Document related concepts

Centrality wikipedia , lookup

History of algebra wikipedia , lookup

System of linear equations wikipedia , lookup

Equation wikipedia , lookup

Dual graph wikipedia , lookup

Median graph wikipedia , lookup

Signal-flow graph wikipedia , lookup

Transcript
```FIRST SEMESTER REVIEW
Name:
Date:
1.
Solve for x: 5x
2.
Solve for x: 3(2
3.
Which is a correct procedure for solving
the linear inequality below?
2y + 8 > 4
A.
B.
2(x + 1) = 10.
x) = 8(x
4.
2)
6y
2y + 8 > 4 6y
4y + 8 > 4
4y > 4
y>1
A.
2y + 8 > 4 6y
8y + 8 > 4
8y > 4
y>
1
2
C.
2y + 8 > 4 6y
4y + 8 > 4
4y > 4
y<1
D.
2y + 8 > 4 6y
8y + 8 > 4
8y > 4
y<
In the diagram below, what is the
slope of the line passing through
points A and B?
1
2
page 1
2
B. 2
C.
1
2
D.
1
2
5.
Some ordered pairs for a linear
function of x are given in the table
below.
x
y
1
1
3
7
5
13
7
19
7.
Which of the following equations was
used to generate the table above?
A. y = 2x + 1
B. y = 2x
1
C. y = 3x
D. y = 4x
3
2
8.
6.
The data in the table show the cost of
renting a bicycle by the hour, including
a deposit.
If hours, h, were graphed on the
horizontal axis and cost, c, were
graphed on the vertical axis, what
would be the equation of a line that
ts the data?
A. c = 5h
B. c = 51 h + 5
C. c = 5h + 5
D. c = 5h
9.
5
A local kennel has twice as many
cats (c) as dogs (d). When full, the
kennel has a total of 30 cats and dogs.
Which system of equations could be
used to nd the number of cats in the
kennel when it is full?
A.
c = 2d
c + d = 30
B.
d = 2c
c + d = 30
C.
c + d = 30
c=d+2
D.
c=d 2
c + d = 30
Doug and Laura sold cans of soda to
raise money for a school dance. Doug
sold 4 less than 3 times as many cans
as Laura. Together they sold 300 cans.
Which system of equations could be
used to determine d, the number of
cans Doug sold, and l, the number of
cans Laura sold?
A.
d = 4 3l
d + l = 300
B.
d = 3l 4
d + 3l = 300
C.
d = 3l 4
d + l = 300
D.
d = 3l + 4
d + l = 300
Marcy has a total of 100 dimes and
quarters. If the total value of the coins
is \$14.05, how many quarters does she
have?
A. 27
page 2
B. 40
C. 56
D. 73
FIRST SEMESTER REVIEW
10.
11.
Josh and Andrea each have \$10.50.
Josh spends all his money and buys
2 hamburgers and 3 sodas. Andrea
spends \$7.50 and buys 2 hamburgers
and one soda. What is the cost of one
hamburger?
A. \$1.50
B. \$2.50
C. \$3.00
D. \$8.75
Use the gure below to answer the
following question.
This graph was made to compare the
costs of renting copy machines from
Ames Business Products to those from
Beck's O ce Supply. What information
is given by the point of intersection of
the two lines?
A. the number of copies for which the
xed per-month charge is equal to
the cost of copies
B. the price per copy for renting a
copier from both companies
C. the xed per-month charge
for renting a copier from both
companies
D. the number of copies for which the
total cost per month is the same
for both companies
page 3
FIRST SEMESTER REVIEW
12.
The graph below compares the
income and expenses involved in the
production and sales of tennis shoes at
a shoe factory.
13.
Use the graph below to answer the
question.
The graph above shows the costs of
two phone plans. How many minutes
does a person need to call each month
so that Plan B is the less expensive
plan to use?
How many pairs of tennis shoes must
be sold for income and expenses to be
equal?
A. less than 10 minutes
B. more than 10 minutes but less
than 20 minutes
C. more than 30 minutes but less
than 40 minutes
D. more than 40`minutes
page 4
FIRST SEMESTER REVIEW
14.
Use the system of inequalities to answer the question.
y x+1
y > 3x 2
Which graph shows the solution to this system of inequalities?
A.
B.
C.
D.
page 5
FIRST SEMESTER REVIEW
15.
Which of the following graphs best represents the solution set to the system of linear
inequalities shown below?
3x 5y 15
2x + 3y > 6
A.
B.
C.
D.
page 6
FIRST SEMESTER REVIEW
16.
What are the real roots of the function
in the graph?
17.
The graph of a quadratic function is
shown below.
Which set includes the zeros of this
function?
A. 3
C.
1 and 3
B.
6
D.
6,
1, and 3
page 7
A. f2; 4g
B. f 2; 4g
C. f 4; 2g
D. f 4; 2g
FIRST SEMESTER REVIEW
18.
Look at the graph below.
19.
The graph below shows the amount of
pro t, y, a company makes from selling
x units of merchandise.
How many units of merchandise does
the company need to sell to make the
maximum pro t?
Which of these terms describes the
y-coordinate of the point (2; 6)?
A. zero
B. intercept
C. minimum
D. maximum
A. 100
page 8
B. 300
C. 500
FIRST SEMESTER REVIEW
20.
What are the vertex and the axis of
symmetry of the parabola shown in the
diagram below?
21.
A. The vertex is ( 2; 3), and the axis
of symmetry is x = 2.
Which is an equation of the line of
symmetry for the parabola in the
accompanying diagram?
A. x = 2
B. x = 4
C. x = 3
D. y = 3
B. The vertex is ( 2; 3), and the axis
of symmetry is y = 2.
C. The vertex is ( 3; 2), and the axis
of symmetry is y = 2.
D. The vertex is ( 3; 2), and the axis
of symmetry is x = 2.
page 9
FIRST SEMESTER REVIEW
22.
The graph of the equation y = x2
is shown below.
3x 4
23.
The accompanying diagram shows a
parabola.
Which statement is not true?
A. The equation of the axis of
symmetry is x = 2.
B. The parabola has a minimum
point.
For what value or values of x is y = 0?
C. The turning point of the parabola
is ( 2; 1).
A. x = 1 only
D. The parabola has two x-intercepts.
B. x = 4 only
C. x = 1 and x = 4
D. x = 1 and x = 4
24. Which of the following statements
describes the graph of the parabola
with the equation y = 3x2 ?
A. The graph opens upward, and the
vertex is (0; 0) .
B. The graph opens upward, and the
vertex is (0; 3) .
C. The graph opens downward, and
the vertex is (0; 0) .
D. The graph opens downward, and
the vertex is (0; 3) .
page 10
FIRST SEMESTER REVIEW
25.
26.
Tim kicks a ball o the ground. After
t seconds, its height, h (in feet), is
given by the formula h = 16t2 + 64t.
What is the maximum height reached
by the ball?
A. 80 feet
B. 64 feet
C. 48 feet
D. 16 feet
Antonio threw a ball with an upward
velocity of 6 meters per second from
a height of 8 meters. The formula
h = 4:9t2 + 6t + 8 describes this
situation, where t represents the time
in seconds since the ball was thrown.
27.
28.
Which estimate is closest to the time
it will take the ball to hit the ground
(h = 0)?
A. 0.71 second
B. 0.80 second
C. 1.94 seconds
D. 2.03 seconds
An object that is projected straight
downward with initial velocity v
feet per second travels a distance
s = vt + 16t2 , where t = time in seconds.
If Ramon is standing on a balcony
84 feet above the ground and throws
a penny straight down with an initial
velocity of 10 feet per second, in how
many seconds will it reach the ground?
A. 2 seconds
B. 3 seconds
C. 6 seconds
D. 8 seconds
A ball is tossed into the air. The
height of the ball as a function of
time can be described by the equation
h = 16t2 + 72t. In this equation h is
the height of the ball in feet and t is
time in seconds.
After how many seconds will the ball
hit the ground?
page 11
A. 4 seconds
B. 4.5 seconds
C. 9 seconds
D. 56 seconds
FIRST SEMESTER REVIEW
29.
What is the range of the function
f (x) = x2 6 when the domain is
f3; 4; 5g ?
A. f3; 4; 5g
B. f 3; 2; 1g
C. f3; 10; 19g
D. f0; 2; 4g
31.
Study the graph of y = x2 , shown below.
If the graph is moved up 3 units, what
equation will it represent?
A. y = x2 + 3
30.
C. y = (x
What is the range of the function
f (x) =
1 2
2x
B. y = (x + 3)2
3)2
D. y = x2
3
+4
when the domain is f 2; 0; 4g ?
A. f2; 4; 10g
B. f3; 4; 6g
C. f4; 6; 12g
D. f4; 6; 8g
32.
Given y = x2 , how would the graph of
y = x2 2 di er?
A. It shifts 2 units up.
B. It shifts 2 units down.
C. It shifts 2 units left.
D. It shifts 2 units right.
page 12
FIRST SEMESTER REVIEW
33.
The diagram below shows the graph of y = x2
Which diagram shows the graph of y = x2
c.
c?
A.
B.
C.
D.
page 13
FIRST SEMESTER REVIEW
34. Beth and Jacob are graphing two
equations on a coordinate grid. Beth
has graphed the equation y = x2 + 1.
35.
Which equation represents the graph
of a parabola that opens up and is
wider than the graph of y = x2 ?
A. y = 2x2 + 3x
5
B. y = 12 x2 + 3x
5
C. y = 2x2 + 3x
D. y =
36.
If Jacob graphs y = x2 + 3, where will
his graph be in relation to the graph
(4x2
1 2
2x
+ 3x
5
5
(x2 + 3x
2x + 8)
2) =
A. 3x2 + x + 6
B. 3x2 + x + 10
C. 3x2
D. 3x2
5x + 6
5x + 10
A. 2 units up
B. 3 units up
C. 2 units to the left
37.
D. 3 units to the right
page 14
What is the area of the rectangle
shown?
A. 5a
B. 5a2 b
C. 5a3 b
D. 5a3 b2
FIRST SEMESTER REVIEW
38.
Which expression is equivalent to
(2x 5) (3x 8)?
A.
x
13
B.
C. 2x
16
D. 5x
39.
Which expression is equal to (x + 3)2 ?
A. x2 + 6
B. x2 + 9
C. x2 + 6x + 9
D. x2 + 3x + 9
x+3
3
page 15
FIRST SEMESTER REVIEW
Problem-Attic format version 4.4.218
c 2011–2014 EducAide Software
_
Licensed for use by Joyce Cantu
FIRST SEMESTER REVIEW
12/17/2014
1.
4
21.
C
2.
2
22.
C
3.
B
23.
D
4.
D
24.
C
5.
C
25.
B
6.
C
26.
D
7.
A
27.
A
8.
C
28.
B
9.
A
29.
C
10.
C
30.
C
11.
D
31.
A
12.
800
32.
B
13.
D
33.
A
14.
A
34.
A
15.
D
35.
B
16.
C
36.
D
17.
B
37.
D
18.
D
38.
B
19.
B
39.
C
20.
A
40. Mary has \$50 to spend on mp3
songs. The inequality 2.5x + 5.5 < 50
represents the amount she can spend
for the songs. What is the greatest #
of songs she can buy?
A. 22
B. 17
C. 8
D. 9
41. Solve the system of equations
y = 4x + 3
-2x + y = -1
A. (-2, -5)
B. (2, 11)
C. (1, 7)
D. (-1, -1)
42. Label the number of solutions for
the system of equations shown.
created by Acces for use by Eisenhower High School only.
created by Acces for use by Eisenhower High School only.
created by Acces for use by Eisenhower High School only.
```