Download Keystone Algebra 1 Prep - Module 1 Name: Date: 1. Simplify this

Keystone Algebra 1 Prep - Module 1
Name:
1.
Date:
1
2
A.
2.
(56
Simplify this expression:
B.
1
2
C.
14)
2
42
4.
3( 2 + 6)
D.
1
The total cost in dollars, y, of a membership at
each of four health clubs is represented below
in terms of x, the number of months of the
membership.
Health Club A:
y = 12x + 60
Health Club B:
x
y
What value of n makes the following equation
true?
p
n2 = 10
A.
5
B.
10
C.
20
0
$ 0
2
$42
1
D. 100
3
3.
1
2x
y2 =
y3 = 3x
5
5
$63
4
$84
Health Club C:
Three linear equations are shown below.
y1 = 2x
$21
5
Which statement about the three linear equations
is incorrect?
A.
All three equations have the same slope.
B.
Equations y1 and y2 have negative slopes.
C.
All three equations have the same y-intercept.
Health Club D:
A customer pays a one-time fee of $20 plus
$20 each month for x months.
D. Equations y2 and y3 have the same y-intercept.
Which representation has the greatest rate of
change?
page 1
A.
Health Club A
B.
Health Club B
C.
Health Club C
D. Health Club D
5.
The line y = 2x + 5 is graphed below.
8.
Which graph best represents the solution to this
system of inequalities?
2x
2x
y 1
5y 10
A.
What is the value of x when y is
A.
6.
1
1
C.
4
D. 11
Which ordered pair satis es the following
equation?
y = 4x
7.
B.
B.
3?
3
A.
(0; 3)
C.
(0;
B.
3
4)
C.
(3; 0)
D. (
3
4 ; 0)
What is the y-value of the solution to the following
system of linear equations?
y=x+8
x + 2y = 1
A.
7
B.
5
C.
3
D.
D. 13
page 2
Keystone Algebra 1 Prep - Module 1
9.
What system of inequalities best represents the
graph shown below?
A.
y > 2 and y > x + 1
B.
y > 2 and y < x + 1
C.
y < 2 and y > x + 1
10.
Use the system of two linear equations graphed
below to answer the question.
What is the solution to the system of linear
equations?
D. y < 2 and y < x + 1
page 3
A.
( 5; 4)
B.
(1; 3:5)
C.
y= x+1
D. y = 3:5x + 1
Keystone Algebra 1 Prep - Module 1
11.
12.
Which of the following functions of x has an appearance range of f 1; 0; 2g?
A.
B.
C.
D.
The domain and the range of g, a function, are
shown in the table below.
13.
x
g(x)
1
1
3
9
0
2
3
4t
5
Which of these de nes function g ?
g(x) = 3x
4
C.
g(x) = 4x + 3
=
6
20
What operation should Toni perform to solve the
equation for t?
3
A.
Toni needs to solve the equation shown below.
B.
g(x) = 3x + 4
D. g(x) = 4x
A.
multiply both sides by
B.
divide both sides by
C.
add
3
4
page 4
3
4
to both sides
D. subtract
3
3
4
3
4
from both sides
Keystone Algebra 1 Prep - Module 1
14.
What is the solution to the equation below?
19.
x+1
x
=
4
3
15.
A.
x= 4
C.
x=
16.
17.
18.
A.
B.
1
7
20.
4
7
What are the solutions to the equation below?
11x
21 = 0
A.
7,
1.5
B.
C.
1,
21
D. 7,
21.
4.5, 1.0
3
x2
16
A.
(x
4)(x + 4)
B.
C.
(x
4)(x
D. (x
2x2
C.
2x2 + x
2x
Solve the equation V =
B.
y
x
C.
x6
y6
D.
y6
x6
(x
2x2
A.
x2
4
B.
C.
x2
4x + 4
D. x2 + 4x
(3x2 y
B.
5x2 y2 + 6x2 y
14y2 + 6y
8)(x + 8)
C.
11xy2 + 20y2
6y
8)(x
D. 17xy2 + 20y2
6y
22.
x2 + 4
4
Which of the following is equivalent to the
algebraic expression below?
3x2 y + 8xy2 + 14y2 + 6y
8)
2)2 ?
Which expression is equivalent to (x
A.
Which of the following expressions is equal to
(x + 2) + (x 2)(2x + 1)?
A.
B.
(8xy2 + 6x2 y + 17y2 )
What is the factored form of the expression below?
4)
x
y
x= 1
D. x =
2x2
Simplify: (x2 y 3 x 4 y5 )3
6y + 3y2 )
Which equation represents a line that is parallel to
y = 54 x + 2?
4x
A.
y=
D. 4x2 + 2x
C.
y = 54 x + 3
5
4x
+1
B.
y=
4
5x
+2
D. y = 54 x + 4
r2 h
for h.
3
A.
h=
V
3 r2
B.
C.
h=
r2
3V
D. h =
h=
3V
r2
V r2
3
page 5
Keystone Algebra 1 Prep - Module 1
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Keystone Algebra 1 Prep - Module 1
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05/09/2014