Writing and Evaluating Expressions Answers

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1
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Fiona doubled the original amount in her savings account, s. Which expression represents her new balance and what is that new balance if ?

Question illustration
A
; when the new balance in Fiona’s savings account is $80.
Option A
B
; when the new balance in Fiona’s savings account is $320.
Option B
C
; when the new balance in Fiona’s savings account is $320.
Option C
D
; when the new balance in Fiona’s savings account is $80.
Option D
2
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Which expression has a value of 15 when ?

Question illustration
A
StartFraction 18 Over p EndFraction
Option A
B
3p
C
18 minus p
Option C
D
p + 3
Option D
4

A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which statements can be used to write an expression and then find the number of peanuts that ended up in each bag? Check all that apply.

A
The operation is division.
B
The operation is multiplication.
C
The variable is the number of bags.
D
342 divided by 6 equals 57.
E
Write the division expression as a fraction, .
Option E
F
To evaluate, substitute 342 for the variable.
G
Each bag will have 57 peanuts.
H
The constant is 342.
5

Write and evaluate the following algebraic expression when . the product of 24 and a numberWhich is the correct expression and product?

Question illustration
A
; when , the value is 115.2.
Option A
B
; when , the value is 5.
Option B
C
; when , the value is 115.2.
Option C
D
; when , the value is 5.
Option D
6

Which algebraic expression represents “the difference of 54 and a number”?

A
54 minus n
Option A
B
StartFraction 54 Over n EndFraction
Option B
C
54 n
Option C
D
54 + n
Option D
7

Which algebraic expression represents “the quotient of 7 and a number”?

A
StartFraction 7 Over n EndFraction
Option A
B
7 + n
Option B
C
7 n
Option C
D
7 minus n
Option D
8

Veronique found the difference of a number and 8.Which expression models the situation?

A
n minus 8
Option A
B
StartFraction 8 Over n EndFraction
Option B
C
StartFraction n Over 8 EndFraction
Option C
D
8 minus n
Option D
9

Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if . Which statements are true about the expression and its evaluation? Check all that apply.

Question illustration
A
The correct expression is .
Option A
B
This is a subtraction expression.
C
This is an addition expression.
D
To evaluate, substitute 29 for the variable in the expression.
E
To evaluate, substitute 31 for the variable in the equation.
F
To evaluate the expression, add 31 to 29.
G
The correct expression is .
Option G
H
To evaluate the expression, subtract 31 from 29.
10

Which description matches the algebraic expression ?

Question illustration
A
the sum of a number and 45
B
the quotient of a number and 45
C
the product of a number and 45
D
the difference of a number and 45

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