EDT Study

Question 1

Inequalities

Answer 1

Solve the same as any equation using the golden rule

If you divide by a negative, SWAP the direction of the sign

Question 2

Summation Notation

Answer 2

Re-write summation notation formula for values of ‘n’ and evaluate each one

Sum it all together

Question 3

Factor/Solve a Quadratic Equation

Answer 3

Reverse FOIL to find value of X where function = 0

(Find the original numbers in:
( x + … ) ( x + … )

Question 4

Absolute Values

Answer 4

Isolate the absolute value expression

Set-up two scenarios: (+) Positive and (-) Negative

Apply negative to term AFTER = sign

Solve each case

Check your work by plugging newfound values into the ORIGINAL equation… Remember |x| CANNOT = a negative or a different number

Question 5

Expand a Quadratic Equation

Answer 5

Use FOIL method

(first, outside, inside, last)

Question 6

Solve for a Percentage of ‘x’ (solve for part)

Answer 6

Re-arrange the percentage equation

Convert to a fraction and solve

Question 7

Solve for ‘y’ is what percent of ‘x’?
(solve for percent)

Answer 7

Plug figures into general percent equation

Percentage = (Part / Whole) * 100

Question 8

Percentage Equation

Answer 8

Percentage = (Part / Whole) * 100

Question 9

Calculating Decimals

Answer 9

Divide fraction’s numerator by its denominator

Question 10

Contrapositive

Answer 10

Identify logic statement

Reverse all the terms

Negate each term

Swap “ands” and “ors” in statement

Question 11

Critical Reasoning

Answer 11

Understand the objective of the Q (conclusion, assumption)

Identify premise or belief (look for keywords - since, because, therefore, due to, so clearly)

Select the best answer

Question 12

Logic Puzzles: Groupings

Answer 12

Uncover sets or sub-sets (e.g., categories, present vs. absent)

Use formal logic

1. Convert to IF -> THEN Statement
2. Form contrapositives to glean more info
3. Combine logic statements (if result is another statement’s trigger)
4. Answer question using visual aids

Question 13

Logic Puzzle: Sequencing

Answer 13

Determine order of elements (e.g., space - vehicle in parking lot race results OR time - schedule/calendar)

Use a matrix / table to organize information

Question 14

If –> Then Statements

Answer 14

Trigger –> Result

Trigger: Fact that guarantees certain result

Result: The result

Question 15

How to graph a porabola

Answer 15

Find y-intercept by setting x=0

Find x-intercept by setting y=0

Find midpoint of the porabola (axis of symmetry) using equation xMID = -b/2a

Find vertex by finding y-value at xMID

Question 16

Graph a line (linear)

Answer 16

Re-arrange equation to y = mx +b format

Plot the y-intercept (b)

Use slope (rise/run) to plot a 2nd point

Connect points to graph line

Question 17

Graph a Porabola (Quadratic function)

Answer 17

Rearrange to y = ax² + bx + c format

Find the y-intercept (set x = 0)

Find the x-intercept (set y = 0)

Find axis of symmetry using -b/2a

Find vertex by solving for y at x-axis of symmetry

Connect points to graph the porabola

Question 18

Calculate the distance between 2 lines

Answer 18

Use Pythagorean theorem using info from the points you have

Question 19

Framework for analyzing data
[memo writing]

Answer 19

1. LOOK: Ask the 5 W’s
2. SEE: What are you seeing in the trends (increasing/decreasing; fast/slow)
3. IMAGINE: Develop the thesis/premise for your introduction (The data looks at [topic] in [populations] and it would appear that [this] is happening

Question 20

Memo writing structure

Answer 20

1. Introduction (2-3 sentences) - THESIS
2. Body (~12 sentences) - OBSERVATION
3. Conclusion (~12 sentences) - SUMMARY OF INSIGHTS
   • What’s missing in the data
   • Do nothing scenario
   • Strategic or policy alternatives
   • Next steps to improve the situation

Question 21

Calculate slope

Answer 21

y2 - y1 / x2 - x1

Question 22

Anything to the power of zero (0)

Answer 22

Is one

Question 23

Multiply square roots

Answer 23

Put everything under one root

Question 24

Divide square roots

Answer 24

Put everything under one root

Question 25

Simplify square roots

Answer 25

Factor out perfect squares

Question 26

Multiply fractions

Answer 26

Multiply numerators; Multiply denominators

Question 27

Negative powers

Answer 27

One over the base to the same power as a positive

Question 28

Solve a quadratic formula with squared parentheses

Answer 28

Take the positive and negative square roots

Question 29

Have addition or subtraction in the denominator

Answer 29

Pull out a factor from the denominator and cancel that factor from one in the numerator (Never split the fraction in 2!)

Question 30

Raise anything except zero (0) to a negative power

Answer 30

Get 1 over that same thing number to the corresponding positive power

Question 31

Add or subtract terms with the same base

Answer 31

Pull out the common factor

Question 33

Quadratic formula

Question 34

Expectations for the memo

Answer 34

- Written in full sentences - Include 3 sections: 1. Intro (5 sentences with thesis) 2. Body (12 sentences, 3-5 observations that support the thesis) 3. Conclusion (insights and critical points for the reader to understand)

Question 36

Is the Quadratic equation: - Always negative - Always positive - Always positive or negative?

Answer 36

- Set y=0 to find # of x-intercepts - If 2: Positive AND negative (depending on value of X) - If 1: Positive if porabola is up, negative if porabola is down - If 0: Positive if porabola is up, negative if porabola is down

Question 37

Solving AGE word problems (Process)

Answer 37

1. Define variables 2. Identify unknown(s) you’re solving for 3. Understand relationships and translate into math equations USING A TABLE - Understand PAST and FUTURE ages and adjust 4. Set up equation for given conditions and solve for the variable 5. VERIFY your answers