Name: ____________________________
MP1 Quarterly Review
1
A satellite television company charges a onetime installation fee and a monthly service
charge. The total cost is modeled by the equation
𝑦 = 40 + 90𝑥. Which statement represents the
meaning of each part of the equation?
Date: _________
Algebra I Common Core
5
The length of a rectangular room is 7 less
than three times the width, w, of the room.
Which expression represents the area of the
room?
(1)
y is the total cost, x is the number of months of
service, $90 is the installation fee, and $40 is
the service charge per month.
(2)
(2)
y is the total cost, x is the number of months of
service, $40 is the installation fee, and $90 is
the service charge per month.
(4)
(3)
x is the total cost, y is the number of months of
service, $40 is the installation fee, and $90 is
the service charge per month.
(1)
(4)
2
3
4
(3)
6
(3)
x  35 or x  65
(2)
35  x  65
(4)
x  35 or x  65
Which of the following polynomials has a
degree of three and a leading coefficient of 4?
(1)
4 x  3x 3  2
(2)
4 x  3x 3  2
(3)
3x  4 x 3  2
(4)
3x  4 x 3  2
If x represents a given number, the expression "5
less than twice the given number" is written as
(1)
(2)
(3)
(4)
B2 2
C  25
D 4
Which of the following expressions results in
a rational number?
In New York City the maximum speed limit is
65 mph and the minimum speed limit is 35 mph.
Which inequality represents the range of these
speed limits?
35  x  65
A 3
Given:
x is the total cost, y is the number of months of
service, $90 is the installation fee, and $40 is the
service charge per month.
(1)
MP1
Quarterly Review
(1)
A+B
(2)
B+C
(3)
C+D
(4)
A+D
7
If 𝑛 + 7 represents the first even integer, write
an expression which would represent five less
than triple the third consecutive even integer.
8
What is the value of x in the equation below?
5
𝑥 + 1 = 7𝑥 − 2
6
9
Solve the following equation for m:
mx
b  e
a
12
Students in Ms. Scarpati’s class were asked to
write expressions equivalent to
10𝑥 2 − 20𝑥 − 30 for extra credit. The following
expressions were handed in for credit:
Tim: 5(2𝑥 2 − 4𝑥 − 6)
Jane: 10(𝑥 − 3)(𝑥 + 1)
Ralph: 10(𝑥 + 3)(𝑥 − 1)
Falisha: 10𝑥(𝑥 − 2) − 30
Which students received the extra credit points?
Justify your response.
13
You are looking to join a monthly coffee
delivery club. Your search has been narrowed
down to the two top rated clubs on the Internet.
Five Star Coffee charges $40 start-up fee and
then $8 per month, m. Custom Coffee Company
charges $22 start-up fee and $12.50 per month,
m.
10 Part A Solve the following equation:
Part B When solving for x in the equation
below, Joe wrote the following as his first
step. Which property of equality did Joe use
to get his first step?
Write an equation for the total cost, T for Five
Star Coffee
_____________________________________
3x  6  5x  20
Write an equation for the total cost, T for Custom
Coffee Company
_______________________________________
11
Find the product and express you answer in
2
simplest form: ( x  2)(3x  4 x  1)
Use your equations to determine how many
months it will take for Five Star Coffee and
Custom Coffee Company to have the same cost.
14
The formula for the area of a trapezoid is
1
𝐴 = 2 ℎ(𝑏1 + 𝑏2 ). Express 𝑏1 in terms of A, h,
and 𝑏2 .
The area of a trapezoid is 50 square feet, its
height is 4 ft and one base is 10 ft. Find the
number of feet in the other base.
15
The volume of a large can of tuna fish can be
calculated using the formula 𝑉 = 𝜋𝑟 2 ℎ. Write an
equation to find the radius, r, in terms V and h.
Determine the diameter, to the nearest inch, of a
large can of tuna fish that has a volume of 66
cubic inches and a height of 3.3 inches.
16
Solve for x algebraically:
3𝑥 − 8(4𝑥 + 3) ≥ 2𝑥 + 39 − 10𝑥
If x is a number in the interval (-5, 0], state all
the integers that satisfy the given inequality.
Explain how you determined these values.
17
Part A: Solve the following compound
inequality:
−14 ≤ 3𝑥 + 2(𝑥 − 2) < 11
Part B: Write the solution set of the compound inequality
in interval notation.
Part C. Graph the solution set of the inequality on the
following number line:
Part D. List all odd integers in the solution set of the
compound inequality.