Lesson 1

Question 1

Algebra Strategies

Answer 1

VITAC: Variables in the Answer Choices

PUT: Problems with Unknown Totals

Question 2

VITAC

Answer 2

1) Choose easy # (‘s) to replace variable(s) (2,3,10) and write them down!
2) Plug my numbers into problem and solve (circle answer)
3) Plug my numbers into all 5 answer choices and find a match

Question 3

PUT (Problems with Unknown Totals and Fractions or Percents in the Answer Choices)

Answer 3

Fractions: Multiply all denominators

Percentages: Use 100 (usually for the oldest number)

Question 4

Quantitative Comparison Strategy

Answer 4

1) Simplify! Basically, never multiply or divide by anything negative or that could be negative
2) Eliminate D when there are no variables
3) QC Number Testing: Choose -10,-1,-1/2,0,1/2,1,10. Must try multiple Numbers. Try to get to D!

Question 5

XConABQ

Answer 5

X: variable
Con: Does it meet the condition(s)
A: Value for Quantity A with our #
B: Value for Quantity B with our #
Q: Letter answer to the question

Question 6

Percent Change

Answer 6

(Difference/Original)*100

Question 7

Percent “Than” Question Strategy

Answer 7

1) Determine What/Who follows the word “Than”
2) Start with your “Than” number. Then perform the operation one the “Than” number: 20% greater than 12=12+(20/100)*12;
3) Simplify

Question 8

X^2*X^3=

Answer 8

X^5

Question 9

(X^2)^3=

Answer 9

X^6

Question 10

(X/Y)^2=

Answer 10

(X^2)/(Y^2)

Question 11

(X^5)/(X^3)=

Answer 11

X^2

Question 12

X^-2=

Answer 12

1/(X^2)

Question 13

X^(2/3)=

Answer 13

Cubed Root (^3) of (X^2)

Question 14

X^0=

Answer 14

1

Question 15

Square root of (x*y)

Answer 15

Square root of X * Square root of Y

Question 16

Square root of X / Square root of Y

Answer 16

Square root of (X/Y)

Question 17

Square root of X^3

Answer 17

(Square root of X)^3