Download Name Date Due

Name ______________________________________
Date Due:
Integrated Algebra Regents Review #2 You have one week from the given date.
Directions:
Choose the best answer. Answer ALL questions. Show ALL work in
column 2. If there is no mathematical work to be shown, write an explanation or
definition to support your answer! This counts as a quiz grade!!!
Note: please take your time and do it Right this time.
1. The expression (3c - 3d) - (c - 3d) when
simplified is
[1] 2c-6d
[2] 2c
[3] 4c - 6d
Work here:
[4] 4c
2. If the product of 3x2 - 7y + 6 and
4x2 - 3 , the result is
Work here:
3. The expression (4a + 2b) - (2a - 3b) - (a - b) Work here:
when simplified is
[1] 6a + 6b
[2] a + 6b
[3] -2b
[4] 6b
4. (x + 4)2 =
[1] x2 + 16
[3] x2 + 8x + 16
Work here:
[2] x2 + 4x + 16
[4] x2 + 4x + 8
5. Solve and graph on a number line
2x - 5 > x – 2
[1] x < 3
[3] x < -5
Work here:
[2] x > 3
[4] x > -2
1
6. Solve for x: 0.7x + 2(x - 3) = 0.2x + 3
Work here:
Write your solutions in a Set Notation
7. Given y = 3x, evaluate y when x = 3.
[1] 3
[2] 9
[3] 27
Explain:
[4] 81
8.
On t
Graph the function represented by
for the domain
.
9.
When solving the equation
Emily wrote
1)
2)
3)
4)
,
as her first step.
Which property justifies Emily's first step?
addition property of equality
commutative property of addition
multiplication property of equality
distributive property of multiplication
over addition
2
Work here:
10.Solve the system by substitution
2x+ y= 6
X - 3y = -11
1] (1, 4)
3] (4, 1)
1] (1, -4)
4] (5, 7)
Work here:
11.Which statement is true about the line that
passes through the points (9, 2) and (9, -4)?
[1] Its slope is 9.
[3] Its slope is 0.
[2] Its slope is
.
[4] Its slope is undefined
Work here:
12. The relation {(1, 10), (0, -2), (6, -5)} is a
function. Which of the ordered pairs below could be
added to this relation and it would still be a
function?
1] (1, -2)
3] (-7, -5)
1] (0, 4)
4] (6, -8)
Work here:
13.Which equation represents the function shown
in the accompanying graph?
1] f(x) = |x| +1
2] f(x) = |x| -1
3] f(x) = |x + 1|
4] f(x) = |x - 1
3
Explain:
14.
Graph the following system of inequalities:
y ≥ -3x + 1
2y - 4x < 6
Which of the following points is part of the
solution set for the system of inequalities?
[1] (1, -3)
[3] 2, 2)
[2] (-1, 4)
[4] (0, 0)
Work here:
15. Find the quotient indicated in the following
expression:
[1]
[2]
[3]
[4]
Work here:
16. If 4r  5n  30  r , then n equals
[1] 10  1 23 r
[3] 6  n
3
5
[2] 6  r
[4] 6  53 r
Work here:
17.
17) Officials in a town use a function, C, to
analyze traffic patterns.
represents the rate of
traffic through an intersection where n is the
number of observed vehicles in a specified time
interval. What would be the most appropriate
domain for the function?
4
1)
2)
3)
4)
18. A ball is thrown into the air from the edge
of a 48-foot-high cliff so that it eventually lands
on the ground. The graph below shows the
height, y, of the ball from the ground after x
seconds.
For which interval is the ball's height always
decreasing?
1)
2)
3)
4)
:
Explain:
19. The table below represents the function F.
The equation that represents this function is
1)
2)
3)
4)
Explain:
20.
A cell phone company charges $60.00 a month
for up to 1 gigabyte of data. The cost of
additional data is $0.05 per megabyte. If d
represents the number of additional megabytes
used and c represents the total charges at the
end of the month, which linear equation can be
used to determine a user's monthly bill?
1)
2)
3)
4)
5
6