2
10 8
6
7 24
50
4
8 10
40 1
47
45 19
6 51 2
9 5
Grade Book Detail
Lee, Amanda
Started: November 15, 2019, 12:24 pm
Last change: November 15, 2019, 1:43 pm
Time spent: 79 minutes
Total time questions were on-screen: 43.5 minutes.
Showing Scored Attempts | Show Last Attempts | Show Review Attempts
Hide Correct Questions Hide Perfect Questions Hide Unanswered Questions
Show All Answers Preview All
a. Which of the following are factors of 24? Select all that apply.
b. Which of the following are factors of 100? Select all that apply.
Question 1: 2 out of 2 in 1 attempt(s)
Which of the following are prime numbers? Select all that apply.
Question 2: 1 out of 1 in 2 attempt(s)
5.5: Properties of Exponents (Lesson)
Which of the following are correct prime factorizations? Select all that apply.
45 as 5 3 3
48 as 6 2 2 2
12 as 4 3
27 as 9 3
42 as 7 3 2
14 as 7 2
Question 3: 1 out of 1 in 1 attempt(s)
a. Which of the following also represents the product 2 5 11 2 2 5 9 ?
13 + 2 + 5
99 + 2 + 5
99 ⋅ 3 ⋅ 2
13 ⋅ 2 ⋅ 5
99 ⋅ 2 ⋅ 5
b. Which of the following expressions written in exponential notation represents the product
3 7 3 4 3 3 7 4 ?
4 + 4 + 7
4 ⋅ 4 ⋅ 7
12 ⋅ 7
3 ⋅ 4 ⋅ 7
3 + 4 + 7
Question 4: 2 out of 2 in 1 attempt(s)
( )( )( )
( )( )( )( )
( )( )
( )( )
( )( )( )
( )( )
( )( )( )( )( )( )( )
3 2
3 2
2 5
3 2
3 2
( )( )( )( )( )( )( )( )
3 2 2
3 2 2
6 2
4 2 2
4 2 2
Which of the following expressions is equivalent to 2 ⋅ 3 ⋅ 5 ? Select all that apply.
2 2 3 4 2 3 2 2 4 4
2 2 3 5 3 3 2 5 3
5 2 3 3 3 3 2 2 5
18432
16200
3 4 4 4 2 2 2 2 3 2
Question 5: 1 out of 1 in 1 attempt(s)
a. The product 6 ⋅ 7 6 ⋅ 7 can be represented as 6 ⋅ 7 where:
◦a=
7
◦b=
10
b. The product 5 ⋅ 2 5 ⋅ 2 can be represented as 5 ⋅ 2 where:
◦a=
7
◦b=
12
Question 6: 2 out of 2 in 1 attempt(s)
a. The product 2 ⋅ x⋅y5 ⋅ x⋅y can be represented as a⋅x⋅y where:
◦a=
10
◦b=
9
◦c=
6
b. The product 9 ⋅ x⋅y3 ⋅ x⋅y can be represented as a⋅x⋅y where:
◦a=
27
◦b=
9
◦c=
7
342
( )( )( )( )( )( )( )( )( )( )
( )( )( )( )( )( )( )( )( )
( )( )( )( )( )( )( )( )( )
( )( )( )( )( )( )( )( )( )( )
(4 8)( 3 2)a b
(6 3)( 9)a b
(7 3)( 2 3)b c
(5 6)( 4)b c
Question 7: 3 out of 3 in 1 attempt(s)
a. The expression can be written in the form 2 where:
◦a=
4
b. What is the value of the quotient in part (a) as a whole number (like 50 or 88, etc.)?
16
c. The expression can be rewritten in the form 6 ⋅ 7 where:
◦a=
3
◦b=
4
Question 8: 3 out of 3 in 1 attempt(s)
a. The expression can be rewritten in the form x y where:
◦a=
5
◦b=
6
b. Which of the following expressions has a value equivalent to 2 ⋅ 5 ? Select all that apply.
2 ⋅ 5 2 ⋅ 5
2 ⋅ 5 2 ⋅ 5
27
211 a
6 ⋅ 7
5
6 ⋅ 7
8 5 a b
x y
3 4
x x y
2 6 10 a b
4 3
(2)( 3)
55
2 ⋅ 5 ⋅ 5
4 2 6
52
2 ⋅ 2 ⋅ 5
4 5
2 ⋅ 5
3
2 ⋅ 5
7 3
2 ⋅ 5
2 6
2 ⋅ 5
6 9
(2)( 2 3)
Question 9: 2 out of 2 in 1 attempt(s)
a. The expression can be rewritten in the form 5 where a is an integer. What is the value
of a?
◦a=
-4
b. The expression can be rewritten in the form 5 ⋅ 7 where a and b are integers.
What are the values of a and b?
◦a=
-2
◦b=
1
c. Which of the following expressions has a value equivalent to ? Select all that apply.
x
x
d. Which of the following expressions has a value equivalent to ? Select all that apply.
x y
x y
Question 10: 4 out of 4 in 1 attempt(s)
57
53a
5 ⋅ 7
4 7
5 ⋅ 7
2 8 a b
x3
1
x4
x7
−3
3
x8
x5
y2
x2
2 −2
x y
4
x y
2 3
(−2 2)
x y
7 3
x⋅y
9
a. Write the expression that is equivalent to xusing only a single exponent.
x=
x^20
b. Write the expression that is equivalent to yusing only a single exponent.
y=
y^6
c. Write the expression that is equivalent to xusing only a single exponent.
x=
x^14
d. Write the expression that is equivalent to using only a single exponent.
=
x^(-2)
Question 11: 4 out of 4 in 1 attempt(s)
a. We want to verify that 3 + 5 and 3 + 5 are NOT equivalent. Compute the values of
these two expressions.
◦3 + 5 =
512
◦3 + 5 =
152
b. We want to verify that 10 − 6 and 10 − 6 are NOT equivalent. Compute the values
of these two expressions.
◦10 − 6 =
16
◦10 − 6 =
64
c. We want to verify that 4 ⋅ 3 and 4 ⋅ 3 ARE equivalent. Compute the values of these
two expressions.
◦4 ⋅ 3 =
144
◦4 ⋅ 3 =
144
Question 12: 3 out of 3 in 2 attempt(s)
(4)5
(4)5
(3)2
(3)2
(2)7
(2)7
x20
x(3)6
x20
x(3)6
( )3 3 3
( )3
3 3
( )2 2 2
( )2
2 2
( )2 2 2
( )2
2 2
a. The expression 2 ⋅ 7 can be rewritten in the form 2 ⋅ 7 where:
◦a=
5
◦b=
5
b. The expression x y can be rewritten in the form x y where:
◦a=
12
◦b=
8
Question 13: 2 out of 2 in 1 attempt(s)
a. Which of the following expressions is equivalent to x y ? Select all that apply.
x y
b. Which of the following expressions is equivalent to 8x? Select all that apply.
2x
2x⋅ 2x
Question 14: 2 out of 2 in 1 attempt(s)
( )5a b
(3 2)4a b
7 4
x y
2
xy( )5
xy( )2
x y(3 2)3
(2)4
y
xy ⋅x( )5 2
5
(2)3
x4
2x(3)3
( )2(4)
22
2x( )5
Consider the equation 2 = 8. What value of x makes this statement true?
x=
3
Question 15: 1 out of 1 in 1 attempt(s)
Consider the equation 2 = 16. Let's reason through the solution.
a. What exponent on 2 yields 16? In other words, what must replace the "?" in the statement
2 = 16?
? =
4
b. The answer to part (a) is the value of . So what must be the value of x?
x=
8
c. Enter the expression 2 into the following input box using your value of x to verify that
its value is 16. Use parentheses around the exponent to avoid errors.
2 =
2^(8/2)
Question 16: 3 out of 3 in 1 attempt(s)
Consider the equation 3 = 27. Let's reason through the solution.
a. What exponent on 3 yields 27? In other words, what must replace the "?" in the statement
3 = 27?
? =
3
b. The answer to part (a) is the value of x+ 1. So what must be the value of x?
x=
2
c. Enter the expression 3 into the following input box using your value of x to verify
that its value is 27. Use parentheses around the exponent to avoid errors.
3 =
3^(2+1)
Question 17: 3 out of 3 in 1 attempt(s)
x
2
x
?
2
x
2
x
2
x
x+1
?
x+1
x+1
Consider the equation 4 − 10 = 6. Let's reason through the solution.
a. What must the value of 4 be if 4 − 10 = 6?
4 =
16
b. Based on your answer to part (a), what must the value of x be?
x=
2
c. Enter the expression 4 − 10 into the following input box using your value of x to verify
that its value is 6.
4 − 10 =
4^2-10
Question 18: 3 out of 3 in 1 attempt(s)
Consider the table of values below that shows different powers of 10.
exponential form integer value
10
1
10 10
10
100
10 1000
10
10000
a. Fill in the table above.
b. Consider the equation 10 = 700. The solution is not an integer (we know this because
700 does not appear in the table). What two integer values is the solution between?
The value of x must be more than
2
but less than
3
.
Question 19: 2 out of 2 in 1 attempt(s)
x
x x
x
x
x
0
1
2
3
4
x
Consider the table of values below that shows different powers of 2.
exponential form integer value
21
22
2
4
2
8
216
232
2
64
2128
a. Fill in the table above.
b. Consider the equation 2 = 47. The solution is not an integer (we know this because 47
does not appear in the table). What two integer values is the solution between?
The value of x must be more than
5
but less than
6
.
Question 20: 2 out of 2 in 1 attempt(s)
Total: 46/46
Categorized Score Breakdown
Category Points Earned / Possible (Percent)
46 / 46 (100 %)
0
1
2
3
4
5
6
7
x
