3. WHAT’s on ACT ?
[EA] Pre and Elementary Algebra - solving for an unknown quantity. Solving equations, evaluating expressions, order of operations, mean, median, mode, proportions, percentages, etc.
[AG] Intermediate Algebra/Coordinate Geometry – Graphing on the coordinate plane, graphing lines, slope, linear and quadratic functions, distance, midpoint, Your calculator should be VERY helpful for most of these questions. Advanced Algebra concepts– simplifying expressions, exponent rules, radicals, factoring, rational expressions, etc.
[GT] Plane Geometry/Trigonometry – Geometry – area, perimeter, SA, Volume, Angles, Triangles, Quadrilaterals, Circles, etc. There are only four (4) trig questions on the ACT and these are among the easiest on the test, (SOHCAHTOA) is frequently seen on ACT.
Analyze your weak/strong area

4. The 4 Questions for Strategic Problem Solving
ACT Prep Session #1
The 4 Questions for Strategic Problem Solving

5. The 4 Questions What do I want to know? What do I know already?
What can I do with what I know already?
Is it what I want to know? Am I done?

6. Practice If f(x) = 6x²+9, then f(-2)=? _________
What do I want to know?
What do I know already?
What can I do with that?
Is that what I want to know?

7. Practice
2. John wants to make fruit salad. He has a recipe that serves 6 people and uses 4 oranges, 5 pears, 10 apples, and 2 dozen strawberries. If he wants to serve 18 people, how many pears will John need?
What do I want to know?
What do I know already?
What can I do with that?
Is that what I want to know?

8. Practice
3. What is the area in the standard (x,y) coordinate plane of a triangle with vertices at (1,2), (-6,2), and (1,-5).
_______________
What do I want to know?
What do I know already?
What can I do with that?
Is that what I want to know?

9. Practice
4. Jimmy’s school is 1.2 miles from his house, on the same street. If he walks down the street directly from the school to his house, he passes a candy store and a grocery store. The candy store is 0.35 miles from the school, and the grocery store is 0.67 miles from the candy store. How many miles is it from the grocery store to Jimmy’s house?
___________________________________
What do I want to know?
What do I know already?
What can I do with that?
Is that what I want to know?

10. Practice
5. Harry is a piano student who can learn 2 new pieces a week. If his piano teacher gives him 3 new pieces every week for 4 weeks, how many weeks will it take Harry to learn all the pieces?
_______________________________________
_________
What do I want to know?
What do I know already?
What can I do with that?
Is that what I want to know?

11. Practice 6. If , then x=? ____ What do I want to know?
What do I know already?
What can I do with that?
Is that what I want to know?

12. Practice
6. In a recent survey, 14 people found their mayor to be “very competent”. This number is exactly 20% of the people surveyed. How many people were surveyed?
What do I want to know?
What do I know already?
What can I do with that?
Is that what I want to know?

13. Practice 6. If x²=50, then which of the following could be true?
What do I want to know?
What do I know already?
What can I do with that?
Is that what I want to know?

14. Practice
6. If m is an even integer less than 6, what is the next greater integer in terms of m ?
m+1
m+2
m+3 2m
6 - m
What do I want to know?
What do I know already?
What can I do with that?
Is that what I want to know?

17. ACT Strategies Picking numbers & Backsolving
ACT Prep Session #2
ACT Strategies
Picking numbers & Backsolving

28. Practice

29. ACT Prep Session #3
Word Problems

30. Common English-Math Translations
Add
Subtract
Multiply
Divide
Equal
Plus
Minus
Times
Quotient Is
Sum
Difference
Product
Per
More than
Less than
Each
Increased by
Decreased by Of
Total
In all

31. Practice
In a group of 3 numbers, the second number is 3 less than 4 times the first number, and the third number is 6 more than twice the first. If the second number is 14, what is the third number?

32. Story Problems
A factory produces cans of mixed nuts. Each can contains p ounces of peanuts, and twice as many ounces of cashews, almonds, and brazil nuts combined. Peanuts cost 15 cents an ounce, and all other nuts cost 20 cents an ounce. Which of the following expresses the cost of a can of nuts in dollars? A x 3p C. 0.15p x 0.20p E.
B. 0.15p p
D. 0.15p (2p)

33. Story Problems
Jack bought a painting for $200. A year later, a friend bought it from him for $170. What percent of the original price did Jack lose in the transaction?

34. Story Problems
Casey scored 150, 195, and 160 in 3 bowling games. What must she score on her next bowling game if she wants to have an average score of exactly 175 for the 4 games?

35. Practice