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2024 ACCUPLACER AAF EXAM WITH CORRECT ANSWERS
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2024 ACCUPLACER AAF EXAM WITH CORRECT ANSWERS
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accuplacer AAFStudy online at https://quizlet.com/_br6thw
1. quadratic polynomial formula (239) ax^2 +bx + c
2. Factoring quadratic equation when the leading co- pick up the coeffi-
efficient isn't 1 and you cant factor out the leading cient and move it to
coeficient (240) the constant c. factor,
then replace x with
the number that was
in original equation.
ex. 4x^2 + 5x - 6,
becomes x^2 + 5x -
6(4)
x^2 + 5x - 24 factor
this normally
replace x in
(x+8)(x-3) with 4x.
factor out the GCF
from the first term.
keep second term
SAME.
(4x+8)(4x-3)
4(x+2)(4x-3)
drop the gcf that was
factored out. just re-
move it.
= (x+2)(4x-3)
3. when the leading coefficient isn't 1 in a quadratic factor first
equation (241) then WITHIN the
parentheses
pick up the coeffi-
cient and move it to
the constant c. factor,
then replace x with
the number that was
in original equation.
ex. x becomes 4x
, accuplacer AAF
Study online at https://quizlet.com/_br6thw
from the first set
of parentheses factor
out that first number.
keep second paren-
theses same.
remove that number
that was factored out
of the first parenthe-
ses. just remove it,
no dividing or some-
thing.
4. Difference of Squares Formula (242) a^2-b^2=(a+b)(a-b).
(can use even when
leading coefficient is
not 1)
5. sum of cubes formula a^3 + b^3 = (a+b)(a^2
- ab + b^2)
6. difference of cubes formula a^3 - b^3 = (a - b)(a^2
+ ab + b^2)
7. cubic polynomial formula ax^3 + bx^2 +cx +d
8. "cancelling" is a short way of sqying cancelling out com-
mon factors
9. Function Notation Just plug in the num-
What does f(x) mean? ber
10. notation for combined functions formula addition (f+g)(x) = f(x) + g(x)
11. notation for combined functions formula subtrac- (f-g)(x) = f(x) - g(x)
tion
12. notation for combined functions formula multipli- (fg)(x) = f(x)g(x)
cation
, accuplacer AAF
Study online at https://quizlet.com/_br6thw
13. notation for combined functions formula divi- (f/g)(x) = f(x)/g(x)
sion/fraction
14. notation for composite functions formula (f*g)(x) = f(g(x))
(250) (250)
15. what is a signature point (251) a point that the func-
tion contains (251)
16. parent function: linear (1st degree polynomial) function f(x) = x
signature point (0,0)
(page 251 parent functions)
17. parent function: quadratic (2nd degree polynomi- function f(x) = x^2
al) signature point (0,0)
18. parent function: cubic (3rd degree polynomial) function f(x) - x^3
signature point (0,0)
19. parent function: quartic (4th degree polynomial) function f(x) = x^4
signature point (0,0)
20. parent function: exponential function f(x) = 2^x (2
to the power of x)
signature point (0,1)
21. parent function: logarithmic function: f(x) = log‚(x)
signature point (1,0)
22. parent function: sine function: f(x) = sin x
signature point (0,0)
passes through (0,0)
and rises to y = 1, falls
to -1, returns to 0 and
repeats this cycle in-
definitely
, accuplacer AAF
Study online at https://quizlet.com/_br6thw
23. parent function: cosine function: f(x) = cosx
signature point: (0,1)
passes through (0,1),
falls to y= 0 and then
to -1, returns to (0,1)
and repeats this cycle
indefinitely
24. parent function: absolute value function: f(x) = | x |
(absolute value of x)
signature point: (0,0)
25. parent function: rational function: f(x) = 1/x
signature point: (1,1)
and (-1, -1)
26. parent function: radical function: f(x) = x
signature point: (0,0)
27. Polynomial Formula (251) f(x) = a™x^n + a™ • * x
+ . . . + a‚x^2 + a•x + a€
(251)
28. diagonal line
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