Algebra I
Ashley only has 7 quarters and some dimes in her purse. She needs at least $3.00 to pay for lunch. Which inequality could be used to determine the number of dimes, d, she needs in her purse to be able to pay for lunch?
(1) 1.75 + d ≥ 3.00
(2) 1.75 + 0.10d ≥ 3.00
(3) 1.75 + d ≤ 3.00
(4) 1.75 + 0.10d ≤ 3.00
(2) 1.75 + 0.10d ≥ 3.00
What is the volume of a right circular cone that has a height of 7.2 centimeters and a radius of 2.5 centimeters, to the nearest tenth of a cubic centimeter?
(1) 37.7
(2) 47.1
(3) 113.1
(4) 141.4
(2) 47.1
which statement about parallelograms is always true?
(1) the diagonals are congruent
(2) the diagonals bisect each other
(3) the diagonals are perpendicular
(4) the diagonals bisect their respective angles
(2) the diagonals bisect each other
Students were asked to write 6x5 + 8x - 3x3 + 7x7 in standard form. Shown below are four student responses.
Anne: 7x7 + 6x5 - 3x3 +8x
Bob: -3x3 + 6x5 + 7x7 + 8x
Carrie: 8x + 7x7 + 6x5 - 3x3
Dylan: 8x - 3x2 + 6x5 + 7x7
Which student is correct?
(1) Anne
Right triangle TMR is a scalene triangle with the right angle at M. Which equation is true?
(1) sin M = cos T
(2) sin R = cos R
(3) sin T = cos R
(4) sin T = cos M
(3) sin T = cos R
what is the value of x in the equation
5((2x - 4) / 3) + 9= 14
(1) 1.9
(2) 3.5
(3) 5.3
(4) 8.9
(2) 3.5
After a dilation centered at the origin, the image of CD is C'D'. If the coordinates of the endpoints of these segments are C(6,-4), D(2,-8), C'(9,-6) and D'(3,-12), the scale factor of the dilation is
(1) 3/2
(2) 2/3
(3) 3
(4) 1/3
(1) 3/2
Which expression is not equivalent to 2x2 + 10x +12?
(1) (2x + 4)(x + 3)
(2) (2x + 6)(x + 2)
(3) (2x + 3) (x +4)
(4) 2(x +3)(x +2)
(3) (2x + 3) (x +4)
The expression (5x2 - x +4) - 3(x2 - x - 2) is equivalent to
(1) 2x2 - 2x +2
(2) 2x2 + 2x +10
(3) 2x4 - 2x2 + 2
(4) 2x^4 - 2x^2 +10
(2) 2x2 + 2x +10
The quadratic equation x2 - 6x = 12 is rewritten in the form (x+p)2 = q, where q is a constant. What is the value of p?
(1) -12
(2) -9
(3) -3
(4) 9
(3) -3
In rhombus VENU, diagonals VN and EU intersect at S. If VN = 12 and EU = 16, what is the perimeter of the rhombus?
(1) 80
(2) 40
(3) 20
(4) 10
(2) 40
On the main floor of the Kodak Hall at the Eastman Theater, the number of seats per row increases at a constant rate. Steven counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20?
(1) 65
(2) 67
(3) 69
(4) 71
(1) 65
It takes Tim 4.5 hours to run 50 kilometers. Which expression will allow him to change this rate to minutes per mile?
(1) 4.5hr/50km × 1.609km/1mi × 60 min/1hr
(2) 50km/4.5hr × 1mi/1.609km × 60min/1hr
(3) 50km/4.5hr × 1mi/1.609km × 1hr/60min
(4) 4.5hr/50km × 1mi/1.609km × 60min/1hr
(1) 4.5hr/50km × 1.609km/1mi × 60 min/1hr
An equation of the line perpendicular to the line whose equation is 4x - 5y = 6 and passes through the point (-2,3) is
(1) y + 3 = -5/4 (x - 2)
(2) y - 3 = -5/4 (x+2)
(3) y + 3 = 4/5 (x - 2)
(4) y - 3 = 4/5 (x + 2)
(2) y - 3 = -5/4 (x+2)
If a1= 6 and an= 3 + 2(an-1)2, then a2 equals
(1) 75
(2) 147
(3) 180
(4) 900
(1) 75
Jon's savings account that compounds annually with an interest rate of 2%. If Jons starts with 10,000, how much money will he have in his account after 3 years?
$10,612.08
In triangle ABC, side BC is extended through C to D. If
m angle A= 30 degrees and m angle ACD= 110 degrees, what is the longest side of triangle ABC?
(1) AC
(2) BC
(3) AB
(4) CD
(1) AC
The volume of a trapezoidal prism can be found using the formula
V = 1/2a(b+c)h
. Which equation is correctly solved for b?
(1)
b= V/2ah + c
(2)
b = V/2ah - c
(3)
b = 2V/ah + c
(4)
b = 2V/ah - c
(4) b = 2V/ah - c
If scalene triangle XYZ is similar to triangle QRS and m angle X = 90 degrees, which equation is always true?
(1) sin Y = sin S
(2)cos R = cos Z
(3) cos Y = sin Q
(4) sin R = cos Z
(4) sin R = cos Z
What are the roots of the following quadratic equation?
y=x^2+5x-36
x=4 x=-9
Square MATH has a side length of 7 inches. Which three-dimensional object will be formed by continuously rotating square MATH around side AT?
(1) a right cone with a base diameter of 7 inches
(2) a right cylinder with a diameter of 7 inches
(3) a right cone with a base radius of 7 inches
(4) a right cylinder with a radius of 7 inches
(4) a right cylinder with a radius of 7 inches