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ALG2/TRIG Regents Review #1
Directions:
DUE DATE:
Choose the best answer. Answer ALL questions. Show ALL work in
column 2. If there is no mathematical work to be shown, write an explanation or
definition to support your answer! This counts as a quiz grade!!!
1. What are the roots of the equation
x2 5x 2 = 0?
1.
2.
3.
4.
2. Factor completely: 2a2 + 2a 84
1.
2.
3.
4.
(2a 7)(a + 6)
2(a 7)(a 6)
2(a 7)(a + 6)
2(a + 7)(a 6)
3. If f (x) = x - 3 and g(x) = x3, then f (g(3))
is
1. 0
2. 6
3. 24
4. 30
4. Which graph of a relation is also a
function?
5. Which is an equation of the inverse of
y=
x?
1. y =
x
3. y = 3x – 2
6.
2. y = - x
4.
For which positive value of x is the
function
1.
2.
3.
4.
undefined?
5
9
45
0
7. Which diagram represents a relation in
which each member of the domain
corresponds to only one member of its
range?
8. Which equation is represented by the
accompanying graph?
1.
2.
3.
4.
y = |x| - 3
y = (x - 3)2 + 1
y = |x + 3| - 1
y = |x - 3| + 1
9. The height of an object, h(t), is
determined by the formula
h(t) = -16t2 + 256t, where t is time, in
seconds. Which statement about the
object is true?
1. The object will reach a maximum
height.
2. The object will reach a minimum
height.
3. The height of the object will not
change.
10. If point (a, b) lies on the graph y = f(x),
the graph y = f -1(x) must contain point
1.
2.
3.
4.
(b, a)
(a, 0)
(0, b)
(-a, -b)
11. Solve the equation for x:
5  3( x  6)  2( x  6)
1) -7
2) 7
3) 1
4) 
1
5
12. Which diagram represents a one-to-one
function?
13. Which graph represents the solution set
of |2x - 1| < 7?
14. The center and radius of the given circle
(x - 3)2 + (y + 8)2 = 39 are:
1.
2.
3.
4.
(3, -8), r = 39
(-3, -8), r =
(-3, 8), r =
(3, -8), r =
15. Solve the quadratic inequality for x:
x 2  2 x  15  0
1)
2)
3)
4)
 ,3or5, 
 ,  3or5, 
 3, 5
 3,5
16. Which point is not on graph represented
by y = x2 + 3x – 6?
1) (-6, 12)
2) (-4, -2)
3) (2, 4)
4) (3, -6)
17. Let f be a function such that f(x) = 2x – 4
is defined on the domain 2  x  6 . The
range of this function is
1) 0  y  8
3) 2  y  6
2) 0  y  
4)    y  
18. The zeros of the function
f(x) = (x + 2)2 - 25 are
1) -2 and 5
2) -3 and 7
3) -5 and 2
4) -7 and 3
19. The function h(t) = -16t2+144 represents
the height, h(t), in feet, of an object from
the ground at t seconds after it is dropped.
A realistic domain for this function is
1)  3  t  3
2) 0  t  3
3) 0  h(t )  144
4) all real numbers
20. In the equation x2 +10x +24= (x+a)(x+b),
b is an integer. Find algebraically all
possible values of b.