1. Good Morning!
-Pick up an opener

2. Which of the following Square numbers is the sum of two other square numbers?

3. Opener

4. ACT
Remember: Not all ACT math questions are created equally. Generally speaking, the questions increase in difficulty as you proceed from Question 1 to Question 60. Here’s the general breakdown of difficulty:
Easy: Questions 1 through 20
Medium: Questions 21 through 40
Hard: Questions 41 through 60
That being said, you should not rush through the early problems on the test to save time for the problems at the end. Remember that all questions on the ACT are worth the same to the scoring machine.

5. Take two passes on the ACT Math test
Pass 1: Start with Question 1 and work your way forward, answering questions that look relatively quick and easy and jumping over those that look difficult or time- consuming.
Pass 2: After you’ve answered all the quick and easy questions, circle back to the first question you skipped over and work your way forward to the end again.
You may consider passing over questions that
Are very long and wordy.
Seem purposely confusing and don’t make a lot of sense even the second time you read them.
Have large or complicated numbers that involve long or difficult calculations

6. Use your calculator wisely
Remember, questions on the ACT are designed to be answered within a minute, if that. They do not involve intense calculation

7. Encourage Your Inner Artist
On the right-hand side of every Math Test page, you will find a column with the header “DO YOUR FIGURING HERE.” You can use this space to write formulas, graphs, drawings of triangles, or whatever else you want.
Be careful not to write out all your work, if some of that work is merely aesthetic. Remember, no one will see your test booklet, and only the bubble answers count.

8. Avoid Partial Answers
For problems that have more than one step, a partial answer is the answer to one of the steps of the problem, but not to the whole problem.
On word problems, the last sentence of the problem usually tells you what the question is looking for. Consider rereading this last sentence once you’ve formulated your answer to make sure you did what the question asked.
Partial answers love to prey upon eager test takers who are in a hurry to get the right answer.

9. Approaching Math Problems
Read the question without paying attention to the answer choices
Make sure you understand what the question is asking, and have a plan for finding the answer
Answer the question as if there were no answer choices
Match your answer to the answer choices given
Fill in the appropriate bubble on the answer sheet

10. Using the Answer Choices
There are two reasons why you might come to use the answer choices:
You think plugging in the answer choices is the best tactic for approaching the question
You’re not sure exactly how to answer the question, and you think you can either eliminate all of the wrong answers – or at least some of them – by working with the answer choices
Don’t let them influence you! Try to utilize them wisely.

11. Calculator tips STO function LOGBASE Vertical Fractions
Squaring negatives
Permutations / Combinations
Permutation: ORDER MATTERS; a choice of r things from a set of n, nPr
Combination: ORDER DOES NOT MATTER; a choice of r things from a set of n, nCr

12. Equations & Complex Solutions
5 𝑥 2 +20=0
𝑥 2 +15=0

13. Solving 1st Degree Equations
3𝑥+5𝑦𝑖=−18+20𝑖
−16−3𝑖=8𝑥+𝑦𝑖

14. Solving 1st Degree Equations
3−5𝑖+2𝑖𝑥=3𝑖− 1−𝑖 𝑥