Transformations
The vertices of a square are A (1, -2), B (3, -2), C (3,-4), and D (1, -4). Draw the figure and its image after a translation 4 units left and 6 units up.
See Graph Paper.
Triangle ABC has two known angles. Angle A is 32 degrees, while angle B is 48 degrees. What is the angle measure of angle C?
100 degrees.
Find the volume of the cylinder. Round your answer to the nearest tenth. Radius of 3m. Height of 6m.
about 169.6 m^3.
Solve the system by graphing.
y=2x+5 and y=-4x-1
(-1, 3)
Create a scatter plot for television size and price. Use as many points as needed. Make sure it has a positive linear relationship. Include an outlier, a cluster, and a gap.
Based on drawings.
The vertices of a triangle are A (-1,1), B (-1, 3), and C (6, 3). Draw the figure and its reflection in the x-axis. What are the coordinates of the image?
A' (-1, -1), B' (-1, -3), and C' (6, -3).
A sign is in the shape of a pentagon. It has 5 sides. Find the sum of the interior angle measures.
The sum of the interior angle measures is 540 degrees.
Find the volume of the cone. Round your answer to the nearest tenth. The diameter is 4m. The height is 6m.
about 25.1 m^3.
Solve the system by substitution.
y=2x-4 and 7x-2y=5
(-1, -6)
The points below show the worldwide move ticket sales y (in billions of dollars) from 2000 to 2003, where x=0 represents 2000. Find an equation of the line of best fit.
(0, 16) (1, 17) (2, 20) (3, 20)
Based on which points were chosen.
The vertices of a trapezoid are W (-4, 2), X (-3, 4), Y (-1, 4) and Z (-1, 2). Rotate the trapezoid 180 degrees about the origin. What are the coordinates of the image?
W' (4, -2), X' (3, -4), Y' (1, -4), and Z' (1, -2).
Evaluate this expression: 5√36 + 7.
37
Find the volume of the sphere. Round your answer to the nearest tenth. The radius is 4cm.
about 268.1 cm^3.
Solve the system by elimination.
x+3y=-2 and x-3y=16
(7, -3)
How many students in the two way table studied for the test and passed?
21 students.
The vertices of a triangle are A (1, 3), B (2, 3), and C (2, 1). Draw the image of triangle ABC after a dilation with a scale factor of 3. What are the coordinates of the image? Also, identify the type of dilation.
A' (3, 9), B' (6, 9), and C' (6, 3). The dilation is an enlargement.
Find the length of the hypotenuse of the triangle. The other two side lengths are 5m and 12m.
13 m
Find the height of the cylinder. Round your answer to the nearest whole number. The diameter is 10 in. The volume is 314 in^3.
about 4 in.
Solve the system by using any method.
y=3x+1 and y=3x-3.
No solution.
Choose an appropriate data display for the situation and explain: the number of students in a marching band each year.
A line graph shows change over time. So, a line graph is an appropriate data display.
The vertices of a square are W (-4, -6), X (-4, 8), Y (4, 8), and Z (4, -6). Draw the image of rectangle WXYZ after a dilation with a scale factor of 0.5. What are the coordinates of the image? Also, identify the type of dilation.
W' (-2, -3), X' (-2, 4), Y' (2, 4), and Z' (2, -3). The dilation is a reduction.
Classify the real number as either rational or irrational. Then explain your reasoning. √12.
Irrational. It is not a perfect square.
Find the height of the cone. Round your answer to the nearest tenth. The radius is 9ft. The volume is 956 ft^3.
about 11.3 ft.
A kicker on a football team scores 1 point for making an extra point and 3 points for making a field goal. The kicker makes a total of 8 extra points and field goals in a game and scores 12 points. Write and solve a system of linear equations to find the number x of extra points and the number y of field goals.
The solution is (6, 2). So, the kicker made 6 extra points and 2 field goals.
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