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ACT Math Review

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ACT Math Review

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1. The employees of two factories, X and Y, are comparing their respective production records. Factory X has already produced 18,000 units and can produce 120 units per day. Factory Y has produced only 14,500 units but can produce 155 units per day. If d represents the number of days, which of the following equations could be solved to determine the number of days until X's total production equals Y's total production.

Find the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155d

2. Probability 2 events (OR)

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either directionProbability 1 + Probability 2 (ADD)1. No negative angle exists
2. No zero angle exists
3. It's rare to see fractional angles
Ex: 45.50 degrees or 32 3/4 degreesFind the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155d

3. Line

4. What are the angle facts?

1. No negative angle exists
2. No zero angle exists
3. It's rare to see fractional angles
Ex: 45.50 degrees or 32 3/4 degreesProbability 1 + Probability 2 (ADD)Find the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155d

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either direction

5. The formula for the circumference is

2πr or πdProbability 1 + Probability 2 (ADD)Find the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155d

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either direction

6. Angle Note

The exterior angles of any figure are supplementary to the interior angles and always total 360 degrees.

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either directionFind the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155dProbability 1 + Probability 2 (ADD)

This is

Probability 1 + Probability 2 (ADD)

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either directionArea of a SquareFind the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155d

8. Perpendicular Lines

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either directionFind the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155d

Two lines that intersect to form a square corner. The intersection of two perpendicular lines for a right, or 90-degree, angleProbability 1 + Probability 2 (ADD)

9. Regular Polygon

10. Difference

Probability 1 + Probability 2 (ADD)

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either directionFind the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155dAnswer to a subtraction problem

11. Remainder

The number left over when a number is not divisible by another number.Probability 1 + Probability 2 (ADD)Find the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155d

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either direction

12. Similar Triangles

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either direction

13. Intersect

To cross. Two lines can intersect each other much like two streets cross each other at an intersection.

14. Line segment

The set of points on a line between any two points on that line.

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either directionFind the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155dProbability 1 + Probability 2 (ADD)

15. When you multiply two numbers with common bases,

Probability 1 + Probability 2 (ADD)

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either directionFind the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155dadd the exponents.

16. What real number could you square to get a product of -1?

Probability 1 + Probability 2 (ADD)Find the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155dNone, it's imaginary. (i)

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either direction

17. List the four multiples of 12.

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either direction

18. is

19. Mode

the number that occurs the MOSTFind the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155d

20. Greatest Common Factor (GCF)

This is

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either directionProbability 1 + Probability 2 (ADD)Find the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155d

21. Perimeter of a Triangle

22. Which terms describe the number -1/5?

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either direction

23. If the ratio of 2x to 5y is 1/20, what is the ration of x and y?

So, 2x/5=1/20. Begin by isolating x and y by cross multiplying. You should have x/y=5/40. So, this should reduce to 1/8.Find the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155d

24. Odd

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either directionFind the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155dProbability 1 + Probability 2 (ADD)Not divisible by two.

25. Triangle Side Lengths

Probability 1 + Probability 2 (ADD)

A straight path of points that extends forever in two directions. A line doesn't have any thickness or width. Arrows sometimes show that the line goes on forever in either directionFind the total production of each company after d days. Factory X starts with 18,000 units and can produce 120 units per day, so its production after d days will be 18,000 + 120d. Factory Y starts with only 14,500 units, but can produce 155 units per day, so its production after d days will be 14,500 + 155d. Since you are looking for the number of days after which the total production of each factory will be equal, set the two equations equal to one another: 18,000 + 120d = 14,500 + 155d

A side length of a triangle is: (1) greater than the other two sides subtracted; (2) less than the sum of the other two sides

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25 Questions

❤ If you liked Fatskills, consider supporting us by checking out The Life Manuals You Never Got.

About | Explore | User Guide | Topics | Subjects | Doubt Solver | Career Aptitude Test | Answers | Free Tools | OSHA Basics Quiz | What Should We Know? Privacy | Terms |

Without work one finishes nothing. - Ralph Waldo Emerson© 2026 Fatskills.com

All trademarks, logos and brand names are the property of their respective owners. All company, product and service names used in this website are for identification purposes only. Use of these names, trademarks and brands does not imply endorsement.

About | Explore | User Guide | Topics | Subjects | Doubt Solver | Career Aptitude Test | Answers | Free Tools | OSHA Basics Quiz | What Should We Know?
Privacy | Terms |

Without work one finishes nothing. - Ralph Waldo Emerson
© 2026 Fatskills.com