,000 + 700,000,000 = ?
In the figure shown below, the measure of ∠BAC is (x + 20)° and the measure of ∠BAD is 90°. What is the measure of ∠CAD ?
In which of the following are 1/2 , 5/6 , and 5/8 arranged in ascending order?
24. An artist makes a profit of (500p − p ) dollars from selling p paintings. What is the fewest number of paintings the artist can sell to make a profit of at least $60,000 ?
The monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310, respectively. What is the mean of these monthly fees?
The length of a rectangle with area 54 square centimeters is 9 centimeters. What is the perimeter of the rectangle, in centimeters?
A car accelerated from 88 feet per second (fps) to 220 fps in exactly 3 seconds. Assuming the acceleration was constant, what was the car’s acceleration, in feet per second per second, from 88 fps to 220 fps ?
In the figure below, C is the intersection of AD and BE . If it can be determined, what is the measure of ∠BAC ?
In a plane, the distinct lines AB and CD intersect at A, where A is between C and D. The measure of ∠BAC is 47°. What is the measure of ∠BAD ?
This month, Kami sold 70 figurines in 2 sizes. The large figurines sold for $12 each, and the small figurines sold for $8 each. The amount of money he received from the sales of the large figurines was equal to the amount of money he received from the sales of the small figurines. How many large figurines did Kami sell this month?
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