AnswersConcepts in Probability and Statistics AMean Absolute Deviation

Numerical Expressions with Exponents Answers

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1
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What is written in expanded form?

Question illustration
A
4 + 4 + 4 + 4 + 4
Option A
B
4 times 4 times 4 times 4 times 4
Option B
C
5 + 5 + 5 + 5
Option C
D
5 times 5 times 5 times 5
Option D
2
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What is the correct expanded form and value of ?

Question illustration
A
Four-fifths + four-fifths + four-fifths = StartFraction 12 Over 5 EndFraction
Option A
B
Four-fifths times four-fifths times four-fifths = StartFraction 64 Over 125 EndFraction
Option B
C
StartFraction 4 + 4 + 4 Over 5 EndFraction = StartFraction 12 Over 5 EndFraction
Option C
D
Five-fourths times five-fourths times five-fourths = StartFraction 125 Over 64 EndFraction
Option D
3

Which statements apply to the expression ? Check all that apply.

Question illustration
A
The base is .
Option A
B
The base is 3.
C
The exponent is 3.
D
The expanded form is .
Option D
E
The expanded form is .
Option E
F
(Three-fifths) cubed = StartFraction 9 Over 15 EndFraction
Option F
G
(Three-fifths) cubed = StartFraction 27 Over 125 EndFraction
Option G
4

What is the exponent in the expression ?

Question illustration
A
6
B
7
C
13
D
42
5

What is the correct expanded form and value of ?

Question illustration
A
4 + 4 + 4 = 12
Option A
B
4 times 4 times 4 = 64
Option B
C
3 + 3 + 3 + 3 = 12
Option C
D
3 times 3 times 3 times 3 = 81
Option D
6

Which statements apply to the expression ? Check all that apply.

Question illustration
A
The base is 8.
B
The base is 3.
C
The exponent is 3.
D
The exponent tells you to multiply 8 together 3 times.
E
The exponent tells you to multiply 3 together 8 times.
F
The expanded form is .
Option F
G
The expanded form is .
Option G
7

Jeanie wrote the expanded form of below.Which statement is true?

Question illustration
A
Jeanie wrote the expanded form correctly.
B
Jeanie should have used only four factors of 0.2 as the base.
C
Jeanie should have multiplied the base by itself five times.
D
Jeanie should have multiplied 0.2 by 5.
8

What is the value of the expression ?

Question illustration
A
StartFraction 81 Over 256 EndFraction
Option A
B
StartFraction 27 Over 64 EndFraction
Option B
C
StartFraction 9 Over 12 EndFraction
Option C
D
StartFraction 27 Over 4 EndFraction
Option D
9

What is the exponential form of the expanded form below?

Question illustration
A
4 times 6
Option A
B
4 superscript 6
Option B
C
6 superscript 4
Option C
D
4 cubed
Option D
10

What is the base in the expression ?

Question illustration
A
4
B
5
C
9
D
20
11

Which is a correct representation of using algebra tiles?

Question illustration
A
5 boxes contain x.
Option A
B
5 boxes contain plus signs.
Option B
C
5 boxes contain x and 1 box contains a plus sign.
Option C
D
5 boxes contain a plus sign and 1 box contains x.
Option D
12

Which expression can be used to model the phrase “the sum of three and a number”?

A
3 + x
Option A
B
x minus 3
Option B
C
3 minus x
Option C
D
x times 3
Option D
13

Which statement could the expression represent?

Question illustration
A
Andrea has 13 eggs and bought 13 more.
B
Victoria has 13 flowers. This is greater than the number of flowers Elisa has.
C
Prakhar is 13 years older than his youngest sister.
D
Kai is 13 blocks from home. Jack is a greater distance away.
14

Mrs. Nelson asked students in her class to translate the statement “Remy lost some of the $14 his mom gave him” into an algebraic expression. Four students’ solutions are shown below.Alice: He had $14, then he lost (subtraction) an unknown amount (x).Bobby: He had an unknown amount of money (x) and he lost (subtraction) $14.Camila: He had $14 more than (>) the unknown amount (x) he lost.Daniel: He had $14 less than (<) the unknown amount (x) he lost.Which student’s solution is correct?

Question illustration
A
Alice
B
Bobby
C
Camila
D
Daniel
15

Which steps can be taken to translate the phrase “the height of a tree is increased by seven inches” into an algebraic expression? Check all that apply.

A
Replace “the height of a tree” with a variable, x.
B
Replace “seven inches” with a variable, x.
C
Replace “increased by” with an addition symbol.
D
Replace “seven inches” with 7.
E
Replace “increased by” with a multiplication symbol.
F
Replace “the height of a tree” with 7.
G
Write the expression .
Option G
H
Write the expression .
Option H
16

Which situations can represent the expression ? Check all that apply.

Question illustration
A
Naomi gives some of her six pencils away.
B
Sydney increased her collection of coins by six.
C
Benjamin lost six of his stickers.
D
Six servings of dinner were decreased by a number.
E
Westville has 6 fewer schools than Eastville.
F
Gabrielle decreased her 6-minute mile by an unknown amount of time.
17

Which expression models the phrase “Wally mowed two more lawns than he mowed last week”?

A
n + 2
Option A
B
n minus 2
Option B
C
2 minus n
Option C
D
2 n
Option D
18

Jillian was asked to translate the expression into words. She wrote “a number increased by nine.” Which best describes the accuracy of Jillian’s answer?

Question illustration
A
It is incorrect. The variable would come first in the expression “a number” (n) “increased by” (+) “nine” (9).
B
It is incorrect. The phrase “increased by” refers to the inequality symbol “greater than” (>), not addition.
C
It is correct. A number increased by nine () is the same as nine increased by a number ().
Option C
D
It is incorrect. A number increased by nine refers to a multiplication expression ().
Option D
19

Kelley writes the expression to model the phrase “Xander studied two more hours than Nandini.” Which best explains the accuracy of Kelley’s expression?

Question illustration
A
It is accurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so or are correct translations.
Option A
B
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so is the correct translation.
Option B
C
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more than” is “>,” and Nandini’s study time is unknown or “n,” so is the correct translation.
Option C
D
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more than” is “<,” and Nandini’s study time is unknown or “n,” so is the correct translation.
Option D
20

Which statement could the expression represent?

Question illustration
A
one point greater than the last test grade
B
the difference of Gina’s score and one
C
the total cost less one dollar
D
one minute less than Mickey’s previous time

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