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Calculus Readiness Test – a
In order to receive full credit, you must show work that makes sense on how you arrived at your answer. There are 30 questions and no calculators are permitted for this test.
1) If 0 ° ≤ x≤ 90 ° , then tan x cosx equals
) sin ) cos ) cot ) sec ) csc
a x b x c x d x e x
2) The expression
4 3 2 3 5
( x y ) x y
− simplifies to:
3 5 6 11 (^29 ) 16
a x^ b x y y c x d x y y e none of these
−
3) If f ( )x = 2 x , and a and b are any positive numbers, then f a( + b) is equivalent to:
b
a f a f b b f a f b c f a d f a f b e none of these
4) The domain of ( ) 1 3
g x x
is:
) [3, ) ) (3, )
) ( ,3) ) ( ,3]
a b c d e none of these
5) The angle^150 °^ in radian measure is given by:
) 5 )^5 12 3 ) 5 )^3 6 4 )
a b
c d e none of these
6) Solve for x:
6.4 x − 3.2 = 4.4 x+1.
a x b x c x d x e none of these
7) One solution to the equation 3 x^2 + x− 5 = 0 is:
) 1 61 6 ) 1 61 6 ) 1 61 6 ) 1 61 6 )
a x^ i
b x i
c x
d x e none of these
=^ − +
8) One solution to the number ( )
1
.01 −^2 is:
a b c d e none of these
9) If f^ ( )x^ =^ x^2 and g x( )^ =^ x^3 +^2 x , what is the
composition (^ f^ ^ g^ )( )x?
( )
5 3 2 2 6 2 3 4
)^2
a x x b x x c x x d x^ x x e none of these
10) Solve log(^ x^ −1)^ =^2
) 21 ) 99 ) 101 ) 1025 )
a b c d e none of these
tan −^1 (1) is equivalent to:
a b c
d e none of these
12) In the right triangle, a = 8 & c = 10 , find
tan A.
) 5 )^3
) 3 )^4
a b
c d e none of these
13) One solution to the equation,
x
x x
is:
a x b x c x d x e none of these
14) The expression
2 2 2 2
a b b a
simplifies to:
2 2 2 2 2 2 2 2 2 4
)
)
)
)^1 1 )
a a b b b a c a^ b a b d a b e none of these
15) Find the equation of the line through the two points (5,3) & (-1,6).
a y x
b y x c y x d y x e none of these
23) If the roots of a function are ±3 ,^ i^ −^1 , what
is a possible equation?
3 2 3 2 3 2 3 2
a y x x x b y x x x c y x x x d y x x x e none of these
24) If f^ ( )x^ =^3 x−^1 , then the inverse function
is:
( )
( )
1 3 1 3 1 1 3 1 3
a f x x b f x x c f x x d f x x e none of these
− − − = −
25) Find the system of equations that match the graph:
) 2 7 ) 2 7 2 6 2 6
) 2 7 ) 2 7 2 6 2 6 )
a y x b y x x y x y
c x y d x y x y x y e none of these
26) Which of the following graphs represents the equation y = 2 x^2 − 4 x− 3?
27) If f^ ( )x^ =^ cos 3x , then (^ )
f^ π^ =
) 0 ) 3 2 )^1 2 ) 1 )
a b
c d e none of these
28) sin 2 θ cot θ secθ is equivalent to:
2
) sin ) cos ) sin cot ) sin cot )
a b c d e none of these
θ θ θ θ θ θ
29) If f(x) is a function whose graph is shown below, then f(x) > 0 whenever:
) 2 ) 0 ) 2 1 ) 2 1 )
a x b x c x d x or x e none of these
> > − < < < − >
30) The line y^ =^ x+^1 and the parabola y^ =^2 x^2 intersect when x^ =^1 and when x^ =?
)^1
a
b c d e none of these
ANSWERS
