AnswersPre-Algebra A-CRWriting and Evaluating Expressions

Writing and Evaluating Expressions Answers

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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
2
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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.
3

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
4

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
5

Henry divided his socks into five equal groups. Let s represent the total number of socks. Which expression and solution represent the number of socks in each group if ?

Question illustration
A
; when , the number of socks in each group is 4.
Option A
B
; when , the number of socks in each group is 15.
Option B
C
; when , the number of socks in each group is 4.
Option C
D
; when , the number of socks in each group is 15.
Option D
6

Salina’s age is one-quarter the age of her aunt. If a represents her aunt’s age, which expression represents Salina’s age?

A
4a
B
a minus 4
Option B
C
a + 4
Option C
D
StartFraction a Over 4 EndFraction
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

Which algebraic expression represents “the sum of a number and 9”?

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

Jillian wanted to determine the difference of 7 and a number, n. She wrote in a table several possible expressions she could use to represent this. Which is the correct expression number?Expression NumberExpression1234 Expression number:

Question illustration
Answer not available
10

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
11

Joe told Mickey he got an hourly raise at work and his new rate will be $10.25 per hour. Mickey wants to know what Joe’s hourly rate was before his raise. If r represents the amount of the raise, which expression represents Joe’s hourly rate before his raise?

A
r minus 10.25
Option A
B
10.25 minus r
Option B
C
10.25 + r
Option C
D
r + 10.25
Option D
12

The height of Sonji’s picture frame is 18 inches. Part of the height is from the matting. Sonji wants to know the height of a picture that will fit in the remaining height of the frame. If m represents the height of one side of the matting, which expression represents the height of the opening for the picture?

Question illustration
A
StartFraction 18 Over m EndFraction
Option A
B
StartFraction 2 m Over 18 EndFraction
Option B
C
18 minus 2 m
Option C
D
m minus 18
Option D
13

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.
14

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
15

Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles, what is the correct expression and distance Sandra rode?

A
; when the distance Sandra rode is 17 miles.
Option A
B
5b; when the distance Sandra rode is 17 miles.
Option B
C
5b; when the distance Sandra rode is 8.4 miles.
Option C
D
; when the distance Sandra rode is 8.4 miles.
Option D

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