MISC
A marble is in the shape of a sphere with a diameter of 13 millimeters. Which measurement is closet to the volume of the marble in cubic millimeters?
1,150mm3
Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W'K'R'P′. Which rule describes this transformation?
A (x y, ) → (x − 4, y + 5)
B (x y, ) → (x + 4, y − 5)
C (x y, ) → (x + 4, y + 5)
D (x y, ) → (x − 4, y − 5)
A (x y, ) → (x − 4, y + 5)
A student solved the equation x2 = 132 to find the length of the diagonal of a square in centimeters. Which measurement is closest to x, the length of the diagonal of this square, in centimeters?
A 66 cm B 44 cm C 33 cm D 11 cm
D 11 cm
Which set of ordered pairs represents y as a function of x?
A (0, 0.5), (2, 1.5), (−5.5, 5), (−5.5, −6)
B (5, −7), (3, −7), (−9.2, −7), (9.2, −7)
C (9.3, −1), (7.3, −2), (7.3, 2), (9.3, 1)
D (8.1, 9), (9.1, 10), (10.1, 9), (9.1, 8)
B; (5, −7), (3, −7), (−9.2, −7), (9.2, −7)
A customer will borrow $12,000 to buy a car. Which loan option would allow the customer to pay the least amount of interest?
F A 4-year loan with a 5.2% annual simple interest rate
G A 5-year loan with a 4.2% annual simple interest rate
H A 6-year loan with a 4.7% annual simple interest rate
J A 3-year loan with an 8.4% annual simple interest rate
F A 4-year loan with a 5.2% annual simple interest rate
A bowling ball shaped like a sphere has a diameter of 21.6 centimeters. Which measurement is closest to the volume of the bowling ball in cubic centimeters?
5,276.7 cm 3
A transformation is applied to a figure to create a new figure on a coordinate grid. Which transformation does NOT preserve congruence?
F A rotation of 270° counterclockwise
G A reflection across the y-axis
H A dilation by a scale factor of 1.5
J A translation of 50 units down
A dilation by a scale factor of 1.5
An online candy store sells 3 pounds of fudge for $54.99. Which function represents the relationship between x, the number of pounds of fudge ordered, and y, the total cost in dollars?
A y = 3(54.99)x
B y = 54.99 3 x
C y = (54.99 – 3)x
D y = 54.99x – 3
A y = 3(54.99)x
The area of a piece of land is 4,951,000 square meters. How is this number of square meters written in scientific notation?
F 4.951 × 106
A student’s parents invested $5,000 in a college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made. Which amount is closest to the interest earned on the account at the end of 15 years?
A $5,174.11
B $10,174.11
C $3,637.50
D $8,637.50
C $3,637.50
The diameter of a cylinder is 2.5 inches, and the height is 7.5 inches. Which equation can be used to find V, the volume of the cylinder in cubic inches?
V = π(1.25) (7.5)
Triangle KLM is rotated 270° clockwise about the origin to create triangle K’L’M’. Which rule describes the transformation that is applied to triangle KLM?
A (x, y) → (y, –x)
B (x, y) → (–x, –y)
C (x, y) → (–x, y)
D (x, y) → (–y, x)
(x, y) → (–x, y)
The volume of salt water on Earth’s surface is approximately 350,000,000,000,000,000,000 gallons. How is this number written in scientific notation?
A 3.5 × 1016
B 3.5 × 1020
C 35 × 1016
D 35 × 1020
B 3.5 × 1020
The dimensions of a rectangular prism are shown in the diagram
H= 10 in.
W= 8 in
L = 16 in.
What is the total surface area in square inches of the prism?
736
Triangle XYZ is rotated 90° clockwise about the origin to form triangle X Y′ ′Z′.
Which statement is true?
F The sum of the angle measures of triangle XYZ is 90° less than the sum of the angle measures of triangle X Y′′′ Z .
G The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X Y′′′ Z .
H Triangle XYZ is not congruent to triangle X Y′′′ Z .
J The area of triangle XYZ is equal to the area of triangle X Y′′′ Z .
J The area of triangle XYZ is equal to the area of triangle X Y′′′ Z .
The diagram shows the height of a cone that holds ice cream. The Height is 4.5in. The cone has a volume of 1.5π cubic inches.
1.0in
An investor deposited $6,100.00 in an investment account.
• The account pays 3.1% interest compounded annually.
• The investor leaves the money in the account for 2 years.
• The investor makes no additional deposits or withdrawals.
What is the balance in the account at the end of the 2 years?
$6,484.06
A box of rice is shaped like a rectangular prism. The box has a length of 6 inches, a width of 1.5 inches, and a height of 8.5 inches.
What is the total surface area of the box in square inches?
145.5 in.2
The diagram represents a ramp in the shape of a right triangle and the lengths of two of its sides in feet. What is the length of the ramp in feet?
H = 11 FT
L = 60FT
61 FT
A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week. Which function can be used to find t, the total number of gallons of water in the tank after w weeks?
t = −15w + 275
-Account I earns 1.5% annual simple interest.
-Account II earns 1.5% interest compounded annually.
Which amount is closest to the difference between the balances of the two accounts at the end of the 4 years?
$1.64
A Cylindrical swimming pool has a radius of 9 feet and a height of 4 ft. Which equation can be used to find V, the volume of the swimming pool in cubic feet.
V=(PIE)(9)2 (4)
The total annual cost to attend a community college is $4,000. The college offered a high school senior a scholarship for $1,500. The student can get a student loan for $1,000 but will need to earn enough to pay the remaining cost. It is 5 months until the remaining cost must be paid.
What is the minimum amount the student needs to earn per month to save enough money to pay the remaining cost?
$300
Ben deposits $1,750 into each of two savings accounts.
• Account I earns 2.75% annual simple interest.
• Account II earns 2.75% interest compounded annually.
Ben does not make any additional deposits or withdrawals. Which amount is closest to the difference between the interest Ben will earn in Account I and the interest Ben will earn in Account II at the end of 2 years?
$1.32
A college has two classrooms of students.
• Classroom A had 70 students.
• Classroom B had 30 students.
• Classroom A sent groups of 4 students to Classroom B until both classrooms had the same number of students.
The equation shown can be used to find the number of groups that Classroom A sent to Classroom B so each classroom had the same number of students.
70 − 4x = 30 + 4x
How many groups did Classroom A send to Classroom B?
5