Laws of Exponents (8.NCC.3)
Use the laws of exponents to simplify the following:
x2 * x5 * x3
x10
Solve for x:
2x + 10 = 20
5
What solution for x makes the equations below true?
x2 = 81
9
What are the three basic rigid motions?
Translation, reflection, and rotation
Write the following number in correct scientific:
500000000
5 x 108
Use the laws of exponents to simplify the following:
x5 / x2
x3
2(x + 3) = 24
9
Solve the following equation:
x3 = 216
6
True or False: All transformations map segments to segments and preserve their length
True
Write the following number in scientific notation:
0.0000000136
1.36 x 10-8
Use the laws of exponents to simplify the following:
23 * 28 * 93 * 24 * 93
215 * 96
Solve for q:
2q + 9q + 12 = 3(q + 8) + 4
2
What is the solution for x?
x3 = 8
2
True or False: The three basic rigid motions are angle preserving.
True
(2.3 x 105) + (3.1 x 105)
5.4 x 105
Use the laws of exponents to simplify the following:
((23)4 * 211) / 2-4
227
How many solutions does the following linear equation have?
5x + 11 = 5x + 11
Infinite
What is the solution to the following equation?
x2 = q2
x = q
True or False: When you reflect a figure the reflection should be larger than the original.
False
Solve the following operations with numbers in scientific notation:
(5.4 x 109) - (3.4 x 108)
5.06 x 109
Use the laws of exponents to simplify the following:
(x9 * y5) / (x5 * y-1)
x4 * y6
Fill in the blank to make the following equation have no solution:
2(3x + 5) - x = __x - 57 + 6x
-1
What is the solution to the following equation? (Hint: what does x equal?)
(x + 2)2 = q2
x = q - 2
If point P is at coordinate points (6,-7) and you are asked to translate (3,5), what are the coordinate points for P'?
(9,-2)
Solve the following operations with numbers in scientific notation (Round to hundredths):
(9.7 x 105) (6.3 x 106)
6.11 x 1012