ACT Math 1
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, about how much was the gas for this car to travel 2,727 typical miles?
$408.04
Janelle cut a board 30 feet long into 2 pieces. The ratio of the lengths of the 2 pieces is 2:3. What is the length, to the nearest foot, of the shorter piece?
12 feet
What does ACT stand for?
American College Testing
3/8
A cube and a rectangular solid are equal in volume. If the lengths of the edges of the rectangular solid are 4 in, 8 in, and 16 in, what is the surface area of the cube?
384 in2
A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee. How many hours of work are included in a $210 bill for a consultation?
4 hours
Cube A has an edge length of 2 inches. Cube B has an edge length double that of Cube A. What is the volume, in cubic inches, of Cube B?
64 in3
What is Mrs. Niemi's first name?
Emily
What is the result when 436,921 is rounded to the nearest thousand and then expressed in scientific notation?
4.37 x 105
If f(x)=8x2 and g(x)=2x-3, what is the value of f(1/2) - g(10)?
-15
What is the value of x when 2x + 3 = 3x - 4
x=7
(6 + 8 / 4 * 3)2
144
True or False: On the ACT, you should not guess on any questions because if you get it wrong, you get points taken away.
False!
In the xy-plane, what is the slope of the following equation?
2x - 3y = 8
2/3
Mrs. Niemi was feeling generous and decided to give out 72 diet cokes. She needed to give them to person A, person B, and person C in such a manner that A got thrice as many as B, and the sum total of Diet Cokes A and B got was 60. She gave the remaining Diet Cokes to C. How many Diet Cokes did A, B, and C receive?
A = 45
B = 15
C = 12
Anne and Bette are both celebrating their birthdays today. If Anne were ten years older and Bette were three years younger, then Anne would be twice as old as Bette. And if Anne were three years older and Bette were twice her current age, Anne's age would be 3/4 that of Bette. How old is Bette?
26 years old
A hot air balloon 70 meters above the ground is falling at a constant rate of 6 meters per second while another hot air balloon 10 meters above the ground is rising at a constant rate of 15 meters per second. To the nearest tenth of a second, after how many seconds will the two balloons be the same height above the ground?
2.9 seconds
There are only 10 seconds left of the exam, and you have 10 questions you have not answered, what do you do?
A wire bent in the form of a circle with a radius of 16 cm is then bent to form a square. What is the area of the square? Round all calculations to the nearest whole number and use 3.14 as pi.
625 units2
What are the coordinates of the vertex for the parabola whose equation is y = x2 + 6x + 5?
(-3, -4)
In a right triangle ABC, if <A and <B are acute, and if tan B=5/4, what is the value of sin A?
(4 sqrt(41))/41
A hiking group will go from a certain town to a certain village by van on 1 of 4 roads, from the village to a waterfall by riding bicycles on 1 or 2 bicycle paths, and then from the waterfall to their campsite by hiking on 1 or 6 trails. How many routes are possible for the hiking group to go from the town to the village to the waterfall to their campsite?
48 trails
What is the highest score you can receive on the SAT and ACT?
1600, 36
What is the solution set for n for the inequality |5-2n| > 9?
A. 2 < n < 7
B. -2 < n < 7
C. -7 < n < 2
D. n < -2 OR n > 7
E. n< -7 OR n > 2
D.
What is the y-intercept of the line that goes through the points (4, 5) and (-2, -7)?
(0, -3)