Download Algebra II Test #3 Review Sheet Name: Multiple Choice Identify the

Algebra II
Test #3 Review Sheet
Name:
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1.
The function
models the height y in feet of a stone t seconds after it is dropped from the
edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second.
a. 6.67 seconds
c. 9.43 seconds
b. 0.25 seconds
d. 4.72 seconds
____ 2.
Identify the vertex and the axis of symmetry of the graph of the function
a. vertex: (–3, –3);
axis of symmetry:
b. vertex: (–3, 3);
axis of symmetry:
c. vertex: (3, 3);
axis of symmetry:
d. vertex: (3, –3);
axis of symmetry:
.
____ 3.
a. 121i
b. 11
Simplify the number using the imaginary unit i.
c. 11i
d.
____
a.
b.
4.
Simplify the number using the imaginary unit i.
c.
d.
____
5.
A historian took a count of the number of people in a Gold Rush town for six years in the 1870’s.
1870
1871
1872
1873
1874
1875
1876
Year
Population
400
416
422
418
404
380
346
Find a quadratic function that models the data as a function of x, the number of years since 1870. Use the model to
estimate the number of people in the town in 1878.
a.
b.
c.
d.
; 154 people
; 302 people
; 248 people
; 118 people
Algebra II
Test #3 Review Sheet
____ 6.
a.
2

3
b.
3
Use the Quadratic Formula to solve the equation.
c.
3
____ 7.
a. 18, 2
b. 54, 46
Use the Quadratic Formula to solve the equation.
c. 1, 9
d. 9, 1
____
Factor.
8.
d.
a.
b.
c.
d.
____
a.
b.
9.
____
10.
Factor.
c.
d.
Simplify the expression.
a.
c.
b.
d.
____
a.
b.
11.
____
a.
b.
12.
Simplify the expression.
c.
d.
Simplify the expression.
c.
d.

3
2
Name:
Algebra II
____
13.
Test #3 Review Sheet
Simplify the expression.
a.
c.
b.
d.
____
a.
b.
14.
____
15.
Name:
Simplify the expression.
c.
d.
What value completes the square for the expression?
a.
b.
____
c. 6
d. 36
____ 16.
Suppose a parabola has vertex (7, –1) and also passes through the point (8, 2). Write the equation of the
parabola in vertex form.
a.
c.
b.
d.
____
17.
What is the vertex form of the equation?
a.
b.
c.
d.
____
18.
Graph.
____
19.
What is the number of real solutions?
a. one solution
b. cannot be determined
Make sure to show your table of three values (vertex and two other points).
c. two solutions
d. no real solutions
Algebra II
____
20.
Test #3 Review Sheet
Name:
What is the number of real solutions?
a. two real solutions
b. cannot be determined
c. one real solution
d. no real solutions
____
21.
Graph
. Make sure to show your table of three values (vertex and two other points).
____
a.
b.
22.
4
Solve the quadratic equation by completing the square.
c.
d.
4
____
23.
Use the vertex form to write the equation of the parabola.
y
8
6
4
2
–8 –6 –4 –2 O
–2
2
4
6
8
x
–4
–6
–8
a.
c.
b.
d.
Algebra II
____
a.
24.
Test #3 Review Sheet
Name:
Rewrite the equation in vertex form. Name the vertex and y-intercept.
c.
vertex: (–4, –9)
y-intercept: (0, –9)
b.
vertex: (2, – 9)
y-intercept: (0, –5)1
d.
vertex: (2, – 9)
y-intercept: (0, –5)
vertex: (–4, –9)
y-intercept: (0, –9)
____ 25.
What steps transform the graph of
to
?
a. reflect across the x-axis, translate 3 units to the right, translate down 4 units, stretch by the
factor 3
b. reflect across the x-axis, translate 3 units to the left, translate up 4 units, stretch by the
factor 3
c. translate 3 units to the left, translate up 4 units, stretch by the factor 3
d. translate 3 units to the right, translate down 4 units, stretch by the factor 3
26.
____
Solve the system of inequalities by graphing.
27.
(–4, –1)
(–1, –4)
b. (–3, –1)
(–2, –2)
a.
Solve the system of equations by graphing.
c. (–4, 1)
(–1, 4)
d. (–3, 1)
(–2, 2)
Algebra II
____
a.
b.
28.
____
a.
b.
29.
Test #3 Review Sheet
Factor.
c.
d.
____ 30.
a. 5, –3
b. -5, –3
Factor.
c.
d.
Solve by graphing.
c. –5, 3
d. –5, 3
Name:
Algebra II
Test #3 Review Sheet
ANSWER KEY
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
D
A
C
D
C
D
D
A
C
C
A
D
C
B
D
A
D
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
18.
19. ANS: D
20. ANS: A
1
2
3
4
5
x
Name:
Algebra II
Test #3 Review Sheet
y
4
2
–4
–2
2
4
x
2
4
x
–2
–4
21.
22.
23.
24.
25.
ANS:
ANS:
ANS:
ANS:
C
A
B
B
y
4
2
–4
–2
O
–2
–4
26.
27.
28.
29.
30.
ANS:
ANS:
ANS:
ANS:
C
A
A
A
Name: