Algebra Spring Break 2017
Name:
Date:
1.
What expression is equivalent to 16x2 36? (Hint:
Divide by GCF rst!! Then square root)
2.
What is the solution set of the equation
(x 2)(x a) = 0?
A.
C.
3.
2 and a
2 and a
B.
2 and
D. 2 and
4.
What are the roots of the function graphed below?
5.
Simplify the expression 2(3g
6.
Which value of x is a solution to the equation
13 36x2 = 12? (Subtract 13 on both sides rst!
Remember to check the website for answers)
a
a
4)
4(8g + 3).
What are the roots of the function f (x) = x2 7x 8?
A.
page 1
36
25
B.
25
36
C.
6
5
D.
5
6
7.
8.
A.
(x
3)2 = 6
B.
(x
3)2 = 6
C.
(x
3)2 = 3
D. (x
3)2 = 3
Two friends went to a restaurant and ordered one
plain pizza and two sodas. Their bill totaled
$15.95. Later that day, ve friends went to the
same restaurant. They ordered three plain pizzas
and ve sodas. Their bill totaled $45.90.
Write and solve a system of equations to determine
the price of one plain pizza.
How many solutions are there when you
GRAPH the system of equations below? (put
into y = mx + b)
y = 3x
6x
2
11.
2y = 4
5 on the set
…
Part A. Graph the inequality y > 2x
of axes below.
Alex launched a ball into the air. The height
of the ball can be represented by the equation
h = 8t2 + 40t + 5, where h is the height, in
units, and t is the time, in seconds, after the ball
was launched. Graph the equation from t = 0 to
t = 5 seconds.
Y
X

…
State the coordinates of the vertex and explain its
meaning in the context of the problem.

9.
10.
The method of completing the square was used
to solve the equation 2x2 12x + 6 = 0. Which
equation is a correct step when using this method?
(Divide by GCF rst)
Part B. State the coordinates of a point in its
solution.
page 2
Algebra Spring Break 2017
12.
Which chart could represent the function
f (x) = 2x + 6?
A.
x
0
10
6
18
x
f (x)
0
2
4
6
13.
B.
6
2
4
C.
f (x)
x
0
f (x)
4
2
14
4
D.
8
10
6
8
6
10
x
f (x)
0
A.
f (x) = 4x
B.
2x + 3y = 12 (put into y = mx + b form)
C.
g(x) = 3x + 1
D.
2
4
14
Which function has the greatesty-intercept?
6
2
12
15.
2
6
6
What is the solution to 2h + 8 > 3h
16.
6?
A.
h < 14
B.
h<
14
5
C.
h > 14
D. h >
14
5
Which function has a constant rate of change
(SLOPE) equal to –3?
A.
x
y
0
2
2
8
1
5
3 11
B.
f(1; 5); (2; 2); (3; 5); (4; 4)g
C.
14.
Which expression is equivalent to 36x2
(Divide by GCF 4 then factor more!)
A.
4(3x
5)(3x
C.
2(9x
25)(9x
5)
25)
B.
100?
4(3x + 5)(3x
D. 2(9x + 25)(9x
5)
25)
D. 2y = 6x + 10
page 3
Algebra Spring Break 2017
17.
18.
What are the solutions to the equation
3x2 + 10x 8 = 0? (A x C factor, then factor by
grouping)
A.
2
3
and –4
B.
2
3
and 4
C.
4
3
and –2
D.
4
3
and 2
19.
The function f (x) = 3x2 + 12x + 11 can be written
b
in vertex form as
2a
A.
f (x) = (3x + 6)2
25
B.
f (x) = 3(x + 6)2
25
C.
f (x) = 3(x + 2)2
1
Based on the graph below, which expression is a
possible factorization of p(x)? ( nd roots, switch
signs)
A.
(x + 3)(x
B.
(x
C.
(x + 3)(x
D. (x
2)(x
4)
3)(x + 2)(x + 4)
5)(x
2)(x
4)
3)(x + 5)(x + 2)(x + 4)
D. f (x) = 3(x + 2)2 + 7
20.
page 4
The zeros of the function f (x) = 3x2 3x
(Divide by GCF, diamond, then = 0)
A.
1 and
C.
1 and 2
2
B.
D.
1 and
6 are
2
1 and 2
Algebra Spring Break 2017
21.
Graph the equation y = 21 x + 2 on the set of axes
below.
23.
The graph below shows two functions, f (x)
and g(x). State all the values of x for which
f (x) = g(x).
24.
A drama club is selling tickets to the spring
musical. The auditorium holds 200 people.
Tickets cost $12 at the door and $8.50 if purchased
in advance. The drama club has a goal of selling
$1000 worth of tickets to Saturday's show.
CIRCLE the 3 solution points (intersection
points).
Write a system of inequalities that can be used to
model this scenario. (ONLY)
22.
What is the inequality is represented by the graph
below?
25.
For a class picnic, two teachers went to the same
store to purchase drinks. One teacher purchased
18 juice boxes and 32 bottles of water, and spent
$19.92. The other teacher purchased 14 juice
boxes and 26 bottles of water, and spent $15.76.
Write a system of equations to represent the costs
of a juice box, j, and a bottle of water, w. (ONLY)
page 5
Algebra Spring Break 2017
26.
The expression x4
29.
16 is equivalent to
A.
(x2 + 8)(x2
8)
B.
(x2
8)(x2
8)
C.
(x2 + 4)(x2
4)
D. (x2
4)(x2
4)
30.
27.
28.
When 3x + 2
is
A.
x
C.
x
3
5(x
4) is solved for x, the solution
B.
11
x
D. x
3
11
On the set of axes below, draw the graph of
y = x2 4x 1.
An expression of the fth degree is written with a
leading coe cient of seven and a constant of six.
Which expression is correctly written for these
conditions?
A.
6x5 + x4 + 7
B.
C.
6x7
D. 7x5 + 2x2 + 6
x5 + 5
7x6
6x4 + 5
State the equation of the axis of symmetry.
The tables below show the values of four di erent
functions for given values of x.
x
1
2
3
4
f (x)
x
12
1
26
3
19
33
g(x)
x
h(x)
x
k(x)
1
1
9
1
2
17
3
2
1
4
13
2
12
4
24
3
5
2
4
4
14
31.
28
Which table represents a linear function?
A.
f (x)
B.
g(x)
C.
h(x)
The height, H, in feet, of an object dropped from
the top of a building after t seconds is given by
H(t) = 16t2 + 144.
How many feet did the object fall between one
and two seconds after it was dropped?
D. k(x)
.
Determine, algebraically, how many seconds it will
take for the object to reach the ground.
page 6
Algebra Spring Break 2017
Problem-Attic format version 4.4.292
c 2011–2017 EducAide Software
_
Licensed for use by [email protected]
Terms of Use at www.problem-attic.com
Algebra Spring Break 2017
1.
Answer:
Objective:
A-SSE.A
2.
Answer:
C
3.
Answer:
Objective:
A-APR.B
04/03/2017
17.
Answer:
A
18.
Answer:
C
19.
Answer:
A
20.
Answer:
D
21.
Answer:
[description]
4.
Answer:
Objective:
A-APR.B
5.
Answer:
Objective:
A-APR.A
6.
Answer:
Objective:
23.
Answer:
D
A-REI.B
24.
Answer:
7.
Answer:
Objective:
A
A-REI.B
8.
Answer:
Objective:
No
A-REI.C
9.
Answer:
Objective:
[graph]
A-REI.D
10.
Answer:
Objective:
12.05
A-CED.A
11.
Answer:
[graph]; (2:5; 55)
12.
Answer:
D
13.
Answer:
A
14.
Answer:
B
15.
Answer:
D
16.
Answer:
D
22.
Answer:
25.
Answer:
3 and 1
[system of inequalities]; 48
18j + 32w = 19:92, 14j + 26w = 15:76;
[explanation]; j = 0:68, w = 0:24
26.
Answer:
C
27.
Answer:
D
28.
Answer:
A
29.
Answer:
D
30.
Answer:
x=2
31.
Answer:
48, 3.