Exponents & Scientific Notation
Simplify: x4 * x7
x11
Triangle ABC has vertices A(1, 2), B(3, 5), C(4, 1). Translate the triangle 3 units right and 4 units down. Write the new coordinates.
A′(4, −2), B′(6, 1), C′(7, −3)
Find the volume of a cylinder with radius 5 cm and height 12 cm. Use 3.14 for pi
942 cm3
Find the missing side: legs 6 ft and 8 ft. Find the hypotenuse.
10 ft
Two parallel lines are cut by a transversal. One angle measures 65°. Find the alternate interior angle.
65 degrees
32 * 35
37=2,187
A point is at (−2,6)(-2, 6)(−2,6). After a translation, it is at (4,2)(4, 2)(4,2). Describe the translation.
6 right, 4 down
A cylinder has diameter 10 ft and height 7 ft. Find the volume.
549.5 ft3
A right triangle has a hypotenuse of 17 m and one leg of 8 m. Find the other leg.
15 m
Corresponding angles measure (3x+10) degrees and (5x-6) degrees. Find x.
x=8
Simplify (2a3)(5a4)
10a7
Reflect point A(4, −3) across the x-axis. What are the new coordinates?
(4, 3)
Find the volume of a cone with radius 6 m and height 9 m.
339.12 m3
Find the cube root of 512.
8
A triangle has angles (2x + 10) degrees, (3x - 5) degrees, and 55 degrees. Find x.
x=24
Write 4,750,000 in scientific notation.
4.75 x 106
Rotate point A(3, 5) 90° counterclockwise about the origin.
(−5, 3)
Find the volume of a sphere with radius 3 in.
113.04 in3
Between which two consecutive integers does
sqrt(50)
lie?
7 and 8
Two similar triangles have sides in ratio 2:5. If the smaller triangle has a side of 8 m, find the corresponding side in the larger triangle.
20 m
Multiply and write in scientific notation:
(3 x 104)(2 x 106)
6 x 1010
Point A(4, 6) is dilated with a scale factor of 3 centered at the origin. Find the image.
(12, 18)
A sphere has a volume of 904.32 ft3. Find the radius.
6 ft
Order from least to greatest:
sqrt(20), 4.3, 4 1/2, sqrt(18)
sqrt(18), 4.3, sqrt(20), 4 1/2
Triangle ABC ~ Triangle DEF. AB = 10, BC = 14, DE = 15. Find EF.
21