Algebra
number & quantity
Functions
Geometry
Stats & Probability
100
Factor this equation
x2-4x+3=0
(x-1)(x-3)
100
Simplify
(51/3. 52)6
A. 54
B. 52/3
C. 514
D. 51/3
C. 514
100
About how many questions on the Act are functions?
A. 10-12
B.8
C. 7-9
D. 4
C. 7-9
100
About how many Geometry questions are in the math section of the ACT?
A.7
B.6-8
C. 7-9
D. 4-5
C. 7-9
100
You roll two 6-sided number cubes. What is the probability the first cube will show a 6 and the second cube will show a 2?
A.2
B.1/18
C. 1/36
D.1/3
C. 1/36
200
If f(x)=x3 -kx2+ 2x and f(2) = 6, what is the value of K?
A.1/7
B.4/5
C.3
D. 3/2
D. 3/2
200
Brianna's first 3 test scores are 60, 70, and 90. What score does she need on a fourth test to bring her average up to 80?
A. 60
B. 80
C. 90
D. 100
D. 100
200
If a publisher charges $15 for his first copy of a book that is ordered and $12 for each additional copy, which of the additional expressions represents the cost of y books?
A. 12y+3
B. 12y+15
C. 15y-3
D.15y+3
A. 12y+3
200
What is the slope of the line containing the points (-2,7) and (3,-3)?
A.-2
B.-1/2
C.0
D.4
A.-2
200
Edward has a bag with three marbles in it. One is red, one blue, one orange. If he randomly selects two marbles without replacing them, what is the probability he selects first the orange then the blue?
A.1/6
B.1/3
C.2/3
D.1/9
A.1/6
300
The lowest temperature on a winter morning was –8°F. Later that same day the temperature reached a high of 24°F. By how many degrees Fahrenheit did the temperature increase?
A.3°
B.8°
C.16°
D.32°
D.32°
300
A certain radioactive material has a half-life of seven days. A test sample of this material has an initial mass of 400 kg. Which of the following would be the most appropriate unit to use when labeling the time axis of a graph of remaining material vs. time elapsed until 6.1 grams remain?
A.Hours
B.Days
C.Weeks
D.Years
C.Weeks
300
What is the domain of the function defined as follows:
A.
B.
C.
D.
B.
300
When graphed in the standard (x.y) coordinate plane, which of the following equations does NOT represent a line?
A. x=4
B. 3y=6
C. x-y=1
D. x2+y=5
D. x2+y=5
300
Comal’s drawer has 20 socks in it: 10 white socks, 4 black socks, 4 blue socks, and 2 red socks. If Comal randomly takes two socks out of the drawer, what is the probability they will be the same color? Round your answer to the nearest thousandth.
A. 0.003
B. 0.100
C. 0.237
D. 0.305
C. 0.237
400
Wadley was selling tickets for a musical, she told me 10 more adult tickets then children tickets and she sold twice as many senior tickets as children tickets. Price of adult tickets were $5, children's tickets cost $2, and senior tickets cost $3. If Wadley made $700, how many senior tickets were sold?
A. 95
B. 100
C. 50
D. 60
B. 100
400
Choose the graph that applies to the problem below:
Meghan bought cookies and milk for her classmates. She spent $0.45 per cookie, one cookie each per student, and $2.65 on one gallon of milk to share. How much does she spend altogether?
Graph 1
Graph 2
Graph 3
Graph 4
Graph 4.
400
K. 3 cos(2x)
400
A triangle, AABC, is reflected across the x-axis to have the image AA'BC in the standard (x.y) coordinate plane; thus, A reflects to A'. The coordinates of point A are (c,d). What are the coordinates of point A'
A.( c.-d)
B.(-c, d)
C.(d. c)
D.(-c,-d)
A.( c.-d)
400
Angela scores 17, 19, 13, 24, and 14 points in the first five games of a seven-game basketball season. If the scoring leader in Angela’s league averages 18 points per game, how many points must Angela score in the final two games combined to end the season with the highest scoring average in the league AND have a higher scoring average than any other player?
A.4
B.34
C.32
D. 40
D. 40
500
In a sample study of light bulbs, the bulb life was recorded. It was observed that the maximum and minimum bulb lives recorded were 739 hours and 1624 hours, respectively. Which of the following inequalities represents all possible bulb lives, b, observed in the study?
A. |b+1181.5|≤442.5
B.|b−442.5|<1181.5
C.|b−442.5|≤1271.5
D. |b−1181.5|≤442.5
D. |b−1181.5|≤442.5
500
Usain Bolt set a world record of 9.58 seconds for the 100-meter dash. White-tailed deer can run at 48 kilometers per hour for short periods. If Bolt and a white-tailed deer run a 100-meter dash at these speeds, who would win and by how much?
- Bolt wins by 3.75 seconds
- Bolt wins by 2.08 seconds
- Deer wins by 3.75 seconds
- Deer wins by 2.08 seconds
D. Deer wins by 2.08 seconds
500
Find
A.63
B.78
C.36
D.67
D.67
500
On a map in the standard (x.y) coordinate plane, the towns of Arlington and Betelwood are represented by the points (-2,-3) and (-6,-7), respectively. Each unit on the map represents an actual distance of 10 miles. Which of the following is closest to the distance, in miles, between these 2 towns?
A.40
B.57
C.28
D.42
B.57
500
Given a mean raw score of 43 and a standard deviation of 3.47, what is the z-score for a raw score of 48?
A.-1.44
B.1.44
C.0.69
D.-0.69
B.1.44