QUADRATIC RELATIONS II REVIEW
(WORKSHEET)
For questions 1 to 10, choose
the best answer.
1. Which expression is equivalent
to (x – 3)(x + 3)?
A x2 – 6x + 9
C x2 – 9
B x2 + 6x + 9
D x2 + 9
2. Which expression is the result of
expanding and simplifying
(3x + 1)(4x – 3)?
A 12x2 – 12
B 12x2 – 5x – 3
2
C 12x + 5x – 3 D 12x2 – 5x + 3
3. Which expression is the result of
expanding and simplifying
(x + 14)2?
A
B
C
D
x2 + 196
x2 + 28x + 196
x2 + 14x + 196
x2 – 196
4. Which expression is the factored
form of x2 + x – 30?
A (x + 5)(x – 6)
B (x + 6)(x – 5)
C (x + 15)(x – 2)
D (x – 15)(x + 2)
5. Which is the y-intercept of the
relation y = 2x2 + 6x + 7?
A2
C6
B 3.5
D7
6. Which expression is the factored
form of –3x2 – 3x + 6?
A –3(x + 2)(x – 1)
B –3(x – 2)(x + 1)
C 3(x + 2)(x – 1)
D 3(x – 2)(x + 1)
7. Which expression is the factored
form of 6x2 – 54?
A
B
C
D
6(x – 3)(x – 3)
6(x + 3)2
6(x – 3)(x + 3)
6(x – 3)2
Foundations for College Mathematics 11: Teacher’s Resource
BLM 5–14 Chapter 5 Practice Test
8. Which relation is the same as
y = –3(x + 4)2 + 5?
A y = 3x2 + 8x + 21
B y = –3x2 – 24x + 5
C y = –3x2 + 8x – 43
D y = –3x2 – 24x – 43
9. Which is the equation for the
axis of symmetry for the relation
y = (x – 2)(x + 6)?
A x=2
C x = –6
B x = –2
D x = –8
10. What are the zeros of the relation
y = 3x2 – 15x + 12?
A 4 and 1
C –4 and–1
B 0 and 1
D –4
11. Answer true (T) or false (F) for
each statement.
a) The x-intercepts is another
term for the zeros.
b) The greatest common factor
of 6x2 + 15x + 18 is 6.
c) The y-intercept of
y = x2 + 6x + 5 is 5.
d) The relation y = 5(x – 4)2 + 6
is written in vertex form.
e) The relation y = 2(x – 3)(x + 4)
is written in standard form.
f) The parabola, y = –(x + 2)2 – 3,
has 2 zeros (x–intercepts).
12. Write an equation for each
quadratic relation in vertex form.
a) y = –2x2 + bx + c with a
vertex at (–3, 4)
b) a = 6, and a minimum value
of 12 at x = 4
13. Express each relation in vertex
form by determining the zeros,
axis of symmetry, and sub &
solving for the y-coordinate.
a) y = x2 + 2x – 24
b) y = –3x2 – 12x + 63
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