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WorksheetsLast Review Before D.A.
Total questions: 40
Worksheet time: 2hrs 0mins
A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to the volume of water in the fishbowl in cubic inches?
2,144.66 in.3
17,157.28 in.3
5,461.67 in.3
6,433.98 in.3
A
B
C
D
A relation contains the points (1, 2), (2, −1), (3, 0), (4, 1), and (5, −1). Which statement accurately describes this relation?
F The relation does not represent y as a function of x, because each value of x is associated with a single value of y.
G The relation represents y as a function of x, because one value of y is associated with two values of x.
H The relation does not represent y as a function of x, because each value of y is associated with two values of x.
J The relation represents y as a function of x, because each value of x is associated with a single value of y.
In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?
V = π(6)2h
V = π(6h )2
V = π(12)2h
V = π(12h)2
Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did. How many pieces of gum did Julie give away if they had the same number of pieces of gum left?
18
5
15
8
Trapezoid PQRS is rotated 180° about the origin to form trapezoid P'Q′ R′S′. Which statement is true?
The sum of the angle measures of trapezoid PQRS is 180° less than the sum of the angle measures of trapezoid P'Q'R'S'.
Trapezoid PQRS is not congruent to trapezoid P'Q'R'S′.
The area of trapezoid PQRS is less than the area of trapezoid P'Q'R'S′.
The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S′.
Which function is best represented by this graph?
A
B
C
D
In each diagram, line k is parallel to line l, and line t intersects lines k and l. Based on the diagrams, which statement is true?
The value of x is 79, because the two angles shown in each diagram are congruent.
The value of x is 101, because the two angles shown in each diagram are supplementary.
The value of x is greater than 90, because the two angles shown in each diagram are obtuse angles.
The value of x is 11, because the two angles shown in each diagram are complementary.
Triangle JKL is dilated with the origin as the center of dilation to create triangle J' K′ L′.Which rule best represents the dilation that has been applied to triangle JKL to create triangle J' K′L′?
A
B
C
D
A gym charges a membership fee plus an additional fee per yoga class. The table shows the linear relationship between the number of yoga classes taken and the total cost including the membership fee. Which statement is true?
The additional fee per yoga class is $3.75.
The additional fee per yoga class is $8.25.
The membership fee is $35.00.
The membership fee is $42.50.
Joseph ran a 6-mile race in 48 minutes. Which graph has a slope that best represents Joseph’s average rate of speed during the race?
F
G
H
J
Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V' W′X Y′Z .Which rule describes this transformation?
A ( x, y) → ( x, −y)
( x, y → (x, y + 8)
( x, y) → (−y, x)
( x, y) → (−x y)
Which list shows these numbers in order from least to greatest?
F
G
H
J
What is the solution to this equation?
2x + 3 = x − 4
7
-7
2
-2
The ticket sales for a concert started at 4:00 P.M. The table shows the linear relationship between the number of tickets remaining and the number of hours since 4:00 P.M. Which function can be used to find y, the number of tickets remaining x hours since 4:00 P.M.?
y = 3,000x + 12,000
y = 3,000x + 15,000
y = −3,000x + 12,000
y = −3,000x + 15,000
Which situation could NOT represent a proportional relationship?
The number of gallons of water in x barrels with 42 gallons of water in each barrel
The amount an employee who makes $8.50 per hour earns in h hours
The weight in x weeks of a puppy that gains 2 pounds per week if its starting weight is 8 pounds
The cost of purchasing p pounds of bananas for $0.55 per pound
The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagonal. Which measurement is closest to the length of the diagonal in inches?
6.24 in.
19.5 in.
6.98 in.
13.9 in.
The amount of water an electric dishwasher uses to wash dishes varies directly with the number of loads of dishes. The dishwasher uses 32 gallons of water to wash 4 loads of dishes. How many gallons of water will the dishwasher use to wash 10 loads of dishes?
800
80
70
90
Which representation shows y as a function of x?
A
B
C
D
An architect uses a cylindrical container to protect her blueprints. The dimensions of the cylinder are shown in the diagram.Which measurement is closest to the total surface area of the container in square inches?
424.12 in.2
791.68 in.2
339.29 in.2
282.74 in.2
Which scatterplot does NOT suggest a linear relationship between x and y?
F
G
H
J
Point Q is shown on the number line.
A
B
C
D
An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represents this rate?
F
G
H
J
A sphere and its dimension are shown in the diagram.Which measurement is closest to the volume of the sphere in cubic inches?
1,325.4 in.3
188.5 in.3
94.2 in.3
1,767.1 in.3
A polygon will be dilated on a coordinate grid to create a larger polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation?
F
G
H
J
The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the length of this rectangle in feet?
9 ft
17 ft
12.4 ft
13.6 ft
A coach is ordering shirts for a team. • The coach pays a one-time fee of $24. • The coach also pays $8 for each shirt ordered. Which function can be used to find c, the total amount the coach pays in dollars when k shirts are ordered?
c = 8k 32
c = 8k + 24
c = 32k + 8
c = 24k + 8
What value of x makes this equation true?
12x - 15 = 6 - 3x
F
G
H
J
Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the vertices are integers.
F
G
H
J
The diagram shows three squares that are joined at vertices to form a right triangle.Which statement is true?
A The sum of the areas of Square N and Square L is equal to the area of Square K.
B The sum of the areas of Square N and Square L is greater than the area of Square K.
C The sum of the areas of Square N and Square K is equal to the area of Square L.
D The sum of the areas of Square N and Square K is less than the area of Square L.
Students recorded the total number of pages and chapters in each of several books on the scatterplot.Based on the scatterplot, which is the best prediction of the total number of pages in a book with 4 chapters?
150 pages
140 pages
90 pages
120 pages
F
G
H
J
A polygon is graphed on a coordinate grid with (, ) x y representing the location of a certain point on the polygon. The polygon is transformed using the rule ( x, y ) → (d, dy). Which statement must be true?
If a is greater than 1, the image of the polygon is congruent to the polygon.
If a is between 0 and 1, the image of the polygon is congruent to the polygon.
If a is greater than 1, the image of the polygon is smaller than the polygon.
If a is between 0 and 1, the image of the polygon is smaller than the polygon.
The density of oxygen is 0.001429 grams per cubic centimeter. How is this number written in scientific notation?
1.429 x103
1.429 x 102
1.429 x 10-3
1.429 x 102
The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters. The height of the prism is 16.5 meters.What is the lateral surface area of the prism in square meters?
379.5 m3
37.95 m3
3.795 m3
3.00795 m3
The table shows the linear relationship between the number of hours Francis worked, x, and the amount of money Francis earned, y.Based on the table, how much did Francis earn per hour?
$17.50 per hour
$14.00 per hour
$35.00 per hour
$24.50 per hour
Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale.
F
G
H
J
The scatterplot shows the time spent playing a video game and the number of points scored by several students.Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game?
1,200
920
1,060
1,300
2 Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P'Q'R'S . Which rule describes this transformation?
F
G
H
J
The length of a rectangular frame is 15 inches, and the width of the frame is 8 inches. What is the length of a diagonal of this frame in inches?
17
16
12
15
