1.
The expression 3 · 3 · 3 · 3 can be written using exponents as _____.
A.
4
3
B.
4(3)
C.
3
4
D.
3(4)
Hint
2.
You can multiply powers with the same base by _____.
A.
adding the exponents
B.
multiplying the exponents
C.
dividing the exponents
D.
subtracting the exponents
Hint
3.
The rule for negative exponents states that
Which statement is
not
a correct use of this rule?
A.
B.
C.
D.
10
-1
= 1
Hint
4.
The rule for multiplying by powers of 10 states that if the exponent of the 10 is positive, then you move the decimal point __________.
A.
to the right by the number of spaces as the number in the exponent minus 1
B.
to the right by the same number of spaces as the number in the exponent
C.
to the right by the number of spaces as the number in the exponent plus 1
D.
to the left by the same number of spaces as the number in the exponent
Hint
5.
Simplify
.
A.
B.
C.
D.
Hint
6.
Numbers like
and
have decimal values that do not terminate or repeat. These numbers are called ______.
A.
rational numbers
B.
whole numbers
C.
irrational numbers
D.
square numbers
Hint
7.
Write (4)(4)(4)(-1)(-1)(3)(3)(3)(3)(3)(3) using exponents.
A.
(4)(-1)(3)
3 · 2 · 6
B.
(3)
4
(2)
-1
(6)
3
C.
(4)
3
(-1)
2
(3)
6
D.
(3)(2)(6)
4 · -1 · 3
Hint
8.
Simplify the expression (
j
k
)(2
k
)(3
jk
5
).
A.
6
j>
2
k
5
B.
6
j
3
k
7
C.
5
j
3
k
7
D.
5
j
2
k
5
Hint
9.
Simplify the expression
A.
B.
C.
D.
Hint
10.
Express 5 gigabytes in scientific notation.
A.
5 × 10
-6
bytes
B.
5 × 10
9
bytes
C.
5 × 10
6
bytes
D.
5 × 10
-9
bytes
Hint
11.
Simplify the expression
.
A.
8
B.
14
C.
12
D.
20
Hint
12.
Chris is making a square patio of square stones that each measure 1 ft
2
. If each stone costs two dollars and he can spend no more than $956.00, how long can the patio be?
A.
30 ft
B.
21 ft
C.
31 ft
D.
22 ft
Hint
13.
Find the length of the leg of the right triangle.
A.
4 cm
B.
17.7 cm
C.
12.5 cm
D.
5 cm
Hint
14.
Determine if the triangle is a right triangle. Explain.
A.
No; the sum of the lengths of the legs is not equal to the length of the hypotenuse.
B.
Yes; the sum of the lengths of the legs is equal to the length of the hypotenuse.
C.
Yes; the sum of the squares of the lengths of the legs is equal to the square of the hypotenuse.
D.
No; the sum of the squares of the lengths of the legs is not equal to the square of the hypotenuse.
Hint